{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c979f719-a7bd-4392-86f9-f699220b2c93",
   "metadata": {},
   "outputs": [],
   "source": [
    "# this is for working with census tracts and precincts.  Saved a new version 15Jan to try Florida w/ westernmost fused\n",
    "from shapely.geometry import Point, LineString, Polygon\n",
    "import shapely\n",
    "import geopandas as gpd\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from numpy import random\n",
    "from scipy.stats import norm\n",
    "import math\n",
    "#tractGeomFile = gpd.read_file(\"state_map_files/fl_pl2020_t.shp\")  #Boo!  Only has geometries.  do not use\n",
    "tractPopFile = gpd.read_file(\"state_map_files/fl_pl2020_t.dbf\") #for Florida, need only this file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "a8590a2a-0527-45ab-a4b3-fe0fdaa45be2",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>geometry</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>POLYGON ((-80.24758 25.99480, -80.24754 25.994...</td>\n",
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       "    <tr>\n",
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       "      <td>POLYGON ((-80.26810 26.19368, -80.26702 26.193...</td>\n",
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       "      <td>POLYGON ((-80.36670 26.12828, -80.36649 26.128...</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>POLYGON ((-80.40957 26.03541, -80.40878 26.035...</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>POLYGON ((-80.24061 26.22083, -80.24056 26.220...</td>\n",
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       "                                            geometry\n",
       "0  POLYGON ((-80.24758 25.99480, -80.24754 25.994...\n",
       "1  POLYGON ((-80.26810 26.19368, -80.26702 26.193...\n",
       "2  POLYGON ((-80.36670 26.12828, -80.36649 26.128...\n",
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       "4  POLYGON ((-80.24061 26.22083, -80.24056 26.220..."
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tractGeomFile.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "5d76e7d7-6979-475e-bc20-36f9f1c09e56",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>STATEFP20</th>\n",
       "      <th>COUNTYFP20</th>\n",
       "      <th>TRACTCE20</th>\n",
       "      <th>GEOID20</th>\n",
       "      <th>NAME20</th>\n",
       "      <th>NAMELSAD20</th>\n",
       "      <th>MTFCC20</th>\n",
       "      <th>FUNCSTAT20</th>\n",
       "      <th>ALAND20</th>\n",
       "      <th>AWATER20</th>\n",
       "      <th>...</th>\n",
       "      <th>P0050002</th>\n",
       "      <th>P0050003</th>\n",
       "      <th>P0050004</th>\n",
       "      <th>P0050005</th>\n",
       "      <th>P0050006</th>\n",
       "      <th>P0050007</th>\n",
       "      <th>P0050008</th>\n",
       "      <th>P0050009</th>\n",
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       "      <th>geometry</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>12</td>\n",
       "      <td>011</td>\n",
       "      <td>110403</td>\n",
       "      <td>12011110403</td>\n",
       "      <td>1104.03</td>\n",
       "      <td>Census Tract</td>\n",
       "      <td>G5020</td>\n",
       "      <td>S</td>\n",
       "      <td>1323099</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
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       "      <td>POLYGON ((-80.24758 25.99480, -80.24754 25.994...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>12</td>\n",
       "      <td>011</td>\n",
       "      <td>060114</td>\n",
       "      <td>12011060114</td>\n",
       "      <td>601.14</td>\n",
       "      <td>Census Tract</td>\n",
       "      <td>G5020</td>\n",
       "      <td>S</td>\n",
       "      <td>2598912</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>POLYGON ((-80.26810 26.19368, -80.26702 26.193...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>12</td>\n",
       "      <td>011</td>\n",
       "      <td>060120</td>\n",
       "      <td>12011060120</td>\n",
       "      <td>601.20</td>\n",
       "      <td>Census Tract</td>\n",
       "      <td>G5020</td>\n",
       "      <td>S</td>\n",
       "      <td>12814719</td>\n",
       "      <td>1823779</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>POLYGON ((-80.36670 26.12828, -80.36649 26.128...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>12</td>\n",
       "      <td>011</td>\n",
       "      <td>110347</td>\n",
       "      <td>12011110347</td>\n",
       "      <td>1103.47</td>\n",
       "      <td>Census Tract</td>\n",
       "      <td>G5020</td>\n",
       "      <td>S</td>\n",
       "      <td>2846117</td>\n",
       "      <td>545293</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>POLYGON ((-80.40957 26.03541, -80.40878 26.035...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>12</td>\n",
       "      <td>011</td>\n",
       "      <td>020421</td>\n",
       "      <td>12011020421</td>\n",
       "      <td>204.21</td>\n",
       "      <td>Census Tract</td>\n",
       "      <td>G5020</td>\n",
       "      <td>S</td>\n",
       "      <td>1060862</td>\n",
       "      <td>16632</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>POLYGON ((-80.24061 26.22083, -80.24056 26.220...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 345 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "  STATEFP20 COUNTYFP20 TRACTCE20      GEOID20   NAME20    NAMELSAD20 MTFCC20  \\\n",
       "0        12        011    110403  12011110403  1104.03  Census Tract   G5020   \n",
       "1        12        011    060114  12011060114   601.14  Census Tract   G5020   \n",
       "2        12        011    060120  12011060120   601.20  Census Tract   G5020   \n",
       "3        12        011    110347  12011110347  1103.47  Census Tract   G5020   \n",
       "4        12        011    020421  12011020421   204.21  Census Tract   G5020   \n",
       "\n",
       "  FUNCSTAT20   ALAND20  AWATER20  ... P0050002 P0050003 P0050004 P0050005  \\\n",
       "0          S   1323099         0  ...        0        0        0        0   \n",
       "1          S   2598912         0  ...        0        0        0        0   \n",
       "2          S  12814719   1823779  ...        0        0        0        0   \n",
       "3          S   2846117    545293  ...        0        0        0        0   \n",
       "4          S   1060862     16632  ...        0        0        0        0   \n",
       "\n",
       "  P0050006 P0050007 P0050008 P0050009 P0050010  \\\n",
       "0        0       10        0        0       10   \n",
       "1        0       16        0        0       16   \n",
       "2        0        0        0        0        0   \n",
       "3        0        0        0        0        0   \n",
       "4        0        0        0        0        0   \n",
       "\n",
       "                                            geometry  \n",
       "0  POLYGON ((-80.24758 25.99480, -80.24754 25.994...  \n",
       "1  POLYGON ((-80.26810 26.19368, -80.26702 26.193...  \n",
       "2  POLYGON ((-80.36670 26.12828, -80.36649 26.128...  \n",
       "3  POLYGON ((-80.40957 26.03541, -80.40878 26.035...  \n",
       "4  POLYGON ((-80.24061 26.22083, -80.24056 26.220...  \n",
       "\n",
       "[5 rows x 345 columns]"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(tractGeomFile)\n",
    "tractPopFile.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "a7a90b04-4b48-4ab8-9195-8d953907c3fb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "there are 5160 popn tracts for Florida\n"
     ]
    }
   ],
   "source": [
    "# EXTRACT TRACT GEOMETRIES AND POPULATIONS INTO LISTS, COMPUTE TRACT AREAS\n",
    "# If the population and geometry data are in one file, this should work.\n",
    "# see \"grabOHtract\" for alternate methods to marry data from multiple files\n",
    "STATE = \"Florida\"\n",
    "tractGeom = tractPopFile['geometry']  #for some states, replace with tractGeomFile\n",
    "tractPop = tractPopFile['P0010001']\n",
    "nTracts = len(tractPop)\n",
    "print(\"there are {0} popn tracts for {1}\".format(nTracts, STATE) )\n",
    "tractArea = [0.]*nTracts\n",
    "for t in range (0,nTracts) :\n",
    "    tractArea[t] = tractGeom[t].area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "76a9afaa-21fa-4f98-af78-a929e878e287",
   "metadata": {},
   "outputs": [],
   "source": [
    "#SKIP THE BELOW FOR ONE-FILE DATA SETS   ***************************\n",
    "# OK, we will sort using the below clunky manual approach\n",
    "zipped_lists = zip(popGeoID, tractPop)\n",
    "sorted_pairs = sorted(zipped_lists)\n",
    "\n",
    "tuples = zip(*sorted_pairs)\n",
    "popGeoID, tractPop = [ list(tuple) for tuple in  tuples]\n",
    "print(popGeoID[2],tractPop[2]) #for fun, print third pair in this series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "376dfcca-0955-4360-878d-1e8c28d46b6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "#SKIP THE BELOW FOR ONE-FILE DATA SETS   ****************************\n",
    "#OK, now do the same clunky sorting for the geometries\n",
    "geomGeoID = tractGeom_sorted['GEOID20']\n",
    "tractGeom = tractGeom_sorted['geometry']\n",
    "zipped_lists = zip(geomGeoID, tractGeom)\n",
    "sorted_pairs = sorted(zipped_lists)\n",
    "\n",
    "tuples = zip(*sorted_pairs)\n",
    "geomGeoID,tractGeom = [ list(tuple) for tuple in  tuples]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1ed90416-2895-4339-96c5-661b25eaa2f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "#SKIP THE BELOW FOR ONE-FILE DATA SETS  *********************************\n",
    "#confirm we have a matching number of population rows and geometry rows from these two files\n",
    "nTracts = len(popGeoID)\n",
    "print(\"there are {0} popn tracts for this state\".format(nTracts) )\n",
    "nGeoms = len(geomGeoID)\n",
    "print(\"there are {0} tract geometries for this state\".format(nGeoms) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ea60e197-c0d0-4344-b347-894ad9640586",
   "metadata": {},
   "outputs": [],
   "source": [
    "#SKIP THE BELOW FOR ONE-FILE DATA SETS *****************************\n",
    "#Now, do some random checks that GeoID's line up throughout this list\n",
    "for m in range(0,nGeoms,100):\n",
    "    if popGeoID[m] != geomGeoID[m] :\n",
    "        print (\"Oh crap!  these GeoID's don't line up for tract \",m)\n",
    "    print(tractPop[m], popGeoID[m], geomGeoID[m])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "10b208af-8eb0-45fa-9dc0-8873eb797200",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of Census tract population for Florida\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#for curiosity, let's plot the distribution of populations among tracts\n",
    "n_bins=50\n",
    "print(\"this is a histogram of Census tract population for \"+STATE)        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(tractPop, bins=n_bins)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "4aac60d6-4cce-469b-b075-ad743acda38c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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B3tU3yJ0/7GY4mWLnb06wZF60Gnr+Ab9tu/t5YHd/ybCu9RwtKxbNYsOqZax/eB+plNM0bezBxptXtPDaqTPMnjmdm5a3qOcsIiXVVaBnQhhgKJnigd39kUIu/4CfBY8vFdbjmaOlUJ281K+AW6+8hCXzZo7ZJuqvA9W8RSSsrgI9//Bt1MO5+aM0ALbt7i8Z1pXO0fLA7n6+33mIZMppakyw/oalbHikOxvK629YyuDpoUjhG+XXQTVLQvpiEImHugr086c3llwuJX9YYZSwjjK+OhOsZ4ZT2S+Y4WSKR/cdzYbyUDKVLq2454RvsVCO8uugWiWhYm1QyIvUn7oK9J/sf3XM8rrr31vx81QzrDLBmglzI30K/HXL5rPr5RMMJ1OYGSMpx0mHeyZ8i4VylF8H1Zq2t9i0BbU8IKwvC5HaqKtA/+2bwyWXoxhPqeLenQezI2syY8UzwsHa0JDg5hUtLHvnBQyeHsqWWU69Ocymp3qB9LS/p4J2V3rCUVip0C/2+ELrC7WhlgeENTujSO3UVaBPn9ZQcjmKSsPq3p0H+eqDewH4xYuvAeSEeiZYH9jdjwPL3nlBTu08E7phW375G65ZOm/MYzOvt/7hfYyknOnTSgdeoZJQqRJKofXFvhhqddEOXeFJpHbqKtCXzj+fw4Nv5ixXKspEWuFwe3Tf0Zz77991cEwvHdIHWTNnfWbKK5nAylwLNRnMLJby3DHnmcfe/8xBHLITkA0NVx54xQKz3ARb4deo5an+usKTSO3UVaC3zj6v5HIU5UoV+b3Y65bNz/bMAbqPnKSrb7Do3CvuTkPCcPdsYOWMOQ8OjGaCLPzYfIm8C2GHv2wyj81/D5kvj+ERz7mQdqVBWqsJtzQvjEjt1FWgP51Xushfjio/rDJBefi3b47pxX7x45fxxIFj/NPz6QOy7ozpNYcvjefAmo8u5tSZZLaM0tU3yODpITasWjZm6GL+GaOQPrDakEjP75Ipl4SHRTYmDMzSdfuEseaji5n59mmjIV3gQtqTKUg1O6NIbdRVoGdOKiq2PB5dfYPc8t0OhpMpGhuMxkS6ZBLuxd5+9bv4xYsDRXu3+ZfGO3UmmS2j/KCrH9yz49Pza+L5Z4w2NhifbVvI0uDA6r07D7Lhke7cYZEjjgdLyZSz6aleDJg+LcFNy1tGLwJS4ELa5cbTT4bAF5HxqatAb2pMlFwej/DZp8MjzievuJgPLLwwJ9TK9W7bW5uZPm20nJEZnpjp6QM5NfX8x+efMQpkv2QSCSOV8pxhkQmDFOlfCxmZ53fGd0BTo09E6l9dBfpVrc08238yZ/ls5ZeuZ8+czhc/ftmY7TK928wMjKUC/8ArpzAz8HSP2yCn19/VN8i23f0Y6Um4wj3nB3b3s/M3J7JfMiMpJxF0/xMJw1POSIF6e2b8+03LW7hpeUvOl0N+e/N19Q3y7Z+8kP0VMJ7RJ+rdi0y8ugr0l157o+RyFPnBc9PyFn7QeYjhEWdakSl5M4+ZNaNpzJDE/HJGZgKxkaCo7u78l1Xvy9bOgZy5zrfuOsTXVy1jybyZ3PLdjoJlpExP3FNOsSLT+1suYNmCC8a0pVyvO7xNpmRU6Zj4iejd6wtEZKy6CvT9R06WXC6nWPCUmpI3c7GJ4ZF0TznlxcsnmZ5uOJRHUukae6bX/9UH9+ZcuGIkmAv9X354YbY8k8/z/s3XmID9r5xi7+GTbNvdn31f+Vc+KjSZWXibhMFHLpvNl3//3ZG+EEodTK5lyKo8JFJYXQX6WyOposvlemzhsM0E3KYnX2LuzOnZ0SO7Xj4BkDMSZdvu/mwAjwShZ4CZMWtGU87zF+phG/Dg7n6ePHCMC2c08bMDx8a0bSTlvHbqDIlE+guglMzB12kNxseXzGX2zOkYcN8zB8cEantrM40NiWzv+/udh7Ilnoz84YyZMIfcsB8aTvHtn7xQMOwbGxI5B5NnzWgqW+Y5Gzo5SaSwugr0C982jddODeUsQ/keW+b+t4ZH09IhOxQx463hFP/54X24O43BafyvnTqTs40HteyRlLPhkW6WzJsJwIYfdhcsl6SAnoE3cq6Fms+Bn/36VaJcDTCzyRc+sphrls7LloIyY8+B7BfNikWzuPrdc7LvcyTvIhqZbTL1/1kzmrJntYYnCRsaTpEC/l/Pa+x6+UR2+0yojoyk+MR7L+bN4RGWzj+/aFmqWnRykkhhdRXov//ei+kZ6M0uZ2rG5XpsHb3HOTMcbYhjpvY9lExx786D4aHcQDpQM9u8NZzim4/u57nDJ3O+LMZjJBV9OmBIj8G/+1cvjxkJM+Kwfvs+njhwDAN+nveLIP9XReZXTXtrc8GrOn1meQvdh0+y9/DJnP2bP4fNzw8cI5lynn7p+JgzZasd6JNpTL3IZFJXgd6bdxD04T1HWLm4uWyPrb21mYbQqfeVKNdrfubls7/eKFQW5pD+wgmPhAlLjviYXx+QDvs7t+/L/qoIB/hnlrfkfClmTmQaHvF0iSlhmDsNDaP79zPLW7IloK1ByQfGnil7tgqV08ZzcpIOpErc1VWg/+KFgZxlB9Y/vI/7/81VJXts4ZN3sqNPzlWja+TXr5wa1+OGRpwNP+xm2YILcurj3YdP5tTBj506kz124ACpdLDjzoFXTo25eEe4t371u+cwd+b0MfX68ajWAdCoI34U+FLPzv7MnHPozUI16tBEV8WuWN/VN8i+IydZfsmF6THdMXA2X0jP9p/MlpMSpOv8z/WfZMThE++9mPU3LOXY628VfM2RlHP/roOcGR7tzQ+eHuKeNe2sXnkJuPPT/a+ybXd/9nH37jzI5/5+J/fuPFiwPZmx/V19g2OWH9jdn/Na+TNXRlVs3vdwG27b0sG3Hj/AbVs6sm2ZCvL3f1xfcyqoqx56gzHmpJqm0Mk6xSbcCo/7zkgYvG/BBUxvTLDr5cG677FXKh3OcP7bGnn9rWQ2rB9//lUeL1CuybCE0X309ez+akhY9mCqk56KIByaB145VXL64fyec/jSfY0NCUZGRqc8yJR7xtOTzi/L5Y/EqXTkTKk21FNPf6LOIdCvpdqor0BPGCN5wbz+hqXA6Kny0xoT3PevRz8gHb3Hx4R5xlWtzVyzdB5fuX8PfSdO17bxk9TrbyUr2v78tzVy4o3RC4tMb0zwFw/tJRXMBZZg9Gffs4d+y6t5Pf27f9mbE+g5QyOTKTY/9VJOsIb/y32w5QK27e7nB139JEdGvwC6j5zEgZsKlHjCwRAezZM/Eqdc4Oc/Z7FACp+3MK3BuG/tVZN6/pxaDwEt9P7KvabOMxi/SIFuZtcC3wEagC3u/o28+y24/3rgNPAn7r67ym0tGMzdR07SfeRk9gDhUDI98uTqJXNpb23OXh0oX8ph01O92SsJSTThMAc4dWYke9sdsktOwZ5+z8AbLPnaDjAjmB0hO1NlyuHl48W/WHe9PJhzEPqt4RRfe3BvNvTvf+YgX7/xfSyZN5Ntu/vpefUUnX2DpDw9bv9jS+Yyd+Z0njxwLDsq6a3hFBt+2M36P1zKPWvauevJl+g++jp/8dBe3NNnzd68oiXny+KuJ1/KPj5cvunoPc6eQ7/Nfk6HRpxtBU7myshczCQzpXKxC4kXmioiX35wRv2iKDWgIMq5HeXuj3LN3LP9tVRvavklbl5mGIeZNQAvANcA/cAu4BZ3fz60zfXAl0gH+pXAd9z9ylLP29bW5p2dnRU19tJ1PxqzbtFFM7hwxrScOV5kasscF6hEU4Pxpx9ZXPQL3oBrrriY1tnnjdnmxg++kx93v5I9gSv8v9Rlc9/BysUXjfn10NU3yB/d9XR25FVmyuRCFxIPlwyb8n6BZp6rWNkqSg+3UMBEPbej1GtsfKKHbz1+gJSny6Vf+eSS7BnTpabTgPQIrEzgx6mHXo1fH2bW5e5the6LclB0JdDj7r3uPgRsBVblbbMK+EdP6wAuNLP5FbVynPpOnGbvYYW5jBrPGQFDI86Pu18per+T/sVxV4HAf2jPEd4azlzgJPe+nmO/496dB7ll89M5BwA7eo/nDDc1Sx/gzz9o29F7PHvCGBQ+oJvfo31039GSB4DzFRpQUO4gcrn7YbT332CM6f1nXnPw9FDB3vg9a9r5yieXxCrMIdp+OxtRAn0BcCi03B+sq3QbzGytmXWaWefAwED+3eOW8tFpZWMyiEUmwLVL55XdptjvWcu7fWnzjJz7h0c853/ezJTLCaAxYaz9560Fw6+9tZlpDaPPXuw8i/Bjr1s2v2iQRlUqjKPcD0QK5mLPU2rUWj2Lst/ORpSSy2eBT7n7mmD5c8BKd/9SaJsfAX/p7r8Mln8K/Ed37yr2vOMpubSu+9GY3ldTY3okxLRQDfLFV0/x0J4jFT23xN+HL53Fuy+eyRtnkmM+Hzd+8J18e/WH+MaO/dz1VC8ONBSYWydTmvnJr4/Rc+x3OY9/5LmjpFJO07T0Z/HO0HQQTQUOkEate9eyhl7K2dbQq/U6cXO277dUySVKoF8F3OnunwqW/xzA3f8ytM1dwM/d/b5g+QDwMXc/WuApgfEFOuSG+rY/+2dA4Wtr3rvzIBufeJGBU2cYcS876ZVMHANmvq2RxoRx2dx38M4L356try68aAYOnDw9xJlkisWzz2Pfkdd5cyjJggvfzgUzmpg7czpvnEnS0XucSy6awY0famHfkZPp553eSPfR17lu2fwxwyW/+eh+Dp44zY0fXMC669+bc194bvv7dx1kemOCyy6emVMLv3fnwewsnbdeeUnBUH1gd3/RETgi43G2gd5I+qDoJ4DDpA+K3uru3aFt/gC4g9GDon/j7itLPe94A11EZCorFehlhy26e9LM7gAeIz1s8W537zaz24P7NwE7SId5D+lhi/+qWo0XEZFoIo1Dd/cdpEM7vG5T6LYDX6xu00REpBJ1NZeLiIgUp0AXEYkJBbqISEwo0EVEYqLssMWavbDZANA3zofPBl6rYnPqmfbFKO2LUdoXo+K2Lxa5+5xCd0xYoJ8NM+ssNg5zqtG+GKV9MUr7YtRU2hcquYiIxIQCXUQkJuo10DdPdAMmEe2LUdoXo7QvRk2ZfVGXNXQRERmrXnvoIiKSR4EuIhITdRfoZnatmR0wsx4zWzfR7akFM3vZzPaa2R4z6wzWXWRm/2RmLwb/zgpt/+fB/jhgZp8KrV8RPE+Pmf1NcDHvSc3M7jazY2a2L7Suau/dzKab2f3B+p1mduk5fYMVKLIv7jSzw8FnY09wPd/MfbHcF2a20MyeMLP9ZtZtZv8+WD8lPxcluXvd/JGevvcloBVoAp4FrpjodtXgfb4MzM5b91fAuuD2OuCbwe0rgv0wHVgc7J+G4L5ngKtIX0PiUeC6iX5vEd777wHLgX21eO/AvwU2BbdXA/dP9HuucF/cCfyHAtvGdl8A84Hlwe2ZpK/PcMVU/VyU+qu3HnqUC1bH1SrgH4Lb/wDcGFq/1d3PuPtvSM9JvzK4SPf57v60pz+l/xh6zKTl7k8BJ/JWV/O9h5/rB8AnJusvlyL7opjY7gt3P+ruu4Pbp4D9pK9ZPCU/F6XUW6BHuhh1DDjwuJl1mdnaYN3FHlzSL/h3brC+2D5ZENzOX1+Pqvnes49x9yRwEqjulXpr7w4zey4oyWTKDFNiXwSlkA8BO9HnYox6C/RC35hxHHf5EXdfDlwHfNHMfq/EtsX2yVTYV+N57/W+X/4X8C7gg8BR4FvB+tjvCzN7B7AN+LK7v15q0wLrYrUviqm3QO8HFoaWW4AjRbatW+5+JPj3GPAg6VLTq8FPRoJ/jwWbF9sn/cHt/PX1qJrvPfuY4Hq5FxC9rDHh3P1Vdx9x9xTwXdKfDYj5vjCzaaTD/B53fyBYrc9FnnoL9F3A5Wa22MyaSB+82D7BbaoqMzvPzGZmbgOfBPaRfp9/HGz2x8DDwe3twOrgKP1i4HLgmeAn6Ckzaw9qgZ8PPabeVPO9h5/rZuBnQT21LmQCLPBp0p8NiPG+CNr998B+d//vobv0ucg30UdlK/0jfTHqF0gfuf7aRLenBu+vlfQR+meB7sx7JF3P+ynwYvDvRaHHfC3YHwcIjWQB2kj/D/8S8LcEZwZP5j/gPtKlhGHSvaYvVPO9A28Dvk/6QNkzQOtEv+cK98X/BfYCz5EOoflx3xfAR0mXP54D9gR/10/Vz0WpP536LyISE/VWchERkSIU6CIiMaFAFxGJCQW6iEhMKNBFRGJCgS4iEhMKdBGRmPj/gDeCp56Dp4wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#What is our distribution of tract populations by area?\n",
    "plt.plot(tractPop, tractArea, marker='.',linestyle=\"none\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "f159bf55-a25e-45c0-b7ea-4c21fbce9bb0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'shapely.geometry.polygon.Polygon'> <class 'shapely.geometry.polygon.Polygon'>\n"
     ]
    }
   ],
   "source": [
    "print( type(tractGeom[0]),type(tractGeom[1]) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "5e8f8f92-a336-43e5-8ac5-20c657cb5857",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "339 3336 0.00010229985600002488 nonPolygon tract no, pop, area\n",
      "2176 3930 0.05293367586549992 nonPolygon tract no, pop, area\n",
      "2574 5536 0.0002741033284999768 nonPolygon tract no, pop, area\n",
      "2575 6004 0.00032154478349998174 nonPolygon tract no, pop, area\n"
     ]
    }
   ],
   "source": [
    "#identifying multiPolygons in the Census tract list\n",
    "notPoly = [0]*nTracts\n",
    "for m in range(nTracts):\n",
    "    if type(tractGeom[m]) != type(tractGeom[1]):\n",
    "        notPoly[m] = 1\n",
    "        print(m,tractPop[m], tractArea[m], \"nonPolygon tract no, pop, area\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "d57301ff-71ff-413d-afa8-be9a1786a544",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For potential later issues, identify and visualize low-population tracts.  See Ohio code for more code\n",
    "for m in range(nTracts):\n",
    "    x = tractGeom[m].centroid.x\n",
    "    y = tractGeom[m].centroid.y\n",
    "    \n",
    "    if(notPoly[m] == 0) :\n",
    "        indent = \"indent\"\n",
    "        #x2,y2 = tractGeom[m].exterior.xy  #turn these two on to show state map\n",
    "        #plt.plot(x2,y2,c=\"purple\")\n",
    "    if(tractPop[m] < 400):\n",
    "        print( m,tractPop[m],\"(\",x,\",\",y,\")\" )\n",
    "        plt.text(x+0.03, y+0.03,m, fontsize=9)\n",
    "        plt.scatter(x,y)\n",
    "    else:\n",
    "        indent = \"indent\"\n",
    "        # plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "91b2ef65-c81c-4a4e-b993-f37ef06e6a12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bWwBsbW25f/8+d+/e5cyZM/Tv35+dO3eyatUqLly48GY7+gLkJ/rLSQhhm/XeDJ2huAj8BXTNWq0r8Gcem98AagkhzIUQAggA3p1vR0FBQeE1Ymdnp5eTSkhIwN7eHnt7ewoXLkyVKlVQqVT4+/tz5syZN9zT/JOfkYorECqEOA0cQ+dT2QRMARoJISKARlnLCCEKCyG2AGT5XtYBJ4AzWcdbWOBnoaCgoPAO4ufnx5YtWwDYsmULfn5+mJiY4OHhwc2bNwE4fvw4pUqVepPdfCFEdrTB24S3t7cMDw9/091QUFBQeCl69erFwYMHUavVVKpUieXLl9O6dWvOnz+Pm5sbzZs3Z9y4cdy/f58uXbqQmJiIp6cn8+bNw8DAgFOnTtG/f380Gg0NGjTQR5E9CyHEcSml979wes/uh2JUFBQUFN593haj8p8QlFRQUMgfJ0+exMfHB19fXxo0aEBUVBRSSvr160e9evX48MMPiY+Pz7FN165dadiwoX559OjRFC9ePEebgkI2ilFRUHiPcHV1Zdu2bezdu5dBgwYxZswYtm/fzqNHj9i3bx/t27dn6tSp+vXPnDnDw4cPc+yjd+/ehIaG/ss9V3hXUIyKgsJ7hIuLC1ZWVgCoVCqMjIzyzJXIZvz48YwYMSLHPlxdXTEwUG4dCnmjXBkKCu8hKSkpjBw5ksGDBxMfH4+dnU4P1tbWVj/9FRYWRpkyZShUqNCb7KrCO8Z/RvpeQUEhf2g0GoKDgxk+fDgVKlTA3t5eP8WVkJCgNzBTpkxh9erVuaa//ktsjtrMnBNziE2JxcXChf7V+9PCo8Wb7tY7jTJSUVB4j9BqtXTq1ImgoCCCgoKAvHMlkpKSiI2NpUOHDnTt2pVTp04xadKkN9jzgmdz1GbGHhxLTEoMEklMSgxjD45lc9TmN921dxolpFhB4T1i3bp1dOvWDW9vXeRp5cqVmTNnDv369eP06dNYW1uzfPlyHBwc9Ntcu3aNnj17smvXLgDmz5/P6tWruXDhAtWqVePHH3+kZMmSb+R8XoXG6xoTkxKTq93VwpUdbd8tEUd4e0KKFaOioKDwXuK5zBNJ7vufQHC66+k30KNX420xKsr0l4KCwnuJi4XLC7Ur5A/FqCgoKLyX9K/eH1PDnNXNb8y4wZHPjuhlUZ6WGDpz5kx8fX3x8fGhS5cuaDQaADp37oy/vz/e3t7MmjXr3z2htwTFqCgoKLyXtPBowdg6Y3G1cEUgcLVwZe4Pc5kzY45+naclhvbt25e9e/dy4MABAH0hrcWLFxMWFsbhw4f5/vvvSUpK+vdP7A2jhBQrKCi8t7TwaJErhHhpxFL9+ycTQ//3v/8BusRR0I1ktFqtXkU4uz0tLY1ixYphbm7+uk/hrUMZqSgovIUkbNxIRIMALpSvQESDABI2bnzTXXoveVpiKMCkSZMoU6YM8fHxFC1aVN/erl07PDw8qFu3LoaGhv96n980ilFRUHjLSNi4kZjR35ARHQ1SkhEdTczob/JtWJo0aYKTk9NL+QVSU1Np1KgRdevWpVatWmzduvW1nee7wNMSQwFGjhzJ5cuXKVGiBEuXLtW3r127lmvXrrF582bOnz//L/f4zaMYFQWFt4y7s2Yj09JytMm0NO7Omp2v7RcvXsy0adP0yy/iFzAyMmLRokXs37+fTZs2MWDAgAI5p3eVvBJDQTe9BSCEwMbGBnNzc6SUpKenA2BqaoqZmRlmZmZvpuNvEMWnoqDwlpERkzsh71ntT1KkSJEcyy/iFzA2Nsbd3R3Q3RjfN+HIx4trhYeHs379ejZt2kS9evX0iaEAX3/9NefOndN/b+PGjSMjI4PGjRsDoFarCQ4OpkSJEgXavyZNmnDixAn69+/PqFGjkFLy5ZdfcurUKYBSQgh7KWW8EGIgEAQYApFADymlBkAIYQycB5ZJKZ9f/esFUYyKgsJbhpGrq27qK4/2l+F5foGlS5dSunTpHH4BgP79+zNkyJCXOua7yqJFi3K1LViwIF9toDPgr5PFixeza9cubt26BeQchQohHgBDgGHAfCnlTAAhxHKgMZCtP/MZcPF19fH9egxRUHgHcP5qAMI0Z/6EMDXF+asBL7W/l/ELTJgwATs7Oz755JOXOqbC6+FZo1DgIeALIKVMBxBCCHT3+StZy5ZAM2D96+rjc42KEMJUCHFUCPG3EOKcEGJcVru9EGKnECIi669dHtuWFUKceuyVKIQY8BrOQ0HhP4NNYCCuE8ZjVLgwCIFR4cK4ThiPTWDgS+3vRfwCoNP2ioiIyOGXUXg7eXwUCmQC9tkLQoiRwOWstptZzYOB2ZCHPk0BkZ/pLzXQQEqZnDUXt18IsRVoDYRIKacIIYahG3INfXxDKeUloCqAEMIQuA1sKMD+Kyj8J7EJDHxpI/IqfoG7d+/Sv39/ateuTf369QEICQl5b0JjL1++TMWKFQkNDeXGjRssXLgQgDt37lChQgV+//134uPj6dKlCwkJCVStWpW5c+cihKBz587cvHmT5ORkOnbsyFdfffXa+/v4KBSd/+RB9oKUcpIQ4ltgPtBNCLEOqCalHCOE6PbaOiWlzPcLMAdOADWBS4BrVrsrcOk52zYGDuTnOF5eXlJBQUHh36ZTp04yICBA7tu3L0f7F198IX/99VcppZRDhw6Vy5cvl1JK+cknn8itW7dKKaVUq9VSSik1Go0sVaqUTExMfC19/Pnnn+WECROklFJu2bJF9urVS0opJRAFTNG9xVT+c+/9FugGNAQOAduAM+hGMYHyBWxAfl75ctRnjTKOA6WABVLKI0KIQlLKmCzDFCOEcH7ObjoAvz7jGJ8CnwIUK1YsP91SUFB4T7l8JJZDf0aSHK/G0t6E2i1LUqbmqwlBHj16FBcXl1yjMo1Gw9atW5kxYwag82MMHaqblMkuv9y0adN/JZv+WaNQdNNc2XOWM4QQFfnHnzJG6qK/dgFkjVSKSCkLPKs2X456KWWmlLIqUASoIYSo9CIHEUKogI+Atc84xkIppbeU0tvJyelFdq+goPAecflILKErL5IcrwYgOV5N6MqLXD4S+0r7nThxIsOGDcvVvnXrVnx9ffU5Jw8ePMDW1hbQRdPdv39fv+7LZtPnN2G1fPnyODg4UKhQIaytrcnMzGTBggXZfTMEfhdCpAL/k1L6Syl9pZTdswyKHinlUvkawonhBaO/pJQPgTCgKXBHCOEKkPX37jM2bQackFLeebluKigoKOg49GckGenaHG0Z6VoO/Rn50vvcvHkz3t7eOYqTZbNixQo6deqkX7azsyMhIQHQRdPZ2+t94y+dTf8qCauP/b2EbkYoUkp5Jt8HL2DyE/3lJISwzXpvhm5e7iLwF9A1a7WuwJ/P2M3/8YypLwUFBQXI3xN7cryakNNrmfXnAGb+8SXLd08hMzOD5Hg1cXFxBAcH06BBA30iYn44deoUYWFhNG3alJ07dzJo0CCuX79OYmIix48fJyAgQL9uXtF08hWz6Z+XsLp3717g6UKWj/ExsDrfB34N5Gek4gqECiFOA8eAnVLKTcAUoJEQIgJolLWMEKKwEGJL9sZCCPOsz19bXLSCwruIIhqZm/w8sVvam+BXMYivWs5mYNBcAC7cCsfS3oQBAwbwzTffsHv3bv1TfH4YOXIku3fvZtu2bTRq1Ijp06dTvHhx1q1bR1BQUA5lgSFDhrBy5Urq1auHsbExjRs31mfT+/v74+PjQ5s2bV4pm/5lhCyz6AiseukDFwDPNSpSytNSympSSk8pZSUp5fis9vtSygApZemsv/FZ7dFSyuaPbf9ISukgpUx4faeh8DZx+fJljI2N2b9/P5GRkXh5eWFpacn+/fv168THx/Phhx9Sr149+vXrlx2lwujRoylevDgNGzZ8U93X87LnkR9RxlcVjfyvkp8n9totS2JqZgJkR69qcXEsQo0P3Tl79iwzZszAz8+P77///qX6sHTpUurWrQtA9+7dmTFjRo5rYfv27aSkpGBoaMju3btp164dxsbGrF+/HktLS4yMjIiMjNRf06Bz9pcuXVo/AnseL5OwCpgCqVLKqJc68QJCyahXKHAmTJigT7BzdXVl586dtG3bNsc6U6dOJTg4mH379pGSksL27dsB6N27N6Ghof96n/PiZc8jP6KMryoa+b6Q1xN7mZou1O9Yjt0XVjN+dVfU2hSCetbFtoQBZ86coX///uzcuZNVq1Zx4cKFAunH49fCxx9/TFhYGGFhYdSvX5927doBOa+F21FX6P9RY2Z0CGRhn08YN/hrypUrl+/jvWjCahYOwMpXPtlXRDEqCgVKdlhm9hOnubl5DkdmNk+bM3Z1dX0rRAxf5TzyI8r4qqKR7wtPe2IvU9OF3/cs5M7Dm9RtWp0D57Zhb29P4cKFqVKlCiqVCn9/f86ceXV/9ZPXQjbZocYtW7YE/rkWLuwLxS75AeeuXAUpiYuJYcPa36hVqfxTj9GrVy+mTZvG0qVLCQoKokmTJhgbG1OvXj1WrlzJ4MGDAV3Cqr+/P76+vsTGxtKxY0eA7FGRHfDbK5/wK/Lm/3sV/lM8LSzzSZ4Vlvk2UFDn8TRRxqeJQ76saOR/lRd5YjcxMcHDw4ObN3WKJMePH8/Lkf3CvGio8b7Vy1EZwKN0XRRv2KUo6pYqTsTRg089xqJFiyhSpAgJCQl4e3tjYGDA/PnzqVq1KomJiXTt2pX4+HgWLFjARx99BMClS5fo0aMHGo0GncQXGmCTECJMCDHvlU/8JVGMikKB8aywzCd5Vljmm6agzuNZoowFLRr5rnHy5El8fHzw9fWlQYMGREVFERYWhrm5OX369GHSpEn4+/vTpEkTzp07h42NDX369OHq1atoNJqnPrHPmTOHTp06UadOHby8vKhevfor9fNlQo2T7seRpsnAXGVMUpqa2w8TKOPiRFpy8jOP9aphxVm0y8pP6ffyZ/1qKNL3CgVGdljmwYMHOXPmDBcvXmTNmjUUL14817rZT6Aff/wxW7ZsoXXr1m+gx3lTEOeRLcq4bNmyPI+Rret1d9ZsMmJiMHJ1xfmrAS+t9/Wu4erqyrZt27CysmLLli2MGTOGHj168PHHH/PTTz/lWDc0NFQfSuvXLpgKcxaR3LYXbh2NGe7hShuXfwx51apV2bNnT4H182nXgp2dHcePH2f16n+id7OvBSsHRy4c+5vKbi7EJCSRok5n0d6jJKVrOLF8OVWqVCEwj9/5VergZCGB1UKIdGCilHJ3gX0RL0JB674UxEvR/nr36dq1q9y3b59MSEiQAQEB0tXVVXp7e8tvvvlGSillXFycbN68uaxbt67s3bu3zMzMlFJKOW/ePOnj4yPt7e1lQECAvHLlyps8jZc6jzt37kgDAwPp4+Mj/fz8pJ+fn8zIyHij5/E2s3PnTtmtWzcZGhoqixQpIuvWrSv79u0rHz16lGO9tdFx0qJhc+mwdIMstPukLLT7pHQPOyXXxdz/V/qZfS1IKeXixYvlwIEDc3yefS1U96ws65bxkFPbNZfT27eQ09u3kLM7tZaThg/Ra3Y9jcd1vXr16iVDQ0OllFJqtVpZtmxZ/XoTJ06UpUqVks2aNZMpKSlSSimBU7o/FEWXCGkl38D9+40bkLxeilFRUHh9nDhxQtapU0fWq1dP1q9fX0ZGRsrQ0FDp4uKiN4Lh4eFSSimPHTsma9asKX19fWWzZs0KXCQxOTlZ1qhRQ547d04mJibK1NRUKaWUI0aMkOPHj9evN3HiRGlSpJhU1fCRzlsO6o1Kod0npdeBs889TuPGjaWjo6P+hn3lyhVZvXp1aWFhkUM88v79+7JFixZ6w6bVauWjR49kw4YNpY+Pj6xZs6bcsmXLc493fu9u+WPvbnJ68Ifyx97d5Pm9u/P1fTxuVIYOHSo3bNggpZTywYMHslatWjnW1Wq1snfv3nLBggVSSimBcJl9Y9c57KvJN3D/VnwqCgrvGdlTT3v37mXQoEGMGTMGgBYtWuhDZb28vACYMmUK3333HXv27KFGjRqsWLGiwPqh0WgIDg5m+PDhVKhQASsrK0yz/EwdO3YkPDxcv+7IkSOxXfYHhq5upG7PmctzW51D1ipPnvRXvEqIeN9+PTlwoB4hu0tx4EA9YmJzi4mUr1efTxf8zNerN/Lpgp8pX6/+C3038GJBClmGxCCr3QqoDFx/4YMWAIpPRUHhPcPF5R81X5VKhZGR7jawfft26tWrR9WqVZk6dSpmZmZUrFhRH9L74MEDKleuXCB90Gq1dOrUiaCgIIKCggBdoIONjQ0Au3fvpmzZsoDuJmpqakoRUxUXLCwRJjkDHNxMjJ97vCf9Febm5nmqCD9NgTg7RPxhwi4yNHGkqXV9SFNHc/HiSABcXVrm8+zz5lXq4GRkZACUFULsB4yBsTIrIf3fRjEqCv8pmjRpwokTJ+jfvz+jRo3iwYMHBAcHo1arycjI4IcffsDT05MNGzYwYsQIrl69qn/yA/jrr7+YNGkSKpWKzz//XB9V9F8kJSWFkSNH8vPPP1O0aFEiIiIwNTVl5MiRTJ8+ndGjR9OmTRsCAwMZOXIk1tbWevn306dPExISojcEAQEBeHp65vvY69evZ/Pmzdy5c4cVK1ZQuXJlypcvz5IlSzA3N8fR0ZElS5YA/9xEH6WlY2DvjGm3z/X7MTMQDPcouDDs54WID+g/gPbBNjnatNpUoiKnv7JRWbRoUa62BQsW5KstiwtSyrqv1IkCQDEqCv8pFi9ezK5du7h16xYAK1euxMfHhzFjxhAWFsakSZNYs2YNvr6+nDx5kkqV/qnioNVqGTx4MOHh4ZiamuLr60uLFi30N5n/Ek9OPT1Ox44dGT58OACff/4569evx8vLi8mTJzNr1iyaNGnCxo0b0Wh0004JCQlszJKXya9hadu2ba6pJ9ApKjzJ4zfR32PjmRwVw221BjeT3NFfr0p2WLCtrW2eIeLm5mk0bZo7vDhNrSStZqMYlfeUC/tC2bd6OUn347BycKRehy4vNe/7pkk5eZfE7dfIfKjG0NYEuybuOT4vX768fl46Pj4eZ2ddLbm88g7i4uJwcnLCysoKgDJlynD06NEXUrt9F3iRqScpJdn1jZydnbly5QohISF6g5KNRqMhJCTkhUYrL0MbF/s8jcgfJ28zbfsloh+mUtjWjMFNyhJUze2F9/+8EPEvv6yEOv0fAxIRoWb+vDiMjEywt2/ATz/9RIkSJfjyyy85deoUNjY2LF++HHt7e2bOnMkff/xBZmYmJUuWZPHixRgbG+Pv749arcbExITKlSszb94by1ssEESWg+etwtvbWz7upFMoWC7sC2XHwvlkpKv1bUYqExp/2vedMiwpJ+/ycH0EUvNPbQ1hbMAmo+PcM0xk1KhRPHz4kBYtWpCQkMDDhw/Zv3+/fn4coFSpUly5cgXQ3UDLly9PSEgIVlZWVKtWjUmTJtGhQ4d/+9ReK+vWraNbt254e3sDPHXqydbWlj179jB06FC93MyKFSv0ddvzYuzYsU/97MmpycjISNq3b8+lS5fYtm2bXsTxRWvA/3HyNsPXnyFVk6k/lpmxIZNbV9Yblsf9FZUqVWL58uW0bt2a8+fP4+bmRvPmzRk3bhz379+nS5cuJCYm4unpybx584iLi8PV1ZXatWuj1T7k0aOrTJ1WCENDQXx8Bubm5lSvPoWTJ4z59ddf6dixI2vXrmXx4sUsX76c8+fPM2XKFNLT0/U5Jl26dCE4OJgWLVrg7+/PihUrcvl9XhQhxHEppfcr7aQAUEYq7yH7Vi/PYVAAMtLV7Fu9/J0yKonbr+UwKABSoyX1YhxU0f3zTp06lTZt2jBw4EAOHTpEnz592Lx5c577E0KwcOFCOnfujIWFBZUrV6Zw4cKv/Tz+bV5k6snPz4/Dhw/naLOxsdGrCDzZ/iyenJrMjsAaOHBgjvWyI7A6d+5M9+7d2b59O02bNmXx4sWoVCoyMjIoX748PXv2xMrKimnbL+UwKACpmkymbb+kNyp5+St27dqVq83BwSHX9eHs7Exm5j/7j4n9k6jI6aSpYyjsWgyPkoNwdWnJOdUujIyMXjhpUQhBhw4dUKlUjBo1igYNGjzze3zbUUKK30OS7se9UPvbSuZDdZ7t2kcZ+vdSShwdHQHdzeHxuhR54evry+7du1m1ahXJycnUrFmz4Dr8HyEgIABj45wRV8bGxjkKWeVFXhFYLyI2+rQa8NEPU/M83tPaXxXrmNp47JtB2R0/47FvBtYxtfVBD4MHD37hWihr165l//79LFu2jC+++IKkpKTX0u9/C8WovIdYOTi+UPvbiqGtSa62IVun8mP4ar3aa79+/Vi2bBn+/v58/PHHTJ48GYB9+/bRsGFDoqOjadiwIevX62rIDRkyhPr169O6dWsmT56MiUnuY7xP/HHyNj5TdlNi2GZ8puzmj5O38fT0JDAwUD8ysbGxITAwsMD8KS9aA76wbd4VFp/W/ipkT7lmP9BkPlRzb+0F2jYN0gc9vGgtlOyHnqJFi1KlShX9dOy7ijL99R5Sr0OXPH0q9Tp0eYO9enGsm7jn8qlM+2gYtq1LY1HNWd8WEhKSa9t69erlOf2RLdr3spiZmelHN9nTN3k5bQcMGKCfVgoKCsqhgqvRaKhQoQJdu3Zl1KhRr9SfV+FJX8Xth6kMX6+Tkg+q5vnanPLPisBau3Ytjx49wtfXl+DgYCpUqMDgJmXz9KkMblK2wPv25JSrVmrpt2EcARVqExQUxMmTJ/nrr79YtmwZc+fO5aOPPsLX15d+/fpx4sQJ7OzsWL58OTY2Nuzdu5dff/2V9PR0ypYty+zZszlz5gzFixd/a66Bl0EZqbyHlK9Xn8af9sXK0QmEwMrR6Z1z0gNYVHPGtnVp/YjF0NYkl0H5t3Fzc9Nnpffo0eOpSrN9+vTh8OHDHDx4kD///JPIyEj9Pn788cdcBZ0erzz46NEj2rZti7+/P61atdI/FV++fBl/f3/8/f0ZOHAgUuavCuXTeJav4nXyvBrwFy5c4PLly3Tr1o0GDRrgaaPm21aVUO/9idiVQ0j8YwIjAooQVM2NmTNn4uvri4+PD126dNFHrb1sLfsnp1y3XtrL7sjD/H5sC/7+/syfP59Dhw7RunVr7t69y7Rp0/Dy8uLRo0dUrVqVyMhIqlSpQmxsLIsXL2b37t1kZGSwbds2ateuzdixY7G3t8/zGnhneJ6OC7oSlUeBv4FzwLisdntgJxCR9dfuKdvbAuuAi8AFoPbzjqlofyk8jSc1nOLj42WjRo2kr6+vrFOnjvz777+llFKuX79elitXTpqYmOTY/ueff5ZeXl6yVq1auQQBCwILCwvp6+srW7VqJa9evSqHDh0q169fr+9r7dq1c23j4+Mjr169KqWUMikpSTZv3lwuWbJEd45/r5FyZkXZydNYBpS2kPt+HidnzZolJ0+eLKWUcvXq1XLEiBFSSilbtmwpDx06JKWU8vPPP5c7duyQ6enp+n3fu3dPlilTJt/n4j50kyyex8t96KaX+m569uwpK1SoIEuWLClbtmyZp0jnhhO35Aej1kszD29p5V5JNm3XVWZmZsr09HS9Lln16tX1579582bZqVMnuXXrVtm9e3cppZTLli2TQ4cOlVJKqVar9cfv3Lmz3LRJ1/eOHTvKs2efrxn2JNGTj8ibQ/fmekVPPpJr3WyhzOddA1qtVnbs2FFevHhRSpnHNZBPeEz7602+8jP9pQYaSCmThRDGwH4hxFagNRAipZwihBgGDAOG5rH9HGCblLKtEEIF5NZGUFDIJ6+S3Ai6kNezZ89iaWmJv78/Fy5coHz5p1fke1GuXbuGo6Mj27dvp0ePHpQsWfKpTluAX375hZIlS+rDnKdNm8aAAQO4ffs2xJ6BjfM5ei0ZFwuBoUiHA7O5nOhN6166wl81atRgzpw5gG6kkh0mXKNGDUJDQ2nUqNFzq1A+jcK2ZtzOw9n9sr6K50Vg/TPdpsK53VgArhkb8tffMQRV040AnyRbZuZFIq4yMzP1tewjIyMJDg7OM/ItL/KachXGBlg/kR/1uFrB7Nmzn+m4X7p0KaVLl9Y77nNcA+8gz73CsoxgdnUZ46yXBFoC2cUilgFBT24rhLAGfIHFWftKl1I+fOVeK7y3PBlBVL58eRITE4HcyY2mTxTBAihXrhxJSUmkp6eTnp7+1Gx5MzMz/VTS4sWLkVLSr18/6tWrx4cffqi/MQwYMIBatWpRq1YtpkyZone6Tp48mQMHDrBt2za9kOGTTttdu3axbNky/Q3w7t27nDx5kkaNGulWiAoDTSoT96oZVld3cyRTTeXMs2zbtg3QTQ9l96Vy5cps27YNKSXbtm3LZcCeVoXyaQxuUhYzY8Oc38tr8lXAi0+3vWzE1d27d1+6ln1+plyfVCt4Ecd9rmvgHSRfjnohhCFwHCgFLJBSHhFCFJJSxgBIKWOEEHlNZHsA94CfhRBVsvbRX0qZUjDdV3hXKaiMfi8vL7755hsqVaqkT258Fp06daJatWqYmprSvn17XJ9SvjfbN5LNtm3b9L6R5cuXM3XqVKZMmUKfPn2YPXs2Wq2WWrVq0bp1a8qUKUNKSgrly5fn22+/ZcOGDUBOpdkjR44wevRotm7dqi9He/r0ae7du0fTpk25ffs26ug40lOM8C5siIP5P89/PcqnMPBBGvXr16d27dr6XJoZM2bQr18/Zs+eTalSpXLk2DyrCuXTyM7xKIhM9fzwIqHBL3rjHjFiBH379mXp0qX06NFDX8se0Neyz++I1aKa81P9dnmpFfj5+bFhwwaCgoJyqQ2bmprmUBvOdQ2o1U8t6vW2ki+jIqXMBKoKIWyBDUKISs/Z5PH9Vwf6ZRmiOeimyUY/uaIQ4lPgU4BixYrlc/cK7yJPZvQnxd1jx8L5AC9sWF4kuTEpKYmxY8dy6dIlLC0tadmyJUePHqVGjRq51o2NjcXPzw8HBwdmzpz51OmV0qVLA2BgYIBarSYoKAhHR0ciIiIoUaIE06ZNw8rKKpfSbI8ePQD0N54ZM2bQsGFDGjZsCMDSpUu59dtQRFoCIVczOHgzgzN3tVyM07LmEzfmz9d9XwsXLtSP3ooUKcKGDRuQUtKlS5dcEiOxsbE4OTnpM9pXrVqlz46/c+cOFSpU4Pfff9d/B127duX27dscyJqi6ty5M7O33WTiExntBUV+p9te9cb9eC37okWLcvz48QKrPJqXUOacOXPyrTZsbGyc8xq4deudMijwgiHFUsqHQogwoClwRwjhmjVKcQXu5rHJLeCWlPJI1vI6dEYlr30vBBaCTqblRfql8G5RkBn98gWSGw0MDFCpVFhaWmJoaIidnR0PHjzIc92X8Y1UrVpVXz44Li4OR0dHbt68ScOGDQkPD8fZ2Zk2bdoA8NVXX+UINx4zZkzucONH1gS5PGJ3V91US8m5SagzBS1+TSXt11IUL14cT09P/fTaqlWrWLRokV7SpFKlSty9e5f+/ftTu3ZtMjMzcXBwQKvV+QM+/vhjPv74Y0CXTe/r66s/nzNnzuif/LN5WkZ7QZHf0OCXuXHfS0wjzsAOM01NFk3ZTdsvRtKpUyc0Gg0NGjR45Vr22TxNreAF1YYB6NatW4H06V/neZ58wAmwzXpvBuwDPgSmAcOy2ocBU5+y/T6gbNb7scC05x1Tif76bzM9+EN9mdUcr+APn7vtkxFEt2/flg0aNJB+fn6yRo0a+vKre/fulQEBAdLMzEwGBATI33//XUop5dy5c+UHH3wg69SpI7t27ZqvMr8lS5Z8ZhW+nTt3yoCAgFzlb7Np166dPHHihCxZsmSO9qdFLF2+fFlKKWVmZqas5VlaXhlRWsoxNlI9tbyUf6+RGo1GlipV6qWqMD5eWTCb9PR06e7u/k///14j21axlod7WMiA0ha6CLTHSEpKkg0aNHgtJZI3nLgl60wOke5DN8k6k0PkhhO3CmSf5UZtzRHBVm7U1gLZ99sE71D0lyuwLMuvYgD8JqXcJIQ4BPwmhOgB3ADaAQghCgM/SSmbZ23fD1iZFfkVBeR/UlfhP4mVgyNJcffybH8eeUUQvUhyY79+/ejXr98zj5GcnIyZmRmGhoacPn0aR0fHp06v5OUbkVKSlJSEtbU1SUlJ+oS2l5lSM7RyxrDXCnB3J8tVT1pycg6Zkldl69at+Pr66vp/+jfC5nxOGas0ClmqICMVNn6pW9GzPe3atWPPnj188cUX+oz2giSomluB+2zyow2mUHA816hIKU8D1fJovw/kEvuRUkYDzR9bPgW8ceVMhbeHtz2j//z583z22WdYWVkhhODHH3+kcuXKeU6v5OUb8fT0pH79+piZmaHRaPQJba8abgy8lpv6ihUr6NWrl24hZDyjdyZw+LaWqi6GZGolbVfeJ+7nT7Cr/Cs///wzKpUKDw8Ptm7dirm5OZcuXWLEiBF6Y/22ZYP/29pg7zuKTIvCv0623+RtredSo0YNTp48mas9rznws2fP5rmP48eP52rL9v00adKEPn368MEHHzw1Yik73Di7+FU2ecmUvAqJiYkcP36c1atXA5B09ybn7mmxNoFJ+9RExGvxKSoI7WTEqjJtmTZtGhMmTKB06dIsX76cEiVK4OnpSevWrbl8+TIVK1akb9++lC5dml9//ZVdu3ZhZ2fHzz//jK2tLUOGDOHo0aMAOYzR66y4WdD5NgrPRjEqCm+E8vXqv1Ej8qJFnZ6sBZLfyKnsKbhr164xePBg7t+/T2pq6lOn1C5fvkyFChUoV64cO3bsoHPnzsTFxWFra8vChQtxdnbm7NmzepkSR0dH1qxZg5WVFbVr1yY8PBxXV1fGjx+PSqXK0ce0tDTMzc31NdBtbGw4duwYQUFBqNVqPvroI+6eV2NqJKjoZMCnXiq+2p7GEB8TMqyKMHfuXC5evMju3bsJDg6mRIkSnDhxAmdnZ9zc3OjcuTN169bl8OHDuLu74+bmxo4dO1izZg3Tpk1j0qRJObTVso3R6664+bQAAL9abngfPPfaqki+ryhGReG949lCiXkblicz+fOKnMqu23758mWOHz+OpaWlfvvPP/+c69ev4+TkhEqlYu7cuXlOqQ0YMABTU1P9aESr1bJ27VouXrzIBx98QIkSJThz5gxdunRh/vz5jB07lhUrVvDFF1+QkZHBt99+S0pKCnPnziUkJCRXH7MLjp05c4ZRo0ZRuHBhZsyYgUajYdGiRXzZrS1rq17jg//dZ4y/YGQ9E7ZFQcNBY+hido958+Zx6NAh/XmtWLGCjh07cvToUVxcXDhz5gxdu3Zl48aNFC9eHE7/Ro0zo5mzPAoc/4SAb8CzfQ5jdPfu3ddacTOvfBu/Wm78KtJIVesCTW+pNQy6dBNAMSyviCIoqfBauHwklmUjDrDg890sG3GAy0di33SX9LyMUOLTqvJpNBq2bt2Kh4cHGzduJCEhgb1791KrVi3u3bvH6dOnyczMJDY2ltq1ayOEIDg4mCpVqmBgYMCCBQvYt28fmzdvJjIyEhcXF9q2bcvy5ctp3LgxCxcuxMvLizp16ugTMvv27avPuH7w4AHOzs6o1Wo0Gg1OTk4YGRlRr149jh07lqOPLVu21Pd7/PjxjBgxQr9sbGzMuXPn8G7wEYU7zARhAAh6+JcgrUg96vf/gdu3b+dIqMzMzOTPP/+kTZs2TJw4kR49enD//n0++OADihQpQsSpg7DxS7acuEl8qoSEmzqn/+nf9MYIwMnJibi4OG7fvk1iYiL79+9/bt2bFyWomhsHhjXg6pQWHBjWgB2qDFK1OTMXUrWSyVFKrflXRTEqCi/E42q5kZGReHl5YWlpmSOT/eiOC7Tt0IoJP3/Ob/vnkXQ/jdCVF9mwbAc+Pj7UqVNHX0viTVCQjtvsyKkDBw6g0Wi4du0a9vb2WFpaIqUkJCQk37IgEydOzCGBny27AjnlWNq0acOXX35JpUqVOHbsGC1btuT+/fs5poser0OSI7oLXRGsMmXKUKhQoRzHP3XqFGFhYZRrOwIDU2sGna9ETPutzF+9jdDQUNzd3XPkYISEhODt7c2+ffvw9vbm1q1bpKWl8fXXX3P8+HHOXryC59x73E7SUthK6DbSpJK5c5zeGEHOipsdO3b8Vypu3lZrXqhdIf8oRkXhhZgwYYI+nDa7HOyTyV7jxkyiWgl/vmo5h/SMNC7cPEZGupYhIwexYsUKwsLCmDt37lMTD/PN6d9gViUYa6v7e/o3QOd8rlOnDv7+/tSoUYOQkBAePHhA48aN8fPz4/7qoaTfvQqAOiaCmOVfE7tqGA83jNdX3fP396d27dr4+/vTr18/Ll++TM+ePbl+/XoO6fkvvviCoKAgEhISuH//PmvWrOH69evs3bsXKSUJCQn6Gutff/01KpVKLwvyOJs3b8bb2xsHBwd9W48ePUhL08mxZI8SLl++TJUqVfjmm284evQoiYmJlC1bls8//1xvdLRaLZs2bWLq1Kn4+/vz/fff06lTJ/766y9q1qxJq1atdFNTWTRp0gQnJyeklNSvX5+goCDMzMxIS0sjKCiIDz74gICAADZu3MjcuXP1mmorVqygU6dO9O/fn1mzZtGsWTPi4uK4fv06n3zyCY08DLA3E6w7r+H8PS1tfnsEQO9VESQmJtKsWTO9HL2vry+//fYbxsbG7N27l/Hjx7/atfEc3EyMX6hdIf8oRkUh32TPm2dPBT2tHOz5qBNUKl4LgMrFa3Ml5jSazHRS0x5RokQJVCpVjumZl+L0b7qplISbQM6pFUtLS/bu3UtYWBirV69m2LBhejXjPXv2MGTkGJKPrAUg8fBa7Py7UaLrNJr4+7BixQr9IdauXUtYWBjz5s1jwoQJlC2ry+xeuHAh3t7e/PXXX2RkZHDs2DFsbGzYvn07ZmZmqFQqIiIiiI6O5ujRo3z55ZdUr16dtLQ0QBcZll2fPJvsUULTpk3ZuXMngwYNIiYmhvnz5+cYJUyYMAFra2u9475s2bK0b9+ejh078uDBA+7fv8/Ro0eJi4tj9+7d/PXXX0RERFC/fn0GDx7Mhg0bKFasGEOGDKFjx46cOnWKKlWqMG3aNA4fPkxERARly5bls88+49SpU8yaNQsPDw9CQkJYunQpp06d0v/+y5cvJzAwkCtXrvDgwQOOHDmCubk5gYGBNG/enHtqFYYG0KK0MUHlDGlXQXfDTsGcJUuWcODAAQB27NjBkCFDqFSpEjExMWzfvj3PHKOCZLiHK2YGIkebmYFguEfeWnAK+UcxKgr55snpmaeRlpGMmUrnpDZTWZCiTiQlLRFLi38kPZ4sE/vChIwHzRPTVZpUCBmPgYEBRka6GJTExEQ8PT1zqBlXcDCkXmUP3GzNMHYsjp2RhsmtK1PINFOvciyEoEOHDjRo0IDvv/+ev//+m9u3b7NlyxbmzJmDt7c369atIzAwkLCwMAICAnj48CF9+/alU6dO1KpVC3Nzc6ZMmYKrqytjx47l3Llz1KlTBy8vr1yyICNHjmT37t1s27aN+l71GFa1O5ET9lLHwwv/GvW4cOECVatWxcXFhdq1a/PNN98wbdo0oqKi6NevHzVq1CAlJYXRo0ezZcsW0tLSaN26Na1atSIwMJD4+HicnJwoXLgwf//9Ny1btuSzzz6jatWqTJ06lcTERLZs2UJUVBQ//fQTP/30E5mZmflSfs4mLCyMJk2aULx4cSpUqEDY+p8J6eHI1EYmbI/MpGVZIzA2Y8XPCwkMDMwhRz958mRcXFwoX748gwYN4vvvv3/5ayMftHGxZ3rZohQxMUYARUyMmV62qOKkLwCU6C+FfJHX9MzTKOTqhIZUVJiTmp6CuYk1Nla2GJhm6Nd5skzsC5Nw65ntt2/fJjg4mMuXL7NkyZI81Yzd3d053dyRwMBARp1Yg7W1NTNmzOD32HgeDJ7AHTNLnB7GMbBTSy6eO8fYsWPp2bMnZ86cYdu2bUyfPp3U1FT279+Pp6cn1apVIzo6Gjc3N+Li4mjYsKG+5G6FChXw8vJ67hN4ysm7fFeln75ex2/tZyOMDbBtXZr/G9OTn3/+ma+//ppRo0Zx5swZIiMjKVy4MAsWLMDZ2ZmLFy9StmxZ+vXrR9++fRk0aBClSpXK4Qy3srJi//79NGvWTN8fa2trxo8fz6hRo3j48CEtWrSgSpUq+VJ+zmblypUEBwfrKzTi2R6ArXMG4Vs8DTPHYvroryfriGT7nZYtW0b58uVp0KAB9evXL9BaN0/SxsVeMSKvAWWkopAv8pqeuX79ep7rNmnREK3bDSztTTh34yiVy3jRuKsndo7W3LhxA41Gw/79+/NUB843NnlHY2W3u7m5sX//fo4ePUrfvn31asZnz55l7dq19OnTB9CF+q5fv56zZ88SGBhI9/GTGHTpJrFmlkjg5sULaJ1dWBtxTX+IvHwdoAs7vn//PgcOHKBmzZpUrlz5hU/ryRroAFKjZf2cFfnyuQDY29vTtGlTQDd6+Oqrr5g0aRILF+pGCM7OziQkJDBlyhR9kuYff/zBnDlz8Pf3x9PTk1atWum/q969e1O6dGkmTpwIQHR0NE5OTvrlsLAwnJycuHLlCkuWLNEXl9qwYQPlg8fQaultOk3bDF+dJbV0II0aNWLr1q3Y29tjYGDA0qVLsbe3p3DhwgwZMgQ3NzeMjIz0fqfly5cTEBBA/fr1WbVqFZC7jk022X6jevXqsXLlyhf+/hVeHWWkopAvRo4cyciRIwGdemrPnj2xs7OjYcOGnD9/nnPnztG8eXPGjRvHkCFD6NKlC4mJv1K1gSfT5n2FgYEBc+bM4f/+7/+QUtK7d+8cGeQvTMA3Oh/K41NgxmYQ8A1qtRoTE52yr7W1NVZWVk9VM5ZS4uTkpG+fG3YIbaYW+SgFAwtL0i+cQRMTzYThw7CKucnFixdZs2bNC0nPvwgdfuzL2TuX6e7dlv51unLoxkn6/jUOEyMVSSKNbdu2cf36dXbt2oWpqan+2MWKFaNIkSLExcXx8OFDWrZsiZubG40aNdJrifn6+jJz5kyWLFlCdHQ0mzdv1n9PoJOPX7duHcOHD9dPeTk7O3PhwoUcFTSdnZ0ZO3asPmcHdEb8s88+w8zMTN/u6+vLnj17cHNzIyBAp+hkZGTE/PnzKVu2LHFxcZQtW5a2bdvq5egnTJjA+fPn+fbbbylVqhTnzp1j165d7Nq1CyH+8YE8XsfGx8eHdu3aUaJEideaRKmQT960omVeL0WlWCFfZNVvl2NsdH+z1HTDw8NlvXr1pL+/v/Tx8ZG7du16qppxWFiYrFmzpvTz85P169eXTr9tl847jkqj0uWlcaWq0qhcJWkzeop02X1Sdu3aVe7bt0+eO3dO+vn5yQYNGsgBAwZIjUYjpZRy5cqV0s7OThobG8tWrVrpu9mpUydpY2MjjYyMZMWKFeWVK1fkmDFjZLly5fR117MVf1d0myXd7dxkYStnOaP5cPnb/82RHTxb5KiB3rVrV1k/+GNZ+IsB0riKl7Tyqilb9PpcajQa2bFjR3ngwAHZsmVL6efnJ1u1aiX/97//yQkTJsjBgwfLqlWrShMTE1mlShXZt29f+ejRI9mzZ0/p5OQkVSqVtLe3l+PHj9d/V97e3rJmzZpyyZIlskePHnrl5woVKsgOHTpIKaXcvXu3NDIykk5OTtLe3l56eHjIli1bSimlXLx4sbSxscnxs/Xu3Vv6+fnJOnXqSBsbG5meni6llPLkyZPS19dXlixZUvr5+UkppRw7dqz8/PPPZcOGDWVQUJC8efNmrsvAx8dHXr16Vd65c0f6+Pjo27t06SK3b9/+ctfWOwhviUrxG+9AXi/FqCi8KbwOnJWFdp/M9fI6cDZf29+8eTOHvPzZs2dl586dpVarzbHemDFj5C+//JJr+1pVPpAjA3rLr3y6yUqFSsslbSZLVytnWbtqTb0RWBdzX9p0/UwaeZSWxpWqSqu+g6V72Cm55tZdWaVKFfnJJ59IX19fuWDBAillTrn74yERcuHgEDn/sxD5YZ3O8stPB0sppYyLi5NarVY+evRIBgQEyD179kgppfzmm2/kjh07cknmP76cmJgoU1NTpZRSjhgxQo4fPz7HOT0p+Z9N9+7d5ZIlS3K1P77vTz/9VLZt21ZqtVq5ceNGGRwcnGPd5cuXyy5dukgppdRqtbJs2bLy1q1bMiEhQXp4eMhff/01z2MXFCdOnJB16tSR9erVk/Xr15eRkZFSq9XKvn37yrp168oWLVrI+/fvSymlnDFjhqxXr56sU6eO7Ny5s96YNmrUSP9wYWpqKk+fPv1SfXlbjIriU1H4z1HVvwHGdvZYde+D98FzDPh+ob7efPny5fVJd9l07dpVX21vuIcrD7/qSXzfLsR/1ZPEuVNyhZpe2BfKwj6fMKNDIAv7fMKFfaH6z57MvF+3bh0WFhY0btyYVq1acevWLS7sC+X45j8Y0rc3pVwLMaK/Tt1XrVaTSjpF65XF2NyEGkU8wcyAMzuOcfDkYaytrZk+fTqTo2JQBXXAftEa7Kb9gPrgHhJOhjPp+LlnJllePhLLsT9uka4LgqNKEX/CdurUDhwcHBBCYGZmRuvWrTl+/Hi+66VbWVnpo8I6duxIeHj4c3+j/JY3tre3p0mTJgghaNKkSY78nmzRzeySAW8iidLV1ZVt27axd+9eBg0axJgxY9i+fbu+9HT79u31emd9+/Zl7969OUKps/9mh7+XLFnypXxxbxOKT0XhP8XvsfHc7zMM8/DDZN67wy21hj8r1mT66ra0cbF/boXDNi72fGNuiuGQ77hn45BDaPDy5ctUrFCB3gE+uFia8+vRU6So05m/cTuL/vcjNZsHsmHDBkaMGMG9e/cYNWoU0dHRxMfH07dvX4YMGYJnpUq0qFSaD9yc8SvhRkamlp9/W0P5UiUJaNMeW1tbTIpbY2VYBFNNIUzLFcWhlq68dseOHRk+fDi36wZiYGOr67CJKSb1AtBcvsCd8pXzrL0+ffp0rl69ysmd16ntEcjN+1dYGjIJlZEZGZnp/Pq/zfQv24bZs2ezevVq4uPjKVSoEBUqVODevXsULlyYxMREMjIyuHbtGj/99FOO7zwhIQEbGxsAdu/erc/neRrZ5Y2zq2Q+C39/fzZs2EDPnj05fvw4JUuWBPKuYwM6P87u3btJSkqiVatW1KxZ87nHeBVcXFz071UqFUZGRk+tk6NS6SriSPlPKPXjrFq1Sq/N9i6jjFQU/lNMjopB4+icoy1b0yk/GlgAzibGWE8fQ/kJA5madkcfdjphwgRKuTqTqdFwOOoGRe1s6F2/NlXcXBg3Wlc3xNfXl3HjxmFtbQ3onrQbNWrEkCFDOHToECYC9l28goEQCCEwNjKkYmFnNq5Zhb29PQkJCfp+JCQk5HCkZ9+w3UyM0SbrMv+llKSfCseoaHGKWFnoa6+DLsny119/RaPRYGlpyYHTOzh2JYTVe2chpcTNvgQj2v2Eo0kJBgwYwOLFi8nIyKB79+6cOXOGJk2acOjQIa5du8b8+fMZMWIEe/bsoWvXrkybNo2lS5cSFBTEypUr8fb21t/Qs7/Pffv20bBhQ6Kjo2nYsCHr16/XlzeOioqifv36+Pv7k5n5jw5br169cuy7cePGmJmZ4e/vz5AhQ/RP/T169CApKYmgoCD8/f31UWxDhgyhfv36tG7dmsmTJ+f4/l4nKSkpjBw5ksGDBxMfH//UOjmTJk2iTJkyxMfHU7Ro0Rz7WLlypV4A9F1GGan8B7l8JJZDf0aSHK/G0t6E2i1LUqamy/M3/A/wLE2n/GpgrV27Nld9+e3bt7Nq1SpKOzugycxkf8RVTIyMuBH/kEYVSrPvxDl9rZDY2FgePHjAvHnz8Pf3Z968ecTExODn54cBEkdLS67cjaNyEVeklETejeeDEuaYmpoSHR3Nt99+S2ZmJvfv36dIkSJ4e3tjbm6Oo6MjS5YsoWaalq7jh5N+8xpIMK7ihW0dX4Z7uFJyzpwctdezw36XLl3Kxp8P4Fu+JS52xVm+ewrJaQ/ZdOxnOjXrx9L/LWXs2LGsX7+e/fv3M3fuXL78UlfxUaVS0a1bN5KTk9mzZw9LlizJVSCsd+/eOZYTExMZOnQoKpWKSpUqMXz4cKpXr05wcDB169YlIyODuXPn4unpSXh4OH379sXExAQLCwsOHz6MlZUVo0ePxt3dndKlSxMWFpZj/0+rY/O4tP6/hUajITg4mOHDh1OhQgXs7e2fWidn5MiRjBgxgr59+7J06VL993bhwgXMzMzw8PD41/tf0Cgjlf8Yl4/EErryIsnxuqqKyfFqQldefKtUgrPZHLWZxusa47nMk8brGrM5avMr7/NZmk7ZWlXZTJkyhcGDB+daNzv0uGjRolSpUoUrV64wYMAA6tati5GxMeej7+JqY02ZQo5ULVqYzacvkpaZydSpUyldujSZ6TqH5Q9TlxETZsHRw8dIT0/H1NSUTCDqXjz7Ll9jXsgB5oUcxMHSnBqVK+q+k82bcXJyolChQsycOZNBgwYRHh7O3r17Wb9+vU6epev/YXjsIE4+/jgsWE7prr2w/mYAc4Nb0adPH+bNm8fBgwdJTk7W53Js3ryZouXsMVIZcP7GUQQCI0MVpipzDl/7A9CVWv7777/ZuXMnf/31F3v37tV/J+3atcPDw4O6devmq+Lk86RyJk2axKRJk/S/w3fffceePXuoUaOGXiqnd+/ehIaGPuswbxytVkunTp0ICgrSV//08/Njy5YtADlKT2fL9AghsLGxyVEO+pdffinQwmRvkucaFSGEqRDiqBDibyHEOSHEuKx2eyHETiFERNbfPJMOhBDXhBBnhBCnhBDP9+ApvBKH/owkIz1n8lxGupZDf0a+oR7lzeaozYw9OJaYlBgkkpiUGMYeHPtKhiXl5F3WhCZxdHsSAy6lUTpJN61iZiDo72TB8ePH9fkSSUlJxMbG0qFDB7p27cqpU6eYNGkSUkq9nEt2ffnNmzdTvHhxSpQogX3hIiSkqanlUQyNVsvey1HcSUzGvYTuCXNwzwm0r/E1xoYq+rSYysO4ZEyEFYtn/4qVlRVGZuZYm5vRpHIZ+gX48GVDH1p6V9GXUvb29ubAgQMcPHiQ7t275zi/hI0biWgQwLDIKEY4O/PJo3hi6lel55UTtG7gn+tm3adPHw4fPszBgwc5efIkBhYaytVyoX7lNvT/aAYAH5QOIPz48ac667NZu3Yt165dY/PmzZw/f/65v8XzpHIel3+pWLGi/sk+W8ofdE5wA4O3+7l3/fr1bN68mRUrVujFR5s0aYKxsbE+ATP7weXrr7/G398fX19fYmNj9UZESsm6deto3779mzyVAkPoItGesYIu48hCSpkshDAG9gP9gdZAvJRyihBiGGAnpRyax/bXAG8pZVx+O+Xt7S3zE0GikJsFn+9+6md9/tfgX+zJs2m8rjExKblrV7hauLKj7Y4X3l/Kybs8XB+B1GgZsnUqx2+fJS1Tg1GpUkzduJ6ELX9w7tw5ZsyYkWvba9eu0bNnT3bt2oVGo6FWrVr6+vIDBw5k7NixODo6EhUVhVqtxlAI7sXF0btBHe6kpfPXsb8p7u5OxYoVaVTiM9bt+on95zdR3LkcGZkabsZdpkNAX1bsmEWdOnU4dvQoJV2c6FXXO9+llBM2biRm9DfIrKfdDQkPuQOMX7iQcHNztmzZwowZM1i/fj2hoaHMmzcvx/YWFhZotVqa1+hEbY9Azt08yi+h32FvWQhNZjoD2k2m/yyds37NmjXcv38fFxcXTpw4gVarpXHjxqjVas6fP09QUFC+nOxPSuXUrVuXFi1akJCQkFMq5/RpAgMDsbKywtramr179+oN0uO/jcKzEUIcl1J6v/F+PM+o5FhZCHN0RuULYDngL6WMEUK4AmFSylxhH4pR+XdZNuKAfurrcSztTej6rc8b6FHeeC7zRJL72hMITnc9/cL7i5lylMyHuc/b0NYE12E55WCya6mHhoZSvXp1unTpQlxcXI5a6tnz/CkpKajVao4fP06/fv3Yv38/t2/fRqvVYmxsjEql0vs/fv/9d6aPWsTfV/chgZIulahdthnLdn+LoYERRYsXQa1W06NHD37//XdcXFzQarX06tUrh4O2a9euXL9+nfT0dFQqFdHR0WTcuo0dklIqFdc1Gu5mZFBGpWLeBzW4NXoUH330EVqtlszMTMLDw6lUqRKNGzcmPT2dU6dO6ef2VdISv0qt2HXqNxIexVGpWC06+g/G3MSSY2nL9Zn6bdu2ZcqUKWg0Gho1asSpU6fw8PCgS5cuDBgw4IV+m2vXruHv78/HH3+Mo6MjAwcO5NChQ0ycOJHNmzdTp04d5s2bh5eXF5MnT8bIyEj/dK8YlfzzthiVfI0thRCGQohTwF1gp5TyCFBIShkDkPXX+SmbS2CHEOK4EOLTAuizwjOo3bIkRqqcP6uRyoDaLUu+oR7ljYtF3oEDLhYuz62H4uPjw+nTOsMTHh5OrVq1aPX9p3RZO5hkta5mR/yjh3zx5xja/vB5rrK0j9eEyZaxDwsLo0OHDkybNg34Z56/Q4cOaDQaatasyc6dOzE0NCQoKAgHBwe2bduGp6cnXbt2xcjIiBo1ahD9IJLKxeswu+dW+n04jUK2RVAZm9HG/1O6du2Kq6srVapUIT4+nl27dhEaGqo3KKdPn2bw4MEcOXKE27dvM3/+fHbv3o1Go8FUm8lI50LsTEpitmthetrbU9bUlIyYGL744gu6dOlCSkoKHTt21Ielzhk9nGrWJtgbG+JqZ8Ogz3vh49kE34ot+ahmDwRC76xXWemc+T179sTc3FzvrDc2NiYsLIxq1aphbm7OX3/9xe7dutHws3xiavU/Bv5FpXIKuuqjwr9LvoyKlDJTSlkVKALUEEJUes4mj+MjpawONAP6CCF881pJCPGpECJcCBF+7969F9i9wuOUqelC/Y7lsLTXhVJa2ptQv2O5ty76q3/1/pga5pRRNzU0pX/1/i/l5N3QeyFVXcuz/rxu6mxsyDwG1OnGui/+p08yg9w1YS5fvoy3t+7hrkaNGnrHcPY8/8iRI/noo4+YMGECjRo1wsnJibZt23I3Lo7GPT/jYMIj1txN4PfYeLZs2cLDR/c4dXUvkTFnSNeksWTXRCxMrfjr4M8sWrSI3r17M3nyZOLj47G3t8fU1JQJEyZw+vRpxo0bx/z584mPj+fu3bts3bqVPXv2YGNjQ0V7e3YnJ2NjaEj3WzdZ8eABSZmZGLm64ujoiLGxLkAhMzOT9PR0XYLmt+PZcPAoZV0cqeJWiLNhIdg4ZmKkMqCwXQlKuFTkq5ZzMDez4GyirsLk05z1a9euZf/+/SxbtowvvviCtafX5vCJHRp3iKCqQXQe2BnQGSiVSoWtrS0lSpSgd+/e9OvXj+nTp2Nubk7p0qWZPHmy/jds0aIFNjY2DBw4UO9TmT9/Pp06deLkyZM0bNiQyMi3yy+o8BReNAUfGAMMAi4BrlltrsClfGw7Fhj0vPUUmZb3g02Rm2SjtY1k5aWVZaO1jeSmyE251jl58qTs3r273LVrlxw4cKCUUsrff/9d9u3bV0qpkxH5448/ZPKJO7L7B23lj0Hj5bXBobKCcykZXKW59KleWy9XIqWUgYGBMi4uTrZvX18uWFBZftnfUXbo4CajY/6Q5cqVk4aGhnLChAny77//lg4ODtLc3FxaW1vLsmXLytq1a8tx48bJ74+elAb2jlL1QR1pXNVbmrUMlqZVvWWrfgNkoUKFpKmJqfSt8qFsVetzaWFqJY+HXJaff/659PX1lVJK+X//93/S2dlZarVa6e7uLgMDA+XMmTOlhYWFrF27tuzfv780NTWVXbp0ke7u7tLQ0FB+37+/bGVnL82EkDVMzaSLkZE0NzCQzWvWlDt37pQmJibS3NxcWlpayl27dskfe3eThawtpYOFuQSks5WFbFDOQ7ra2criRUpIC1NraaaylBXcveSogROknZ2d9PX1lc2aNZOJiYlSSik/+OADWbJkSenl5SVnzpyp/w7btWsna06tKSstraR/lZ1ZVrr1cJMlO+gkWUJDQ2WPHj1y/Z5xcXEyNTU1l3RLnTp1ZFRUlFSr1bJatWoyPj7+VS6t9xLeFZkWIYSTEMI2670Z0BC4CPwFdM1arSvwZx7bWgghrLLfA42BvAPMFd47Wni0YEfbHZzuepodbXfQwqOF/rPbt29Tt25dvbyJl5cXhw8fplKlSnz55Zd8/fXXwD/12mt2bsA59TWaeQcQ9+gBF+9FMWD4IHYfCtPLlWTXhEnX7Cch4STpmvs0a2ZFamoSzZt9TO3aHnpF388//5zt27eTkpLCsGHDsLOzo2jRooSFhTHk055oEx6Qfuwg2ocPsPqsP9Lahk1rVpOcnIy9gz1lPnDh9L2dGJkYMHB8L1auXMnp06dJTU1l7969JCUl4enpiY2NDZGRkSQkJKDVaqlevTqZmZn6qaKuXbuycuVKBv74I6dMVBS3sKCvszMhPnURKhVHIyPp3r07Bw4c4NatW7i4uNCrVy8mr/mTjrWqUcjGEkMDAQgOR91Eo0nn2s0oZsyeSqHCjti5mTLzf5OpXLkye/bswdPTkxUrViClpFixYsydO5dDhw4xf/58kpKS9BFxieaJOX5LY3vdSCk5PVnftn37durVq0e/fv1ITdWpSedV6EutVpOSklJwVUHz4HWErys8hedZHcATOAmcRmcQvslqdwBCgIisv/ZZ7YWBLVnvPYC/s17ngJH5sXTKSOX9IDrmD7l/f125K6Sk3L+/royO+SPXOlevXpXFixeXw4cPlzNmzJBSSnnw4EHZvHlzKaWUtWvXluHh4VJKKb/99ls5depUmZaWJosUKaLfx8iRI+WsWbOkgYGBrFatmvTyspEqFdLMXEhvbzP5x5/F5a4QD9m5cxHp6Ogo3d3dpa2trTx37px89OiRLF++vDQ0NJQffPCB3LJli3RctVliYCANi7pLw+Ie0qBwEWnoWkQauBSWFStWlEWKFJE9e/aUNWrUkEFBQVJKKW1tbaW9vb2cPXu2NDMzk4C0srKSNjY2slq1arJEiRLS0NBQAlIIIQ0NDWXRokVlyZIlZZ06daSRkZE0NDSUKpVK2traymLFiklbW1sphJDGxsayQYMGcsqUKfKjjz6S3t7e0sXORpoaGUkbMxNZ2MZKVnB1lqZGuv3b2dlJDw8PaWZmJuvVqyeLFSsmAblv3z5ZtmxZaWlpKS0tLaWpqan08fGR1apVk0ZGRtLS0lIaGhpKQ0NDaepsKktNKCXNy5pLkyIm0sDUQBqYG0hzV3OZmJgoExMT5cGDB2WdOnWkm5tbDtVmKXOKTN6+fVuvSiylbvS5atWqgrnIpG5E7P2Ld46Rlfcv3nmOjN9leFdGKlLK01LKalJKTyllJSnl+Kz2+1LKACll6ay/8Vnt0VLK5lnvo6SUVbJeFaWUkwrCECq8+8TE/snFiyNJU0cDkjR1NBcvjiQm9s9XcvLGHDnCjWbNcbkfz946PiRs3Mjx48fZuXMn9evXZ+7cudSoaUTx4iq+/dYVLy8zPu11i8GDognZHcsnn3xCjx49aNmyJS1atKBJkyZotVpatWrFli1b6NatG4mDPgMh0CYlgBCYeNfGtNlHmLvqikxlS63s27cPNzc3nJycSElJ4dGjR4SGhnLp0iUaNmxIamoqarWaVatWsXLlSmxsbKhatSqNGzfGyMgITboGWzNrrl+/jpGREcbGxrRu3ZoqVapQvHhxRo4ciZmZGZ07d+batWvMmDGDkydPMmvWLIYP/AozlTHJag025qbUL1cSZxtr7G1tOHHiBAMHDqRYsWLs3buXChUqIISgS5cuqNVqhg0bRkJCgr7o2PXr13FycmLy5MmMHj2aChUq0H90f+5v0pWDNrY3pviA4hTrWIySxUuyYsUKrKysGDRoECtWrGDTpk3s3r2bBw8e5Hkt5CVP80pVQZ9gzok5pGWm5WhLy0xjzok5BXYMhX9QZFoU3ghRkdPRanPWmNdqU4mKnE60aRG++uorDA0N0Wg0zJ49m/Lly9O5c2eWLFlCamoq3333HaBz8rZv3x5TU1O08fFMzNSSkZnJcGdnvj51kowOHahYuzau1aqRHQASE21Mz172VK5siqOjIfv2pTBtemFWrtCQlpaGtbU1NjY2TJ8+nTZt2tC+fXt69eqFqakp9vb2pN2Lw3H5H9z/cTaZsdEYlSiFevtGTO5EM2XKFFJSUti2bRsxMTHMnz8flUrF/fv3qVmzpl6Wo0qVKoSHhzNz5kzKlStHSkoK1uZWXLt6jebNmnMv+g7BFZrRsXQLrpVPZcySKRw+fJjo6GgcHByYOXMm3bt3p3LlypQoUYLp06fTpEkTIiIi8Pf3R6VS0e7DFhzYt5fEtDQW7TtKekYmRkZGVK1alfLly3P9+nWsrKxITk6mSJEiLFq0iJYtWzJ27Fi+++473N3dsba2ZsmSJQQGBqJSqZg+fTrOzs7UKFyDc2XOceDEAZJvJXNv1T2aNGnCbW7j7OzM3bt39VNa8+fPp2TJkhw7dixXJB6Aqakp5ubm3LhxA1dXV/bv38+YMWMK7FqLTclbTeJp7QqvxgvlqfxbKHkq/31CdpeCPPJUQBDQ4MpL7TO0WWPOmwrSjI0w1WRQNiYet4fJ9I2L47dLF/n666/p2bMn+w+s4MSJdXz2mQ1//pHAwkXxmJoY0KpVYzZuPIqhoSHW1tYUKVKEjIwMLl++TExMDL169cLExIQff/wRrZQYmJiiNTDEsVEzknZuRv3oEcbGxmRmZlK4cGGGDRvGb7/9xoEDB3BxceHatWsYGRmxdOlSPv30UwwNDendu7c+IbNTjSC2nA3FzaoQ5+5e4bf/m0MV13I0WdYDlaM5Hh4erFq1iiNHjjBq1ChOnjyJk5MTVlZWhIeHU6JECfr06UOxYsXo27cvWq0WW1tbkpOTcXZ25vr163z66afMmzcPW1tbXFxcUKlU3Lx5DTc3Iz773IbJ38ZhZ+fEwYMnKVasGJmZmdjY2ODs7ExgYCCzZ89GpVJhbW3N/v37sbS0JDo6mtq1a5OamoqxsTFNmjShVq1aTJ48mWrVquHo6Ejp0qWpWrUqRYoUYdy4cRw8eJA6derQu3dvWrduTXh4OP3790dKSc+ePXOpCbwKBZ1o+7byTuWpKCgUNKYmri/U/jwu7AvllKURaSpjEII0lTFnijqxXmZQQZCjtvvAr+ZiYVGTwYPuExeXSelSlowd15u1a/dibW2NiYkJd+/epVmzZnzyySd06tSJSZMmYWdnh6GhITY2NliYm2NmaIC1kQHOEedo3qQJaWlpuLi40LZtWz777DP69OmDr68vFhYWqFQq5s2bx+nTpxk4cCDVq1dnxIgRHD9+XF/zJCExkfmBYyjjVAKf4tUxMDDgl5N/Ep/ykKNHj+rVgWfOnEl4eDgmJia0a9eOIkWK8Nlnn5GcnMzatWv5+eefsbOz06kgGxuj1Wq5efMmhoaGbNmyheLFi6NWq7l+/TpXr0ZiaprBzVuP+OH7OIyMMrGyekCLFn6o1WqMjY0pWrQo0dHRrF27FiMjI7788kvWrl1Lnz59cHR05PPPP2fv3r20bduWQoUKERISglqtplSpUowfP55Dhw6xcuVKJk+ejLm5Obt27WLlypXcvn1bn6OTLU8TEBDAuHHj9PVtCoJnha8rFDyKUVF4I3iUHISBgVmONgMDMzxKDnqp/e1bvRztEzpRWgMDDhtCeEYGTZs2ZefOnQwaNIiYmBh+XrKZEyce4u//HV98MQVbm+rY29sTFhZGjx49qFatGj/88AMbN27Ezs6OiIgIpk2bRmxsLFu3bqVYsWKUKVOGDRs2cOfOHQ4fPoyrqysJCQm0aNGCUaNGcfr0aebNm6ev6ZGQkMCvv/7KgwcPuHv3LosXL+bkyZNYWVmRmJjImXuXsTQxx8nCHhcrnZ/o4I0TlHcthYGBAV5eXoSGhjJo0CBMTU0xMjLil19+4dixY2zcuJGePXvi7OzMiRMnuHfvHoUKFaJ69eqYmJjojWpcXBwbNmzAwcEBrVZLenoGDx5kok6TGBsLBgxw5PbtdM6fv4SjoyNTpkxh165dqFQqihYtirOzM6ampjg7O3P//n0SExORUmJmZsaZM2fo2bMn/v7+GBsbY25uzp07d2jWrBkuLi7s2bMHLy8vQFci4OTJk7mKmr0OEckWHi0YW2csrhauCASuFq6MrTM2R7ThfxUhRDUhxAEhxF4hxG4hhIfQMU8IsU8IsUkIYf/ENsuEELuy3ptlaTvuF0IcFkI0e+4xlekvhTdFTOyfREVOJ00dg6mJKx4lB+Hq0vL5G+bBjA6B8Ni1XMyiPJ52fpgbWWNgqsU2qAJ95gyhZ8+e2NvrinUZGhri6enJtGnTWLFiBfv27ePcuXPcuHGDjIwMTp48SWhoKF26dKFOnTokJyfz4MEDdu/eTWBgIB9//DF+fn74+vri7+/Ppk2bKFeuHAkJCQQEBODg4MClS5eIiIjgzp072NjY4OTkxMOHD4mL06kWCSGwt7fXCTgeOErUtQjcihkQEZXCR02duPS3CQZmtqjREBUVhVarpU6dOpw6dQopJUZGRqSkpFCoUCFKlCjBnTt3uHv3LhkZGRgYGGBsbMznn39OYmIi0dHR/Pnnn3h7e3PmzBl69+7Nzp3zqOyp4tdfE5k61ZX58+7x4IEWKSEz0wIHBwecnJwwMDDAzc2NI0eOYGRkhLOzM5MmTWLo0KGkp6dz9epVihUrhouLC4GBgaSkpNC0aVO6detGREQExYoVo2nTpkydOjVHUa1SpUpx5UrO6U5FmuXlyGv6SwjhAqRIKZOEEM2B/wNWAu2klD2EEF2AClLKYVnrVwYmotN7bJil9+gmpbwmhHAEDsg85LgeRxmpKLwxXF1aMn68OR2CEwgNbYKrS0vCwsJwdXWlnrcPdTy82NLtJ2KmHGXEZ4MpX768vixwdmGnxo0b4+/vz8J9xxj2+1ZiHiZSzKI8Hzg2w8LYBiEEUm3Iw/URLOg/lbp161KhQgXCwsIICQnh/PnzuLq68tdff1GiRAkWLlyIra0tUkr8/Py4fv065cuXZ//+/bi4uFCnTh26du2qP4fPuvUCIOL4BWYEj6KwvQt2dnZ06NCB33//HR8fH8zMzLCxsaF69eoUKlSIR48eER8fT5kyZXBzc6Nfv36cOXOGXl82IqidBXMWOKNSCSpVh+k/WnLlZgROTk58/fXXWFpa8r///Q8nJyc6duxIfHw8VapUwdbWlt9++w0bGxtKly5Nw4YN6dSpEwYGBixYsIBjx45RunRpPDw8OHjwIABz5syhalVHNOng5GRI5cqmJKdIKlQw4a+/ajFz5kyCg4P16gXJycnY2tpibGzMqFGjaNiwIcePH+fMmTMkJydz/vx5du/era8f4u3tzaFDh0hISCAiIkJfDlnh30NKGSulTMpaTAcyAH9gU1bbRuBxlZNvgG8f214jpbyWtZgG5JRAzwMl+kvhlUjYuJG7s2aTERODkasrzl8NwCYwMN/bL168mF27dnHr1i19W5NaDZhUqTdSo7t+Mx+qSbtwn0Ed+9FjVM5iUNkSLHv/+J3gbt1xtbXG084PI4OcdVWkRkvi9mtYVMspUZd9/L/++ovY2Fh++ukn0tLSKFasGIGBgdy8eRMnJyeSkpK4evUqJ06cQKPRoNFo2PDr73jblueG8U1S0h9x+VYUN6/eoGLlilSoUIGUlBTWrVvHgwcPSE5O5tq1azg4OGBsbExaWhqOjo78/fffVKtWjaioKP76czkxMUkc7ZeIWq1l9ZoESpcxoWJFU9asWcOGDRuws7PD1tYW0CkPwz/1X86cOcPVq1eJi4vj1KlTZGRkMG3aNG7evMlPP/1EeHg4rq6uBAUFsXHjRoKDg1m27BYmJoKJkwpx7lwad2IzeBCfSfPmJ0hLO4qXlxcXL15k69at2Nra0rx5cy5cuMCMGTP49NNPGTFiBP369dOLVwIcPHiQTz/VyfxZWVnpv+vscsgK/z5ZyeeTgE+AAUB2fPdDwD5rHX/gMnDnKbuZAzy3CppiVBRemifl2DOio4kZ/Q1Avg3Lk3PqADtCd3E+/CwVnUsxwv8LzIxNQCuZsWAWP29bRfv27fVVCbMJj7pO+7ZtsDKRmBtZ53msbBXjJw3hort3iLh7F61WZ8Tc3d2JiIhg6tSp2NnZ0blzZ6ysrPD09GTQoEG0bNkSjUbDhYiLWBc1oYprWY7cOs26s1sxMTJhdE2d49rNzY1PPvmE8+fPs3r1av201KeffspHH33E6dOndaOyevX46quv+L//g/oNCvPD9/cRAnr2ciAtVRITk4K7uzsmJibY29vra5OsWbOG8PBwoqKiSE9PZ9KkSfTp04fjx49TrVo1JkyYwJAhQ/Dw8GDKlCncunWLUyEhbPnzL0I3bmR02bKsd3Tk08EtmTZtPtHRKVhbG/G/H0dyJ9aWyMhITpw4wblz5+jcuTMbN27UF58C8PT0pHXr1rrfLMu4x8bG4u3tra/d/qL16xUKnqwprDXAZCnleSFEPGCb9bEN/xiYYUCHxz57fB+jgQdSyp+fezzFp6LwskQ0CCAjOjpXu1HhwpTeHZLv/SxdupRbt24xatQokpKSuDPuCKZGJny3dxEmhioG+HTlQWoCtqbWOI79gPr16+Pt7Y2joyM2NjYEBATwySefsHbtWjw8PJ4pg29e8U4OQwjwx6MUUnx9MSpVio0bN5KWlkbbtm2JiIjg2LFjREVFMXv2bG7evMmZM2c4fPgw5cqVw4uSDPP7jI5rvub47bNUKlSGpPRkrE2sqN+pGTt37iQjI4MLFy7g7u7O/fv3SU5Oxs/Pj23btlGhQgVu3LiBSiVIS3tEqdLGTJ9emNatrlGihAoDQ8HNGxq0WsH163GEhobStWtXMjMzMTAwwNnZmeLFi1O4cGEcHBw4deoUWq2WhQsXMmrUKCpXrszy5cv1BbGmd+nC3KlTuaNO55omHQ+Vimb29px3d6dZ585ERkayc+dOAgICSE1NZc+ePWzatIn09HS8vLy4efOmfmrrxIkTDBkyJJffo1atWkRFRWFtba2X31+yZEmOcsi2trbs27cvz9Di+fPns3r1ai5cuEC1atX48ccfKVny7VLYflt5ik/FAPgVnbr8T1ltzYBWUspPhRAfo1NNmQTsA2IBM6AiMEtKOUkI0ReoAXSV+TAYykhFIU/yU3PkVFQUE+/EohICMwMDZhYujIWBIfdu3mRUcDD37t3DyMgoh0rw87CysiLZ0ZrMh2paVWjElD0/AmBnZoOhrQkRERE4OzsTERGBo6OjPvNbq9Xq63tbN3Hn4foIIjJvE24URbJIwxJT/CrUxXbW7BwGBUBqNKQcPEgxLy/MzMxwc3NDCEHJkiVZv349JUvqssSDgoLw9PREo9Hg6OjIn9tDOHsngsM3T2EkDJn94UgWHF5Ji+oBJLqb6OXtO3TowI0bV/DzU5GcbERs7CEuR/yKWq3m0uVfOHVqBN26RtC8mTUnT6bi/YE5o0cXAqBnj9sIYY+5uTlDhw7VR1KtX7+e8PBw5syZQ2xsLOfOncPOzo558+ZRpEgRKlasSNWqVSlevDg//vgjgwYNYuegwTgIA+4LMBKCWYXdcDE2ZkF0NEuWLGHr1q1s3rwZOzs73N3dWbduHSVKlGDBggWoVKocyYsrVqzIs/ytRqPh8OHDOWqtP1m/HqBevXp5OuL79u1L37598329KDyX1kALoJAQohNwBl2RxQ+FEPuARKBLlt+lKoAQwh34KcugOKOb9joEhOpqNhIgpcx82gEVR71CnuSn5sjiRyl87eTM8mLFqWxqysYEncjgd0mJfPPNN+zevfuFDAropkusm7gjjA04eP04Je2LAZCYmYJ1E3d27dpFZGSk3o8Auqfmx59mLao5E/2BZL/qIskGaSAgWaSx48weNDG5k+AAtEnJBAQEUKpUKaKzRl87T0aiNbMl2qgwf0feYuac+WzdupVTp07h5uaGW7EirOw4E5WhMR72xXikSWPXrYN88tcQhq8dzt3Mu5yX57GyyuTu3Xj+/DOWvXtTKFtO8NOiQVhZCQI//ITRo64hJfj6WbBrVzINAywBuH7NmiJFy/LVV8MpU7kqkddvselcHJtuGWFkbs3Ro0eJjo4mMjKSZs2aYWZmRmBgIKdPn9YLbY4aNYrbt2/TsmVLYh8+4EFmJt+5FsbZyIhp9+4CYPsolcuXL+Pn50dcXBx169YlMDAQY2Nj6tevz+3bt7GxseH+fZ0sS2ZmJn/++Sdt2rTJ8R1euHABMzOzHAZF4R8uX76MsbEx+/fvZ9WqVfqgk/Lly+u/y/j4eD788EO9EGf2wCA7IMXf318fvp0fpJTrpJSWUkr/rFc/KaVWStlHSllPStlCSnn/iW2uSSkbZr2/K6U0lFLWfWwfTzUooIxUFPIgu+aIoaEhoPtnyJ47r1GjBnPm6DSTqgQEkHT4CACJmVrKmBiiNTEhytycGTNmEBkZSXBwcJ5Pqtn06tWLgwcPolar2b17N/b29hw8eBAzE1PczJz5ofE3GNqa8O3BBUT2HsfNmzdxd3fXqwlLKTl37hxRUVH4+/vz6NEjJk+ezOEzh/n5l2VkZmai1Wpp0aIFhQoV4gQw7fo1/ejK3tCQs2lpaAwNuTpqFKdOncLAwIAffl5J3N1YDG1dSbl8EIuK9TF0K42LaTyZmZls2rSJmzdvMvTUXIyNjLkcF8WHKz8l3UCDoZUhjk0duXXzFgPmDyD9ZgwODobUrm1O2bKm3IvLoElTU1q2dCVNDQcPJrNvbwomJgYMG5YdSCA4e7Y+3T+pjF3VxpjcKYX44VNsfTsTH3GEhOvX2X7iChkZGVhYWJCYmEjJkiXZtWsXGzduZO3ataxfv54zZ86wcuVKZs2ahZ21DZXVaoQAW0NDLmdprC1JeEjpypVxcHDg5s2bdO3alR07duDs7ExoaCgLFy7E3d1dr8cVEhKCt7c31tY5fVe//PJLnqMXBR2PP6h9/PHH+sTP3r174+urC8CaOnUqwcHBdO7cme7du7N9+3aaNm2aw2fVsGFDKleu/GZOIh8oRkUhFxMnTuTnn3/Wy8tXrlyZbdu20bBhQ7Zs2aIXc+w4fDgtGjZkzr27WGi1jKhSBYNPunG+e3dW9O9P+fLladCgAfXr16d8+fJ5HmvRokWArurhxo0b0Wg0VKqkqwFnbGxMZmARXD09WcFqAGbNmpVDfFAIQb9+/fQChlFRUQQHB+Pk5ETRokXx9/fn2rVr7Nu3j7Zt2zI79RFfuxXhAyMj5sfdw9HQiCklPHCdMJ5frl9HSknNmjVZecUAdeR5LCs3Iu4vnc6YScWGnNw5D8P79/nkk084cuQIKzau4datW/Tp04f9V/dj6iBJjUwl7Voa2lQtN369gdf4EhTaEsPx46kUd1fp+56WFo2pOpNdu5Jp0fyfKCkA7mlZ98MPfLV0KR22XyItQ4tD077EbZqJNi0JAwtbtl9Nx8fIiJs3b1KlShViYmKws7NDo9Hw8OFDvdCmpaUl8fHxNOn+Cb/Nm0dtICVTSzFjFcLUlCLu7qz7/XeKFSuGj48PJUqUIDMzk6ioKHx8fPD29iYxMZEaNXRlmVesWEGnTp1ydFdKybp16zh06NALX29vK49PAd+4cYOFCxcCcOfOHSpUqMDvv/9OfHw8Xbp0ISEhgapVqzJ37lyEEPj7+6NWqzExMaFy5cp07tw5x4NaNhqNhq1bt+qlesLCwhg6dCgAgYGB7N27l6ZNm+rXX7Vqlb6y59uKMv2lkIPsmiOPy5r06NGDtLQ0/VRI4cKFAV3NkT+2buVycjLtR49mU4vmuHfoQOHChalSpQoqlQp/f/98DdVDQkLQaDQ52jQaDSEh/zj8Lx+Jxfh+UdDmvGxVKpV+rj8xMRFPT0+9FAlAamoq5ubmADiULYtRcHuMChcmUavFyckJ1wnjMaxfn61bt+pHZLFRF0m7cYb72+aSHneDtKsnyEx+QIalC61ateKX33/n8M3bOP+2naAbCXT58WcKDyyMVq3FyN4IEzcThKHAwNSARAMjzp9Po2RJFTEx/5yjqToTp/NJRFxWU636PwmBQg0XF6qpaGxMyuQpRD/UlUg2LVoJY1sXZIaGzIS7RIb8iouLi15PbOfOnTRq1AgAf39/vL296dOnD9u2bePEiRO0+uYbbhcuTKvr17mgTuOBoQFpvb9g2o8/0r59e/z9/TExMWHq1KlUqFBB/90fO3aMPn366J30y5cvJ/CJ6D4hBJcvX85x3bzrPDmyCAsLIywsjPr169OuXTvgn5HFvn37SElJYfv27frt165dS1hYGPPmzWPixIkMGzYs1zG2bt2Kr6+vPiH0wYMH+pBxW1tb/ZRjNitXrtSPcN5WlJGKQg5OnTpFWFgYBw8e5MyZM1y8eJE1a9Ywf/58QOdfyQ4DflJ2/sqVK5iYmODh4cHNmzcpWrQox48f19+on8Xjo4+82i8fiSV05UVEuj1WpqVJsbyG1lCNuZklTZs3xsHBgbp163L58mVdtFGiIVs2beb7778nLS2N7t27YyQN6Nri/xg+YwxWVlZYlyvHz3v3YmRkxJgxYxgwYAC3b98GoELzbtx+qFNRjl0xGCOHomg1aaSc3saqiwbI+k1QeXqR+L+ZRNTxp9Pm9cjoK2SkaTBzN8PY3hjXzq5cnXyVqImRdAu0ZulP97GwMEClEkRcVLO2ozlb9z3io/JGmKdrSTMxxDAerP40ZEd4MoHW1si0NJzUSdw1seZB6BI0D2MwsnLE8cOBeJSvgq3J3zmeZLOpUqUKS5cuzdW+7/Rp/fvLR2I59GckySfUfNFgBrVblsxRdjpbj+t95Mkp4GzyO7IQQtChQwdUKhUNGzbM9aCWzYoVK+jVq5d+2c7OjoSEBGxtbXOVAHhXfFaKUVHIwciRIxk5ciQA3bp1o2fPnqSkpODv759D1gRyys4bGBiwYsUKQJep3alTJzQaDQ0aNKB69erPPa6NjU2ehiU7x+HQn5FkpOvySEzTCmGapouOsrQ3wdPTE4D9+/dz7do1/P39+aiEPy3K+uNRpwIXbkWwffM2fmg3nkEzJrJ+/Xq8vLyYPHkys2bNomvXrpw8eZJx48bpb8SDm5Rl+PozpGoysazShIykOGxcS1C77f9x3NmJtCYtkRkakhfPx3b0d5gFNMNFfQSje4u4uvQqD/Y/wCHAAfdB7tz94y4bD6RSqao5HdpbU7OMCo+rKbjeS6d7NRXdAY4+4MJqV0DovlvXwvrvoOuZTcyv3Rnq/6Pca2ZsyOAmZfEwdNRPG2ZjbGxMQEDAM7/vbCOd/Z0mx6sJXXkRIIdh+a+QmJhI06ZNUalUer+bu7s77du359KlS2zbto26desCMGTIEJYsWULZsmU5ceIEtra2+s/yO7JYu3Ytjo6O3Lx5k2rVqlGxYsVcD2p2dnYcP36c1atX6w28VZo7w7rOYuCIL9iyZUuOB7J3xWelGBWFp/L4k25YWFiuz/38/Dh8+HCudnNzcw4ePKgPR27btm2ucOTw8HD69u2LiYkJFhYWjB49mt27d3Ps2DGOHtXJzxcvXpzvv/8e0N308iI5Xq2fu4Z/inpp0zIo41Cctuk+HJJFCUs6xLl4Rx6oM0i6JcHrn9HV6dOnuXfvHk19qnI76iLqdA0zri1i+UcjGHC+NJcAa1NjJreujNldQasFi7Bu0hLN5QsYFs4ataWruWNSk598itB3Q180Kt1N3qKsBSWGliAzNZPz826wpVAFBl6KhYTcBauMLAUZybmaaayNxa11ZaZtv0T0w1QK25oxuElZgqq5AW6AbvowO9EwICBAb2ifxuNGOpuMdC2H/ox8KaNy8uRJ+vbti6GhIUZGRvz000/cvHmTESNGYGRkhIGBAcuXL6do0aLMnDmTP/74g8zMTEqWLMnixYsxNjZm6dKlzJ8/H2NjY+rUqaMfDRQElpaW7M0alWb73fbs2cPOnTsZOHBgjnX9/PywtLTkm2++wc7OTj8FBvkfWWRHJxYtWpQGDRowfPhwqlWrpn9QK168OEuWLCEoKIgrx+7qDXzDqsH8EvodIa02UKOOl35a913yWSnJjwr54o+Tt59yU8tN586diYmJYezYsYSHh5OWlsawYcNYs2YNp0+fZtKkSbRt25Z+/frh5+fH2LFjKVSoED4+Pvj7+/P555/j5OTEqlWrWL58OeXLl+fHfgtJjgsFbRIYWGFkWhcjk/JY2ptQqY1pjqJe48aNwz4kjX6rvuFRRiYPNGo+qtmLMoWrEhH9N38dXYRTYVssbE1ZsWKFzkd0+jfY+CVLjyVwK1EyytcEjM3odaIiBy/GolarqVSpEhs2bMClQ1ceXDoPWi3WX4/GqFgJEudMxvBGFNUszShVqhTHfI6BEcSuiSX1aioYQqE2hbDwsOB0tVGw8UvQPFakzNiMBNsexCzakiOPRpia4jph/AtJ3+SHBZ/vfupnff7X4IX3Fxsbi4WFBVZWVmzZsoVff/2VxYsXo1LpAhOWLFnChQsXmDZtGunp6fr2Ll26EBwcTIsWLXB3d+fs2bNYWlri7+/PDz/88NQAj1fh1KlTzJs3j8WLFwP/jMizRyOTJk0iJCSEtLQ0Tpw4QdWqVfUji2rVqhEREYFBliL20KFDqVKlCh9//DGffvoprVu3pkmTJiQlJWFtbU1SUhI1atTgwIEDT61muWzEgTwfmiztTej6rU++z+ttqaeijFQUnssfJ2/rp4IAbj9MZfh6nfP9ScOS33DkihUr8vDhQ0A3hVC5cmU8PT2pUaMG/fr1w8HBgbVr12Jra8uFfaGkxm8DrU5bCm0SGY92YmgkqN2yNWW8XNi7d2+OfqTY32WN4Vy2x6lJfey5qXThKnwdND/3P2zIeNCk0q3qP9FZaFJZVPcO/H4ux76/nzObQZdukqr9Z8eFvhrB9LJFaeOiu3FkF4ZyCc751O9i4QKe7f85ZsItsCkCAd9g49keitV6ppba5qjNzDkxh9iUWFwsXOhfvf9LSbhb2ps89Ub2MmTLsoAucMLIyEhvOOCfAIrsz0H39K3VailVqhQA5cqVIykpCZVKRXp6un5aqaC4ffs2wcHBer/b08ieAh44cCAGBgZMmTIlx8jC4LESC0OGDKFLly788MMPeHp60rhxYzIyMqhfvz5mZmZoNBrGjh37zPLIzxqFv4s816gIIUyBvYBJ1vrrpJRjsjT41wDuwDWgvZQyzyLUQghDIBy4LaX8sGC6rvBvMW37Jb1BySZVk8m07ZdyGZX8hiO3adOGwMBARo4cibW19T/VDzt1olq1apiamtK+fXtcXV3ZOHEEmRnpT/QqAwN5mDI1886ByRaOTP3xbJ6f5/qHTbiV53p5tWcbjslRMdxWa3AzMWa4h6u+HcDHvjPrkmaBwWPRXo8Vhkp0b0rTtbNRqapyOyERYZhEwrW9pE6cTFFDga29HT/MnoWNp6d+qjBFpnAj7QZuX7ghDAUHpx3kkOYQbuZuzPp2Fs2aPbfUhZ7aLUvm8KkAGKkMqN3y1SRRUlJSGDlyJD//rJOI2rx5M2PGjCExMTGHbtikSZNYunQppUuXpmjRokDev31B4ubmlsPv9uGHT78VZSd4njx5Up+Pk1c1SgcHBzZv3pyjzcDAgOPHj+e7XwVt4N80+QkpVgMNpJRV0KXxNxVC1EInPhYipSwNhGQtP43+wIVX7KvCGyL6YWq+2l80HHn9+vWcPXuWwMBAZs2aRVJSEmPHjuXSpUtERkZy/vx5jh49StL9uDyPn5qse4a5sC+UhX0+YUaHQBb2+YQL+3RFniyqOT/1H/PJ9iarM3CalsTEvbp/7s0W5lS6YYHlbxnYV7Jn8OzBAAwYMIBatWoxLag5bfduJKZ+VcLrVCRp2194e3tTu3ZtWnb+jNWhTqTGtEabbouUIDW2fFj4S/2oInuOv9/q9aQOmcDV72eSumsL2gpVeDTlexp/PVQvOT9lyhS+++47XAe7YlLChIeHHiIMBG7d3HAf4Y5LPxcGDBiQ94/3FMrUdKF+x3L678HS3oT6Hcu9kpNeo9EQHBzM8OHDqVChAgAtWrQgPDyciRMnMmLECP26I0eO5PLly5QoUYKlS5c+9bcvKLLDy+Efv9uzeFqC5+ugdsuSGKly3ooLwsC/KZ47UskSEMt2HxpnvSTQEp0uP8AyIAwY+uT2Qogi6LRnJgEDn/xc4RU4/VuuKRT91EoBUtjWTB9e+2T747xqOLKBgQEqlQpLS0sMDQ2xs7PjwYMHWDk4khR3L9fxrRwcubAvlB0L55ORrrtpJMXdY8dC3fHK16uf7yfyxfOmset/w7j1QM1mC3OGqs25fSke9yHuCCEIMwxjc9Rm+vTpw+zZs9Fqtfj4+NCuXTtKlizJ2LFj9f4AG4+qWJpUw9ixGhmJ1fTH2BFnxpgsd4WBgQEGBgZMjoohNTkZI4/SGBYvQeaR/aRqJcsvRtHcWTfayp4qjE2JRftIi1ERI4SRQOWkm0a6p7mXY0omv5Sp6VJgkV5arZZOnToRFBREUFAQAGlpaZia6sr42tra6nOFstuFENjY2GBubv7U376gOHv2bA6/2+zZs/+/vTsPb7LKFzj+Pd1DWVpkaaGi1BGHYRV6URjQIthBGEWWCqMC3tHrCMpFFBCeDt4yMBd0QAdxnPvgcBkWuYIsA9gZBnAoo7KJDAKFAoIglJZVti6hy7l/vElImrRN2jRpmt/nefokeZM3OT+S8Mv7nt85h+vXrzN06FAOHz5MVlYWAwcOZMaMGYDrAZ61xfoe7Fx/gptXzDRsGulU3h1I3OpTsZy++hr4EfAHrfVupVRLrXUugNY61zLxmCu/B6YAlf80EJ6xdCzbOnuvnTFug9cTi315rZW1pNVeTcuRo6OjGTt2LD179iQ8PNy22NSxBhEOiQMgLCKSPiNH8/nHSx22A5TcMvP5x0tp36ev21/YhEfHwq6DsHMN82NjuJhxhZDIEE7NPUVIZAitnm3F/H3z2TzcmC4jJCSE0NBQW9+RfX+A2WymUVS0079j+SO7nJwcDvzqWUrOnqbJ5HTC2/2E/MV/5NIvh3Px5g1e/8qYAsd6qvCyvkxZZBlxIx3bfnXlVWZNmVXZW1jr1q5dS0ZGBufPn2f58uV06tSJLl26sGzZMlvCsI5If/3118nKyrL1p8yYMYPw8HCX7723dO/e3anf7fr16xQUFNCuXTsKCgp46KGHWPmvlYx7bhxms5kNezYwK3QWrwx8xalaceXKlTRq1IhRo0Zx5swZbt68yTPPPMPEiROr1T5vJnh/86j6SykVA6wDxgNfaK1j7O77QWsdW+7xPwcGaq3HWRaAmVRRn4pS6kXgRYA2bdp0P336tEeBBJ13OxqJpLwmd8JE1/0INeFJ9ZcrtikvPpxOt/MfM3rJcS7diiC2TQcWr91MTEwMU6ZMsZ3yOHr0qG0BqFGjRnH00EHO55yla+uWDOrVgz4jR9O+T1+nZYTtvb7yU5fbK2Kdgn/Vnas4++ezlN4s5c6X7+TGNze4tuMabca14cAYY/DgsmXL2Lp1K0uWLAGMX7bWteOL73qA8J6jnZ6/dYyJL6c6VlYl7cji9OnTXJn4AlH9HiOkSQzRqaOIOZ7FPetXkJGRQa9evViwYAF5sXn8auqvKFElNB9oHOVd2XiFB2IeYO2f1noUqzCOrsrKymxlxgOeHID5fjNF14to8WQLbh65ybXMayxbsYzFUxY7VSuOHTvWVslWUlJC+/bt2bdvX5Wn1mpLQFZ/aa2vKqUygQHAeaVUvOUoJR644GKXnwJPWNZGjgIaK6WWa62djiu11guBhWCUFHsYR1BwmI7+0hlGryvgUoEm1qRYPNhETJRi75FTvPLgg06/qMrPRbRgwQKPXvvJ+1t7lETKmzlzJg93/zF8+XsWnikgqVUoU3uHsTL7GL+b/Et+++Fa3n779qJy9gtAWUtTrV/c5XPes31xKzo1Ziou4drGjdUqxY2LjiM3OhdTWxNKKRp1bMT5VeeNyi2wJZONGzcCOPQHNGzYkAeSf8alC99Cix/dbk+5IzvrezEtMZ6Jly8T0iAatCakSQymEMX4zj9m+WKjqMF6qrB7m+4M6zaMDbs3oFDc+uct7iu9jzUfrvE4xnqjBqeAracgwThqyW+WT0RcBKXnjSPy0vxSVEPF/H3z6dmhp1O1ItyuZLOuFmo9xRfMqjwRq5RqbjlCQSllAvoD2cAGwLpY9xhgffl9tdbTtNYJWuu7MVYU+4erhCLc4zAdfVYDklqFkvlcNCM7hPO7L41TQHN2h/LWW2+xfft2evToYRvlDo5zEfmStcw4oewslJo5drmMpFbGaaMeLUvZtnWTw+P37dtHixYtaN3aSGKVfXH7jBxNaLkjlZCyMtqdu8yFd39frfZO6DaB2J/EGuNLgMJThUS1NCq3du/ezfTp01m9erVtVHX5/oD2d8czpnszWseYUBhHKLOHdnJIyocOHeKhhx7i/V8MI3rmFNq+OpXoISPRWzJoMO1llk4Yx+zZs4HbpwqTk5M5uPkgX/7hS7Y+tpXjfz7OrYu36Nu3L8nJyZSWVjojef1jPQV87Qygb58CPrDK7afIycmhd+/epKSkEN4lHNNdJgpPFHI87Ti5H+XSbEAz8vLzbEsJdOzYka+++orBgwfbniM1NZXExER69+7tNK1LMHLnSCUeWGLpVwkBVmmtP1VK7QRWKaWeB74HUgGUUq0wFngZWFuNDkZO4z8iOzE09iugjB6tQ5m/+xaEm+jQs7fLX1T2cxH9+te/5pFHPB/gVl22MuMt84FwOrUIZdO3JfRPDOOvx0u4csOxXNjVAlCpqals376dsWPHOnxx2/fpS86UKRyNa0pReBhRxSXcl3uF1ldvUnIt3+022k/Bv3fvXt6Z9w4vH36Z72Z/R3hIOHPmz2FQ4iA6PmHMoGztjJ43bx7du3d36g9486WRzKjkPxhX5/iNQFOcNlU0c0HQJZHyLGOLHBQXGtvdPFqxLzNu36M9DR9oSOOkxjQb0IyCbws4t+wcPaf3tFUr2k/vM3myURH4ySef2PpkRowYYat8C1buVH8dAO53sf0y4DTBkNb6HOCUULTWmRgVYqIanMZ/JA9h065I+jf5jr/uOcGVW6Hw+HsM48cux3/Yz0XUv39/9u7d65Nzvw5lxhHRwC2e7xbOa38vou+SfHomhNIq9nYVmXV8QHp6usPzVPbFvcvUmNZHvnd67TAPxjlYp+C39/NPnbv/Dh1y3V81fvx4xo8f7/briYq5PcDTg7FFrpSf3qdlbEvMmAltZPwYCG0cii7QTOg2gVl6llO1otaa4uJiIiIiiIqKwmQy2Y5eg5mMqA8AFY3/eC0ri74bbtKz5xO0KtoFnZ/ipV69XP6isp+LqEuXLvxr0SLiN2yscOS2tziUGZ9SZOcWs3JYCO8PNL58C/drEh5KtT2+/PgAd764LSa+6rTuvIqKosXEV70eT31w5PNtfP7xUm5cvkSjO5rZih7qgoyTGaTvSKeo1Hgvc/NzSd+RDuCcWJokVFCskuDWa5UvM170wSJyGuQw8cWJXP3nVUJLQ0mbkcagxEE0nNPQqVqxpKTENjeX2WxmxIgRtG3bttqx1xeSVAJATcd/aK0d5iL6ZudOIg4foaSkBICSc+fInf4mgMeJpaq17NPS0rh27Rp79uyhNCSC4zciWXgoii+//YHS0EjOlzah9bWT/CUlhc2bNzuND3Dni2ttc2XTmwhDVeN6/G3+vvm2hGJVVFrE/H3znZNKvzddzqFGvzfdeq2KTkGOPuhcuVfRKUhXE60GO5lQMsBYx380bdqUcePGOYz/CAsLY/v27bzxxhsOv6iaN2/Ogw8+aJuL6Bc38/mZi/PxYa1ace8/PnPxqhVzZ/JIe507d+Zvf/sbrVu35tlnn2XatGl06NChRv8mwn0LX/531wNJmzXnxT8s9kOLHHVe0hmN8/9JCmUr53bgowHAgSAgS4qF/1V3Onr7uYiOtHfdkViSm+tRW9ydPNLKvqqrtLSUQ4cOub2Wvb+sybtS6RxfgaaiKW8q2u5rcdFx5OY7fw6t5dxOOj8VtEmkrpLlhINQRR3YnnRsA05LpFonjwQcJo+0sq/qunDhAgcPHmTChAls2bKFFStWcOSIG9PDHVhlDPxMjzEuPSgf9dSavCtMOnqGs+ZiNHDWXMyko2dYk3elyn3rqkZ3NPNou69N6DaBqNAoh232E3GKuk+SShBqMfFVVJTjF9fTjm1PJo+E21Vdw4YNA6Bp06aer2XvhXEJnph9MtdhenuAwjLN7JOeHdHVJX1GjiYswnEyTeuUN3XBoMRBpPdKJz46HoUiPjqe9F7p1ZreX/iHnP4KQpV1bFfV8W5dtfGll17ixo0bLFiwgLCwMLKzs4mIiLCNUJ47d66tjh+cq7qqtZa9F8YleCLHXOzR9kBg7Yyvq9VfYCQWSSKBSzrqhU1u3nr+/bn/4MLFm7zw/I+4dOnfiIi4t8pVGzdt2sTcuXNtxQMlJSVkZ2eTl5dHWJjxu2X06NGkpqbyuF1F1v79+5kwYYJtLftZs6qYFDE9Blx04oKC9Kve+mewSdqRxVkXCSQhMpy9vaS4wJdqOvdcMJCO+noqUD/8uXnrWbduIo2b3ELrUG4VX+brr9fx9DOvApWv2jh58mTbUqyZmZm88847FBQU2BIKwNKlS51es2vXrmzfvt39RtZwXIKnpiXGO63waApRTEv07uJRonKerDwq/E/6VLzI+uHPuVqI5vaH/y//yvF306p08sRcli87z8iRMbZtd7cN5S/rjOnKy6/aWNE8SAAfffQRTz/9tPcb2e9NYxyCPQ/GJXhqWFxT5t53JwmR4SiMIxT7JYOFb1S28qioeySpeFEgf/gzt39Lu3aRNGlye76qxx5rRGHhDbdWbbQ6cuQIJpOJxMRE7zey81Pw+HvG9P4o4/Lx92q1pHRYXFP29upgW+FREorvubvyqKgb5PSXFwXyh//0qUi++eYqWVOL+O7kLb4/U8z06S2YPLkzP/3ptipH7VstW7bMaTJIr5JxCUHH3ZVHRd0gScWLAvnDP+M388nOTqOsrJC337rAYwMbYzZHMHnyD5hM/apctRGMZLN69Wp27tzpz1BEPePuyqOibpDqLy8q36EIxoe//FoaPufmVBa5ees5eWIuReZcoiLjSbxnEvFxg108oRC+FagFML5UV6q/JKl4WZ378Jdfyx6Mzu1a7osQQviWJJVKBHJSqXN8vJa9EMI/6kpSkeqv+q6GCxkJIYQnJKnUdxUNDKylAYNCiOBWZVJRSkUppfYopb5RSmUppWZYtjdVSm1RSh23XMa6u6+omYyTGaSsTqHzks6krE4h42RGxQ/28YBBIURwc+dIxQw8orXuAnQFBiilHgSmAp9pre8FPrPcdndfUU3W5VZz83PRaNtyqxUmFj8MGBRCBK8qx6looyf/puVmuOVPA4OBZMv2JUAm8Iab+4pq8mi5VSsZMCiE8BG3+lSUUqFKqf3ABWCL1no30FJrnQtguWzhwb6imvLy8zzaLoQQvuRWUtFal2qtuwIJQA+lVEd3X8DdfZVSLyql9iql9l686LyGtjBUtKxqhcutiqB27NgxwsPD+eKLLygoKGD48OEkJyczZMgQ20zTx44dIzk5meTkZF577TWswwxGjRpFcnIySUlJDvO7CVEZj6q/tNZXMU5zDQDOK6XiASyXFzzY19X9C7XWSVrrJOu8UsKZLLcqPDFz5kwefvhhABYuXEhSUhKZmZmMHDnSNu3OlClTmDNnDpmZmRQWFrJ161YAFi1aRGZmJrt27eKDDz7gxo0bfotDBA53qr+aK6ViLNdNQH8gG9gAjLE8bAyw3oN9RTXJcqvCXXv27CEuLs42EeixY8dISjLGxvXo0YNt27ZVuj0iIgKAoqIi2rRpQ4MGDXwdgghA7hypxAPblFIHgK8w+kU+BeYAjyqljgOPWm6jlGqllPprFfuKGhiUOIjNwzdzYMwBNg/fLAlFuDRr1iymTr1dlNmpUyc2bdoEOK6PY92utWbTpk227QCpqakkJibSu3dvQkNDEaIqVSYVrfUBrfX9WuvOWuuOWuvfWLZf1lr301rfa7m8Ytl+Tms9sLJ9hRC1KyMjg6SkJO644w7btueff56ioiKn9XHmzZvHokWLePTRR4mNjbVtB/jkk084deoUGRkZHD582OdxiMAjU98LUQ/t37+fzMxMduzYwcGDB8nOzmblypW8//77AA7r4yQkJLBu3Tq01owePZqhQ4eitaa4uJiIiAiioqIwmUyYTHV/CQfhf5JUhKiH0tLSSEtLA+C5557jhRdeID8/n+TkZEJDQx3Wx1mxYgUffvghSilGjRpFx44dKS4uJiUlBQCz2cyIESNo27at3+IRgUNmKRZCiHpAZikWQghR70hSEUII4TWSVIQQQniNJBUhhBBeI9VfQvhZbt56Tp6YS5E5l6jIeBLvmUR83GB/N0uIapGkIoQf5eatJzs7jbKyQgCKzOfIzjZKgSWxiEAkp7+E8KOTJ+baEopVWVkhJ0/M9VOLhKgZSSpC+FGROdej7ULUdZJUhPCjqMh4j7YLUddJUhHCjxLvmURIiOOcWiEhJhLvmeSnFglRM9JRL4QfWTvjpfpL1BeSVITws/i4wZJERL0hp7+EEEJ4jSQVIYQQXiNJRQghhNdIUhFCCOE1klSEEEJ4TZ1c+VEpdRE4XY1dmwGXvNycQBGssQdr3BC8sQdr3FB57HdprZv7sjGu1MmkUl1Kqb11YTlNfwjW2IM1bgje2IM1bgiM2OX0lxBCCK+RpCKEEMJr6ltSWejvBvhRsMYerHFD8MYerHFDAMRer/pUhBBC+Fd9O1IRQgjhRwGXVJRSXZVSu5RS+5VSe5VSPSzbn7Fss/6VKaW6utg/XSmVY/e4gT4PohpqGrfd80xSSmmlVDOfNb6GvPCez1RKHbA8ZrNSqpXPg6gGL8T9O6VUtiX2dUqpGF/HUF1eiD1VKZVlub9OV0vZ80LcTZVSW5RSxy2XsT4PQmsdUH/AZuAxy/WBQKaLx3QCTlawfzowyd9x+Dpuy/13An/HGAPUzN8x+fA9b2x3/T+B//F3TD6KOwUIs1x/C3jL3zH5MPb2wH1AJpDk73h8GPfbwFTL9an+eM8D7kgF0EBjy/UmwDkXj/kF8H8+a5FveCPud4EplucKJDWKXWt93e5mNIETf03j3qy1LrHc3AUkeL2FtaemsR/RWh+tpbbVppp+zwcDSyzXlwBPerNxbvF3Zq5GJm8PfA+cAXIwRpGWf8wJoGMF+6cDp4ADwP8Csf6OyUdxPwHMt1w/RWAdqdQodsv9v7Xsfwho7u+YfBW33eM2As/6OyZfx07gHanU9Ht+tdztH3wdQ51cpEsptRWIc3FXGtAPmKi1XqOUegpYBPS32/cBoEBrfaiCp/8jMBPjF8FMYB7wSy82v9pqK26lVAPLc6TUSsO9oJbfc7TWaUCaUmoa8ArwX95sf3XVdtyWx6UBJcBHXmu4F/gi9rqovscdcCXFSqlrQIzWWiulFHBNa93Y7v53gYta6/9247nuBj7VWnestQZ7SU3iVkp1Aj4DCiybEjAOq3torfNqv/U14+X3/C4go76/53aPGQO8BPTTWhdU9Li6xlvvuVIqE6MPdW+tNthLahq3UuookKy1zlVKxWP0ydznk8ZbBGKfyjngYcv1R4Dj1juUUiFAKvBxRTtb/qGthmCcDgkE1Y5ba31Qa91Ca3231vpu4CzQLRASikVN3/N77W4+AWTXQhtrQ03jHgC8ATwRSAnFokaxB7Caxr0BGGO5PgZYXwttrJy/zyF6+gf0Br4GvgF2A93t7ksGdrnY509YzqsCy4CDGH0qG4B4f8fki7jLbT9FYPWp1PQ9X4Px4+EARt9Ca3/H5KO4v8U4N7/f8hcQVW9ein0Ixo8nM3Ae+Lu/Y/JR3HdgnJU4brls6usYAu70lxBCiLorEE9/CSGEqKMkqQghhPAaSSpCCCG8RpKKEEIIr5GkIoQQwmskqQghhPAaSSpCCCG8RpKKEEIIr/l/T0Z+9r+1dRQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Special for Florida -- let's group the western panhandle into a single blob\n",
    "for m in range(nTracts):\n",
    "    x = tractGeom[m].centroid.x\n",
    "    y = tractGeom[m].centroid.y \n",
    "    \n",
    "    if x < -87.0 :\n",
    "        x2,y2 = tractGeom[m].exterior.xy  #turn these two on to show state map\n",
    "        #plt.plot(x2,y2,c=\"purple\")\n",
    "        plt.text(x+0.03, y+0.03,m, fontsize=9)\n",
    "        plt.scatter(x,y)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "d40ef4df-1153-4db1-8ca2-b847119696f2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_57/994343259.py:8: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  tractPop[superTractNo] += tractPop[m]\n",
      "/tmp/ipykernel_57/994343259.py:9: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  tractPop[m] = 0.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "combined all westernmost tract Pops into tract 1034 with total pop 439964\n"
     ]
    }
   ],
   "source": [
    "# OK, lump all of these into tract 1034 (the easternmost one).  Check that the total pop is still less than a district\n",
    "superTractNo = 1034\n",
    "for m in range(nTracts):   \n",
    "    x = tractGeom[m].centroid.x\n",
    "    y = tractGeom[m].centroid.y    \n",
    "    if x < -87.0 :\n",
    "        if (m != superTractNo) :\n",
    "            tractPop[superTractNo] += tractPop[m]\n",
    "            tractPop[m] = 0.\n",
    "\n",
    "print(\"combined all westernmost tract Pops into tract {0} with total pop {1}\".format(superTractNo,tractPop[superTractNo]) )\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "c802f003-cdd0-4eac-b8a5-459285f80bfc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Special for Florida -- let's group the southern tip into a single blob\n",
    "for m in range(nTracts):\n",
    "    x = tractGeom[m].centroid.x\n",
    "    y = tractGeom[m].centroid.y \n",
    "    \n",
    "    if y < 25.5 and y > 25.48 :\n",
    "        x2,y2 = tractGeom[m].exterior.xy  #turn these two on to show state map\n",
    "        #plt.plot(x2,y2,c=\"purple\")\n",
    "        plt.text(x+0.02, y+0.02,m, fontsize=9)\n",
    "        plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "1bd3c666-ae96-4df1-a025-bc44a5fabd03",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_57/250202875.py:8: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  tractPop[superTractNo] = tractPop[superTractNo]+ tractPop[m]\n",
      "/tmp/ipykernel_57/250202875.py:9: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  tractPop[m] = 0.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "combined all westernmost tract Pops into tract 4425 with total pop 215394\n"
     ]
    }
   ],
   "source": [
    "# OK, lump all of these into tract 4425 (a central northern one).  Check that the total pop is still less than a district\n",
    "superTractNo = 4425\n",
    "for m in range(nTracts):   \n",
    "    x = tractGeom[m].centroid.x\n",
    "    y = tractGeom[m].centroid.y    \n",
    "    if y < 25.5 :\n",
    "        if (m != superTractNo) :\n",
    "            tractPop[superTractNo] = tractPop[superTractNo]+ tractPop[m]\n",
    "            tractPop[m] = 0.\n",
    "\n",
    "print(\"combined all southernmost tract Pops into tract {0} with total pop {1}\".format(superTractNo,tractPop[superTractNo]) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "id": "b6893395-f060-441f-beb2-6330b04a3627",
   "metadata": {},
   "outputs": [],
   "source": [
    "# let's flag these nonoperative tracts\n",
    "isSkippedTract = [0]*nTracts\n",
    "for t in range(nTracts):\n",
    "    x = tractGeom[t].centroid.x\n",
    "    y = tractGeom[t].centroid.y\n",
    "    if (x < 87.0 or y < 25.5) :\n",
    "        if tractPop[t] == 0:  #we don't flag the tracts that grabbed the peninsula populations\n",
    "            isSkippedTract[t] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "c8979f27-45dd-4894-b876-32480df4a01e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "looking for tracts with zero area\n"
     ]
    }
   ],
   "source": [
    "# For potential later issues, identify and visualize zero-Area tracts.  See Ohio code for more code\n",
    "print(\"looking for tracts with zero area\")\n",
    "for m in range(nTracts):\n",
    "    if(tractArea[m] == 0):       \n",
    "        x = tractGeom[m].centroid.x\n",
    "        y = tractGeom[m].centroid.y\n",
    "        print( m,tractPop[m],\"(\",x,\",\",y,\")\" )\n",
    "        x2,y2 = tractGeom[m].exterior.xy\n",
    "        plt.plot(x2,y2,c=\"purple\")\n",
    "        #print(tractGeom[m])\n",
    "        plt.scatter(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "08fa0459-ad67-440e-9b74-51def9368b7c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# example of cleanup of lakeshore low populations\n",
    "# tractPop[2494] += tractPop[2480]  #added these two lines after below decision\n",
    "# tractPop[2480] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "c10aa904-7512-4776-9d01-b0c311351ba5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "working on tract  50\n",
      "working on tract  100\n",
      "working on tract  150\n",
      "working on tract  200\n",
      "working on tract  250\n",
      "working on tract  300\n",
      "working on tract  350\n",
      "working on tract  400\n",
      "working on tract  450\n",
      "working on tract  500\n",
      "working on tract  550\n",
      "working on tract  600\n",
      "working on tract  650\n",
      "working on tract  700\n",
      "working on tract  750\n",
      "working on tract  800\n",
      "working on tract  850\n",
      "working on tract  900\n",
      "working on tract  950\n",
      "working on tract  1000\n",
      "working on tract  1050\n",
      "working on tract  1100\n",
      "working on tract  1150\n",
      "working on tract  1200\n",
      "working on tract  1250\n",
      "working on tract  1300\n",
      "working on tract  1350\n",
      "working on tract  1400\n",
      "working on tract  1450\n",
      "working on tract  1500\n",
      "working on tract  1550\n",
      "working on tract  1600\n",
      "working on tract  1650\n",
      "working on tract  1700\n",
      "working on tract  1750\n",
      "working on tract  1800\n",
      "working on tract  1850\n",
      "working on tract  1900\n",
      "working on tract  1950\n",
      "working on tract  2000\n",
      "working on tract  2050\n",
      "working on tract  2100\n",
      "working on tract  2150\n",
      "working on tract  2200\n",
      "working on tract  2250\n",
      "working on tract  2300\n",
      "working on tract  2350\n",
      "working on tract  2400\n",
      "working on tract  2450\n",
      "working on tract  2500\n",
      "working on tract  2550\n",
      "working on tract  2600\n",
      "working on tract  2650\n",
      "working on tract  2700\n",
      "working on tract  2750\n",
      "working on tract  2800\n",
      "working on tract  2850\n",
      "working on tract  2900\n",
      "working on tract  2950\n",
      "working on tract  3000\n",
      "working on tract  3050\n",
      "working on tract  3100\n",
      "working on tract  3150\n",
      "working on tract  3200\n",
      "working on tract  3250\n",
      "working on tract  3300\n",
      "working on tract  3350\n",
      "working on tract  3400\n",
      "working on tract  3450\n",
      "working on tract  3500\n",
      "working on tract  3550\n",
      "working on tract  3600\n",
      "working on tract  3650\n",
      "working on tract  3700\n",
      "working on tract  3750\n",
      "working on tract  3800\n",
      "working on tract  3850\n",
      "working on tract  3900\n",
      "working on tract  3950\n",
      "working on tract  4000\n",
      "working on tract  4050\n",
      "working on tract  4100\n",
      "working on tract  4150\n",
      "working on tract  4200\n",
      "working on tract  4250\n",
      "working on tract  4300\n",
      "working on tract  4350\n",
      "working on tract  4400\n",
      "working on tract  4450\n",
      "working on tract  4500\n",
      "working on tract  4550\n",
      "working on tract  4600\n",
      "working on tract  4650\n",
      "working on tract  4700\n",
      "working on tract  4750\n",
      "working on tract  4800\n",
      "working on tract  4850\n",
      "working on tract  4900\n",
      "working on tract  4950\n",
      "working on tract  5000\n",
      "working on tract  5050\n",
      "working on tract  5100\n",
      "working on tract  5150\n",
      "Map minX,minY, maxX, maxY are (-87.121962, 25.211138, -80.027109, 31.000968)\n",
      "state map area =  21.323271480317977\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# let's clean up tract geometry for good and build convex hull around map, check its shape\n",
    "# This block takes about 45sec to run for Ohio's 3168 tracts, but 4min for Illinois's 3265 tracts, 8min for Florida 51xx\n",
    "MAP = tractGeom[0]       #method to union all the precincts\n",
    "minTractPop = 10 #arbitrary threshold for ignoring sparsely populated tracts\n",
    "for t in range (1,nTracts) :\n",
    "    if (t % 50 == 0):\n",
    "        print(\"working on tract \",t)\n",
    "    tractArea[t] = tractGeom[t].area\n",
    "    if (isSkippedTract[t] == 0) : #do not include sparse tracts in map\n",
    "        MAP = MAP.union(tractGeom[t])\n",
    "\n",
    "origMAP = MAP    # *** FOR REAL MAPS, WE'LL NEED TO BUILD MAP OUT TO ITS CONVEX HULL BEFORE ADDING BUFFER ***\n",
    "MAP = origMAP.convex_hull\n",
    "bBox = MAP.bounds\n",
    "MAPMinX = bBox[0]  #these four are useful for slicing ops\n",
    "MAPMinY = bBox[1]\n",
    "MAPMaxX = bBox[2]\n",
    "MAPMaxY = bBox[3]\n",
    "\n",
    "print(\"Map minX,minY, maxX, maxY are\",bBox)\n",
    "print(\"state map area = \",MAP.area)\n",
    "x2, y2 = MAP.exterior.xy\n",
    "plt.plot(x2,y2,c=\"green\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "id": "fcce59ea-3173-45f9-9146-b70943a3b5ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#now examine the \"original map\" prior to the convex hull flesh-out\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "96462f26-29df-47a2-9094-a750f775633b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low pop 1107 0 -88.09956564515639 41.36725618237252 0.008093493188000216\n",
      "low pop 2285 0 -87.90384042295118 41.98028212960969 0.0021707687905000565\n",
      "low pop 2385 0 -87.40033361631549 41.97403716162433 0.1865102143629995\n",
      "low pop 2654 2 -89.09758922260009 42.198020161131716 0.0008129083699999722\n",
      "low pop 3235 0 -87.43181673734236 42.32668633832792 0.2510725489789998\n",
      "low area 343 2318 2.407141499994983e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Ignore most tracts with <100 people\n",
    "#Let's visualize our low-population tracts\n",
    "avgArea = 0.\n",
    "countSparseTracts = 0\n",
    "for m in range(nTracts):\n",
    "    if(tractPop[m] < minTractPop):\n",
    "        countSparseTracts += 1\n",
    "        x,y = tractGeom[m].exterior.xy\n",
    "        print(\"low pop\",m,tractPop[m],tractGeom[m].centroid.x,tractGeom[m].centroid.y, tractGeom[m].area)\n",
    "        plt.plot(x,y)\n",
    "    else :\n",
    "        avgArea += tractGeom[m].area\n",
    "\n",
    "avgArea = avgArea / (nTracts - countSparseTracts)\n",
    "\n",
    "for m in range(nTracts):\n",
    "    if tractArea[m] < 0.001 * avgArea:   \n",
    "        print(\"low area\",m,tractPop[m], tractArea[m])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "id": "848d5530-74d5-4355-b0a5-746d151a6462",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>geometry</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>POLYGON ((-84.91981 30.09502, -84.91977 30.095...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>POLYGON ((-85.15381 30.09285, -85.15288 30.093...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>POLYGON ((-85.04997 30.33817, -85.04971 30.339...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>POLYGON ((-84.87438 30.49047, -84.87443 30.490...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>POLYGON ((-85.00164 30.45097, -85.00153 30.452...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            geometry\n",
       "0  POLYGON ((-84.91981 30.09502, -84.91977 30.095...\n",
       "1  POLYGON ((-85.15381 30.09285, -85.15288 30.093...\n",
       "2  POLYGON ((-85.04997 30.33817, -85.04971 30.339...\n",
       "3  POLYGON ((-84.87438 30.49047, -84.87443 30.490...\n",
       "4  POLYGON ((-85.00164 30.45097, -85.00153 30.452..."
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now, let's read in the voting data\n",
    "#  VTDdata = gpd.read_file(\"state_map_files/fl_pl2020_vtd.shp\") #nope, this is only geometry data \n",
    "VTDdata.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "id": "539c1b09-db58-4e2b-b6ee-8c2c5cfe559c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pct_std</th>\n",
       "      <th>county</th>\n",
       "      <th>precinct</th>\n",
       "      <th>G20PRERTRU</th>\n",
       "      <th>G20PREDBID</th>\n",
       "      <th>G20PRELJOR</th>\n",
       "      <th>G20PREODEL</th>\n",
       "      <th>G20PRESLAR</th>\n",
       "      <th>G20PREGHAW</th>\n",
       "      <th>G20PRECBLA</th>\n",
       "      <th>G20PREOWRI</th>\n",
       "      <th>geometry</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ALA0001</td>\n",
       "      <td>ALA</td>\n",
       "      <td>01</td>\n",
       "      <td>725</td>\n",
       "      <td>424</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>POLYGON Z ((-82.24245 29.85246 0.00000, -82.24...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ALA0002</td>\n",
       "      <td>ALA</td>\n",
       "      <td>02</td>\n",
       "      <td>969</td>\n",
       "      <td>752</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>POLYGON Z ((-82.41775 29.92248 0.00000, -82.41...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ALA0003</td>\n",
       "      <td>ALA</td>\n",
       "      <td>03</td>\n",
       "      <td>2036</td>\n",
       "      <td>1431</td>\n",
       "      <td>32</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>POLYGON Z ((-82.53335 29.84801 0.00000, -82.52...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ALA0004</td>\n",
       "      <td>ALA</td>\n",
       "      <td>04</td>\n",
       "      <td>1749</td>\n",
       "      <td>990</td>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>POLYGON Z ((-82.55700 29.65461 0.00000, -82.55...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ALA0005</td>\n",
       "      <td>ALA</td>\n",
       "      <td>05</td>\n",
       "      <td>624</td>\n",
       "      <td>1789</td>\n",
       "      <td>36</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>POLYGON Z ((-82.34441 29.66672 0.00000, -82.34...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   pct_std county precinct  G20PRERTRU  G20PREDBID  G20PRELJOR  G20PREODEL  \\\n",
       "0  ALA0001    ALA       01         725         424           6           2   \n",
       "1  ALA0002    ALA       02         969         752          18           0   \n",
       "2  ALA0003    ALA       03        2036        1431          32           1   \n",
       "3  ALA0004    ALA       04        1749         990          37           1   \n",
       "4  ALA0005    ALA       05         624        1789          36           0   \n",
       "\n",
       "   G20PRESLAR  G20PREGHAW  G20PRECBLA  G20PREOWRI  \\\n",
       "0           1           1           0           1   \n",
       "1           0           3           1           8   \n",
       "2           0           5           3          10   \n",
       "3           1           4           1           7   \n",
       "4           0          12           0          18   \n",
       "\n",
       "                                            geometry  \n",
       "0  POLYGON Z ((-82.24245 29.85246 0.00000, -82.24...  \n",
       "1  POLYGON Z ((-82.41775 29.92248 0.00000, -82.41...  \n",
       "2  POLYGON Z ((-82.53335 29.84801 0.00000, -82.52...  \n",
       "3  POLYGON Z ((-82.55700 29.65461 0.00000, -82.55...  \n",
       "4  POLYGON Z ((-82.34441 29.66672 0.00000, -82.34...  "
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now, let's read in the voting data   #For Florida, only this file has usable data\n",
    "VTDdbf = gpd.read_file(\"state_map_files/fl_vest_20.dbf\")\n",
    "VTDdbf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "id": "022a0cd3-0cf8-41ef-aa1d-560064afd963",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6010 0.517202215682034 10880081 = number of precincts, statewide GOP vote, total Trump+Biden votes\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([ 424,  752, 1431, ...,   27,    0,   26])"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Pull VTD geopandas data columns into arrays\n",
    "vtdGeom = VTDdbf['geometry']\n",
    "vtdTrump = VTDdbf['G20PRERTRU']\n",
    "vtdBiden = VTDdbf['G20PREDBID']\n",
    "nPrecincts = len(vtdGeom)\n",
    "stateGOP = np.sum(vtdTrump)/(np.sum(vtdTrump) + np.sum(vtdBiden) ) \n",
    "print(nPrecincts, stateGOP, np.sum(vtdTrump) + np.sum(vtdBiden),\n",
    "      \"= number of precincts, statewide GOP vote, total Trump+Biden votes\" )\n",
    "vtdTrump.to_numpy()  #these two lines avoid pandas complaints when we overwrite precinct data\n",
    "vtdBiden.to_numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "id": "650cf37d-e11a-4ed3-861b-3f3edc411422",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wCt2dD+Yi0NsF2nteKq1MGT3cPc977+AXHgtmjo3UIAZTyA7GglzIe5aCxlxpFPszz9VW9TysXf4oEfGWIx8JnBbz+g8AfwHUesYmqmobgKq2icgEe3wqlubg0GqPdduPg+Nhc16MpYHQ0NAQc4qGOOT7cje1tLNsfSvPNLXSk8ptdhksO35vzwvee/AL+ePXd4QKqFxf3oEQqnE+s/6egxECg0sxf/+5NItZwNXAaKwMbocO4Gv5LiwiVwMHVLVJRBbFmEtYEIXmGM8eVH0YeBisDO4Y72noB5yddWd32v1gonb1g2nH76/zgl9It9BgdxoRoW5ETeSxUBoBA6UwB0N5kaut6vPA8yKy0DEBFcglwDUi8sdYmshIEfm/wH4RmWxrFZOBA/bxrcA0z/n1wF57vD5k3FAiOCYcR1AI0bWT4pqJ4u56w47r7e6qL+ctuXo2S57fRFqV+17azKxJtZHXKoWAgVKYg6G8iFNI8OsiMtp5IiJ1IvLTfCep6ndVtV5VZ2A5rl9T1X8PvECmxPltwPP24xeAm0VkmIicCZwDrLFNVh0iskBEBPiK5xxDCeAtIliTFG69uCFypxqn4GBTSzu3PLySv/31Nm55eGVksUBnd/x3L2/jy4+sGtAeE8FChu0nu0irxqq6WwptZkthDobyIo6D+wJVPeo8UdV2EflkH97zfqw6U18FdgE32tfdLCJPAe8CPcBddiQUWD01HsUKnV2OcW6XFMGw1U17j/Hs+lb3tahjo7SGZetb6UpZekpXSlm2vrWk4vXDTDiF+ErimryK6dcwEUmGQokjLBIiUufJhRgT8zwXVX0DK+oJVT0MXBFx3A+wIqeC4+uAOYW8p2Fg8C5oC2aO5ZaHV7oL/dNNrSz9WraGkc/cE3RSRWUEexfoZELYe/QUTS3tA5pP0GULqbsuP7ugxTeO87nYPgXjjDYUQpxF/++A34vIM/bzGwlZ0A1Dj+CCdv3cerpTmbiC3u72r59bz9NNmfBUJ98hiLfExDNNrSxds4unm1r5YmM9N8ytL9pCWDeihrR9m2nFdWj35+JbbK1psEOcDeVHnHIfPxeRJuByrE3e9ar6btFnZih5gguaANVJcTWL3trCG6fXsfRr0bv04EK3qvkwPanMTn/p6l08m6PcRF9pP9nldsxL2M+j5tZbvK1cgxFWfcVEQhl6Q1xz0las3ttVACLSoKq7ijYrQ1kQtNNfP7ee6+fWu8Xkru/D7j5qlx620NWNqCEhgqqi+NueFmMRXDBzLMOqw0uk51qECxEk3girVDp/hFUh5NJajMZhiCJOuY8/Bb4H7Meq2eRsqi4o7tQMpU6Uk7S/FhnvwgXWIrfn6KnQWk2ptJJICIKi2nutJs5iGXXf+RbhQnfzToSVAl3daR5YsZ27rzy3z7/fXP1AjMZhiCKOZvEtYJbtmDYYfBTLSRqs1YQIPak0VckEVQkhlVa3VpOTDKhp5YrzJ3KqO8VVcyYXPC8nZLc7pVQnhaWLF+YUGMHXckVE9cYH4U32SwO/fe8Qqz84Eho0UAiOsHt2fasvu9XkXhhyEUdY7AaOFXsihqFHcBfvfe5buFKWcUmBVCrNzfMbmDJ6OAtmjmXbvg53wUsDr23dT1ph7c4jBZttgiG79724mSVfmN0vWeC9KUPiXO++Fzfzdqv1FezqSfNsRChxoSyzq+c6/p1yKRhpGBziCItm4A0R+Veg0xlU1R8WbVaGQWOgbNZBk8eSq2dz30ubfc8zJTRAEoLa2oTXF7Kq+TAJsaKSBEilLRtpVwE7Y+eeD3V0+sbfbj3Glx9ZVZA5JkrT6ksZktlTR7nCAiJq3RRImBZRaPivYWgRR1jssv/V2P8MFUrYAt5+sqsoC0dwsVq+qc33vP1kl8/Bm1C44mMTufOysyJ37ImEuKG73pDWuPdclRCqk9Iv4b9h9NZkd8Pcep5Zt9s1j90QEUpcCFFahMm9MEQRJ3T2+wMxEcPg0tTSzgMrtrv2/67utFvrqBjOzuBiddWcyazdecS3eK1qPuw6eFNp5bWtB7jzsrN81/Hu2PccPcXS1bvc6pPLN7XlNUUFS5PfNN+qVvxMU6vbAKnY5ph82lzj9DqWLl7Yrzt+k8FtKJRcJcofUNW7ReRFQjRfVb2mqDMzDBje3bWTO5BISFato2JXh501qTZr8UqINQ+AdFpD5+Hshpta2t0duAK/23GItTuP5BR0QaHlJPPdMLc+0p/S38lxcSKQirHjN1qEoRByaRb/x/75twMxEcPg4d1dJwQuOXscV82ZzH0vbbZKaSQT7OljKY2wMFivmSiqeux9186xNJy0UlMdY5cvYrvCcQXds+tbc/aUCDO3eRfSYoaUmggkQ7mQq0R5k/1wHXBKVdPg9tQeNgBzMwwQwd21E8s/a1Itz65v5el1u3lijZUV3Rs/RlgYbLejxQhUJROgSk862+R168UNoRpHGE4mt5dEQnh63e6saxciAApd0AvRQkwEkqFciOPgfhW4EvjQfj4ceBn4N8WalGHguWFuPWr/BPjx6ztYMHMsU0YPpyetbimNoB8DyLswBsNg1WPVdBZg8GdeA24ewA1z67nr8rNzzr+ppZ09R09ljU8YeRp7209lZXUHiwHmSnjLlcQWvPdCtRDjOyhtTEZ7hjjC4jRVdQQFqvqhiIwo4pwMA0hwcZszZVRoCGu3XaMolVZ34X12fasbqx9cGIPVaJ06R+mA9yuoWYgIHae6udlOjgN4Zt3unAly3nsIetfajp5yh5IJcXtm7z16iqqEuILwrfei/RthC3qUUOiNWckbBux9XkzMIpgfk9HuJ46wOCEic1V1PYCINALZWzhDWRInhNXbq8LxY1RXJdx8hrRaWdROEhuQ9SV77I4FPLBiO2+9d8hdvM8efzoXzxzL9XPr2bavww2T/affNuOJXqU7Fe7YDruHBJl6NALYvnEEuHHeNN/ckglh9PBqjpzsdiPA4izuwcgxrzbkCCEnwzyOWWmgF6Ww94P8GuJQw/iT/MQRFncDT4uI08p0MnBT0WZkGFCCJpbZk0ey8v3DQGax8zp7vf4DsEJMnSiqt1uPccvDK1k0a0ImBNdj4rn7ynNZu/OI+9r7B0/QevQU18+t99VBSoVoH7kWXe89SELosS/gvYwCs6eM8i0A6ZRy5GS3e0yaTG5G0CEfVnrEiRyrrkpQN6Imc0wywU3zp8Uukz7Qi1Lw/Zz6WgORX+MwmJpN3Pc2/iQ/cfIs1orIecAsrA3aVlXtznOaoUzwmlgczaEnrSQEbl84IzJM1eGLjfU8vjpTgLgrpby69UCmBEfAxLPk6tn89XMbUfVnWi+YOdbNxE7aGduplDWP/3bdx2Pb/V/evM+X7ezl9W0H+PplZ1FTlXAFlhfBKt4X3HnfMLc+499IOXVtM5Fjd195rj9fI5Vm6ujhsRdBp2quV0BD8RbU4CIo4PPfFDO/BgbXvFPIext/kp84VWdHAN8Gpqvq10TkHBGZpaovFX96hoHAEQA/fn0Hnd2Wszmt8MhbH/CZ2ZNyfklumFvvahdgLfSq/mU4aKrxvpwQcWs82ZcgpfD1S87keGcPgqXNxL2HjlPdkcLi1S37+fplZ7lF9J5cu8t9T7B6cWTVpbK1pqpEpk8HWBpFjSdyDPt5obvQppZ27ntpM6m0kkwIS66eHeoT6c/dfnARBKtOVJhfqhhazmCadwp9b5OLkiGOGepfgCZgof28FXgaMMKizAnuXJ3dvbMmpjW3rwAyjYqcyCWvg1wkvGT4sGprZy8Cd1x6Jo3T63hgxXbfdVds2c/OwydJq9WDO87us6mlnUdX7kQAEZg1sZYt+zrc19OKWwOpcXqd23vjUEcn42qH+cxGwUQ9AR63s8O9GoU3L6M3u1Bn8VIsIes0UgpGa/X3bj+4CEb5pXqr5eQ6fjDNO8a01HviCIuzVPUmEbkFQFVPiYgUeV6GIhOmjnsruIIVpeRED+UrRxEcd5zV1VUJX5vTppZ2PnXOeMtUpcqjK3fymdmTmD15JL9975B7fvOhE27kVJyigEGncwKYO72O9w5kNJaawOLgzfxe1XyYbfs63PsMW/id3bdTniQYvdSbXWjU4uXzwwzAbj/KL1VoTgrkN/UMpnnHmJZ6Txxh0SUiw7ENtSJyFp7qs1GIyGnAm1gJfFXAM6r6PREZAzwJzAB2Al9S1Xb7nO8CX8VqsvRNVf21Pd4IPIqV4/FL4FsatHUYCsK7c+3sTvPQb97nta0H3AVasPwRkB3ZFPYF8woUn7M6ZbVbdRbj+17a7PMXeENwnfc9b1ItWz0agZK7KGBYuZJk0orWuuPSmaxsPszEkadlFSEES1tY8vwmetIZP4Rj9vES5tvpD5t71OIV9n7ddgTXXk82fTH8GkGhV6jpJs7xg2neMaal3hFHWHwP+BUwTUQeAy4Bbo9xXifwaTsvoxp4S0SWA9cDr6rq/SJyD3AP8B0ROR+4GZgNTAFWiMi5qpoCfgIsBlZhCYvPA8sLuM8hR75FZMHMsVQlE+4C++qW/b4ciGRC3PpI+b74YfZ1Z1ecTCbcDOqEZ4cMlmBwQnAdX4kC2w98SDKBqxGowr0vRrcVDZYr+fjUUWxpO84Ta3a5pcuHVXdkFSFsamn3CQrAFZ5//dxGAJ8w8Pp2vII2rL9EoS1U82lssybVsmx9K880tbJ0zS6W2dn0/SW0clGo6caYeiqTnMJCRBJAHdYCvwDre/ctVT2U6zwAe+fvJPNV2/8UuBZYZI//DHgD+I49/oSqdgIfiMgOYL6I7ARGqupKe04/B67DCItQmlra3RIdYeUzHBqn1/HFxnq3SquqJSDSai3q9107xz2nKplZ+OtG1LjZ3c7O9oEV2yNzM/YcPeUu2qA+n0jCdujOmlTLU2t3u4u2qjIn0MMhTFA5C3LdiBo36S8hwsSRp/FO6zFXKEWZb5yqtl6cHA1nOMwEFhS0T6/b7eux4StvkvSb4XqLk/DXk4rOiemLeSqXcCvUdGNMPZVJTmGhqmkR+c+q+hTwr4Ve3K4j1QScDfxYVVeLyERVbbOv3yYiE+zDp2JpDg6t9li3/Tg4HvZ+i7E0EBoaGgqdbr/Sn+aBuNdyFqmgmSdqEblhbj3PeuzwkRE3btXXNPe+uJmelL9hkesnELJyMxzh5bzHp84Zz8vv7revp24ZcadgYMrWQBbOHMuWtuNuBFJwhxrUZm5fOIN/+m0zPWnllXf3+3wvEnI+ZEJWVa1IpDsuPZPNbcd9vhMnWstLUNCmAtVwg87ppat3ud3o+vK3EKese2+I45Mo1HQzVEw9QykTPo4Z6hUR+TMsP8MJZ1BVj+Q70TYhfUJERgO/EJE5OQ4Pc5prjvGw93sYeBhg3rx5g+bT6I1DMOoPrjcF74JmnqhFpHF6HUuuns3yTW1cNWcyt16cLWBXNR+mJ+30lIBUOpO17OxsHT9BMELIeQ/vLnPbvg5XWCj+HAxHYPSklUfe+oA7Ls2Ez14f2Jn7FuTuNM9t2ONqLEFBcek52fMKhqzed+0cbr24gaaWdtbuPEJXt9VMyatheQkKWu/v2FnU3d7g9I9jOmzHHrfIYi5MpnLvGGrlQOIIiz+xf97lGVNgZtw3UdWjIvIGlq9hv4hMtrWKycAB+7BWYJrntHpgrz1eHzJeshTy5cv3B1fItRzzSHdPmqqkcOO88Cxir/nGsXk7Paud9/SG07r+Bzt72WkKFNzZRhXi82oZT67d5XvNu5DuPXrKNUU5AuPJOxe6c3Ku5dyr03Y1Dew7nh1zYfkqwucVFbIa14SS6zjnNcccWEjpj3wEd+z9sYM3PobeMdSEbJwM7jN7c2ERGQ9024JiOFbl2v8JvADcBtxv/3zePuUF4HER+SGWg/scYI2qpkSkQ0QWAKuBrwD/0Js5DRSFfPny/cEV/EW2TUYCkYLCEU5OY6Gosg+O4AomcBW6s/X6UboCtTwc7aduRA1/H8i1SKWVh37zPm++dzBrTs687ntxc2QSXsKT5BYk1+817gKc6zjntesDTZSKRV/MIcbH0DuGmpCNk8F9GvCfgEuxNoK/BR5U1Y/ynDoZ+Jntt0gAT6nqSyKyEnhKRL6K1dv7RgBV3SwiTwHvAj3AXbYZC+AbZEJnl1Nizu3gF7WQL59XG0gms//gCrmW32QUnlDnFU6okkhYiXPBsg9ewRW2mw2776jfTdCP4lCdFBbNmoAAT67d5et9DbhRWgqhwrRxel2WI3zM6TUcOdFlXyCjMQTpzQIZ936DfwtQ3Iqy/WEOGSo+hv5kqAnZOGaonwMdZHbzt2B10bsx10mq+g7wyZDxw8AVEef8APhByPg6IJe/Y9CI+qIW9OVzQm8iUkfiXivOTmfBzLFUJYTulFKVFO69Zo7r1AZ/4lnUTiluxNXjq3fx8Jvv81F3pqaGkBESR092ZYXsBkmpVWrDEWjBOV0/t56nm1ptYSvMm17Ha1v3k0pnSpJH4TWPeSO8ou4534IcVc21Nwt5VK+MsIVpVfNhX+/0UjGHDAXn71ASsnGExSxVvdDz/HURebtYEyo3+mK3dMJOnZ7RUdpAnOvkyjzOwi5ah0hW7oJja49av5ta2rnln1a5taAg/L4fX72Lv/zFxsxbAsmkMHvySBbOHMtPf7/Tdw3nmFEjqjnqqQSbELjv2jk56yJ9sbGeQx2dvLH9ICu8widGoYFc5brrRtS47xvncw47BsK1tbB5eE19hQiduhE1mcKN5E5gHCiGmvN3KBBHWPxBRBao6ioAEbkY+F1xp1U+9NZuGZZ13Bu7Z9iXMthVzrsQObH6Tna1s3h5nd5OQ6OwcE/Hp+EQFXG1fFOb7/nEkcM4crKbjXuOsXnvcV8inEMiIVwwdRRvekJXF//RzKworTAHvdf/4uBkh+cz3XkXcyeb3BsOHEw0zKW1hR2T77xcVW6dpL8po4dHCp32k11uxd6EEGl6G0iGmvN3KBBHWFwMfEVEnDCWBmCLiGzEyr27oGizKwN6a7cMZh2HhZ0Wep3gl7Kppd3N+u1JWQlil507nqpkwo1ocmo/eZ3ewTpEzvssmDk2S+O4oH4US76Q7US+as5kX77CBfWjPbt+K1w15VnZBUuzetOX4wDHO3vc0hbOPbld8cAtdY4qkhCfKS+YMBdmFgmWB1fwhR+HJRoGP+d8ml2+v4/gZ6iQlfR37zVzIoVOKTpa+3NOQ8GcVQ7EERafL/osypze2C2DX6ZcgsK7kw6aY6K+lGGO5a6eNCve3U91Urh5foO7iHrLVzgLuapmNfVxd9hJy+eRELjpoobQeTvawJNrdzFx5GksmjWBN7YftMN6E9z7hdk894dW1ra0Zxb8AGklK6HN56C3cXb/nzpnfFZCnmPaA7Kyqp0Kud7y4LMm1Vrakx2SG5ZoGPxswjS7oB8kX5BDsMot4Ev6yyWsStHR2l9zMuas0iFO6GzLQExkqBH3y+T9smTqHGWHkAavE0zQc3AWH+cY8OcsJMTKZK4dXu2arbzO0/aTXdx7zRy3ZPa9L25m095jvqqyD/3mffYf/8jKwt7XwTutx3h924FMnwv75/pdR6N8+r75ejWmBTPHIuLXID4+dZTbzvXN9w76BKQCHae6Q7OqnfIm3lwL7+8zTDgHifJTFLLARX2GwaS/OKG6xaY/al4VgjFnlQ5xNAtDPxIVWhlFcCcdlg0cdp0FM8e6dnyHpO3v9Rb3cxazJVfPdgXAoyt3uguct2y54zx1qsoGy1ksuXo2S17Y5LY19dV28oTFpuwyH6kQv4WXqqSg9q7fqbQKcObYEew46BYTYMLI09zfqXMfjk8krfDgm818/VMzs7Kq02l/6LCjlRWyyIVpdnEXuHx/CzfMrUcJz5cZDArZ5feX6agUTWxDFSMsBpDeqNTurt+jWYSFhIYtPHdceiYPvtnsHtM4vY6zJ1pZ2k5xP+9u2CsAHlixnavmTGb5pja3uJ7jPHXm9JGnUmxXT5ofvbrdFRRhJMWu3yJWVNTv3z8cKTAEmD15JBNHnsZr2w7w+OpdPLluNwnwOceTAm9sO2CZ16oS3NhYn1UcEKxmStfPtaOmth1ws6oL6UAXtgBGaQWFOrW9fwthDu9SoBAh2F+mo1I0sQ1VYgkLEZkEzMf6rq9V1X1FnVWF0huV2vmyLHPyGlKaFRIa9eWsHV7tO27tznbe2XMsK7KnbkQNz/2h1S3ElVb47XuH+O17h3yCosZjDrl94QyfIEpreMkNL5ecPY63dhwilVZ++vudkXkl2O/5TusxEnLMrfkUJoisntfWeFdPmoMdnaE9tnccPMH7B08wrDrhyy0J80F4FyYnp+SgLWTC8kqCWkHYAhe8btAs9sCK7a7fqlRNL3F3+f09/6GUy1DKxMngvgNYAryGtZb8g4jcp6o/LfbkKo3eqtTOAuJEKXlDXsGybTuLo/fLGYy3d173OkvrRtTwvRc2ZWVPe88RLL/A7Kmj3PHNbcfzznvcGTUc+jATxvnb9w75nO1exP6XSArjTq9h3/FO614D00raIaJen4TvPWuHuff2m20HWLOzPev+N+09xtTRw7PmG9aX494XN2fNtdDezWHCPKgxegsqlqrpJe4uv1Tnb+gbcTSLPwc+aWdeIyJjgd8DRlgUSF9U6lxRT0+v251ZNAXXvu+Nv7dfcjUJR1As39SWJSicCFTvgvxu23E27jnmRiYFQ2PD8AoK5zpRuO+lcKCj052v95zqpPD9a+bw5NpdofWgapLis+/vPXqKDbuP0pO2zGsJLBOeE0oc1BCCO+Llm9roDggKiM4Mz5VhHdxp33X52Tx2xwIeWLGdt2whGnytFE0vcXb5xnRUmcQRFq1Y5T4cOoDdxZlO5dNblTpX1JPfeWxlTzud1LzCIpEQbl84w01ki/IvL/6jmVl9HZz38C5oaz44zPMb9uYUAoXgjdRKCDSMGcGuIyddX82N86Zx68UNzJpUy40P/t43/ws9+R7B5kM3z5/GnCmjaD/Zxd6jp1jq8dc8u77V/Z0GBfJVcyazsvlwtvkrJDM8l50+StA3Tq/j7ivPDe1JUe6ml3KfvyGbOMJiD7BaRJ4n0+lujYh8G0BVf1jE+ZU8hUR99DVCJCrqKZkQn9PXa25Rz/48lVaeatrtq9UUZP6MOhrGnk7zoRNZryUENzLp/l9u4aV3rCztqkQm3PaNbQdY6zH99AbB8o8s/tRZbu9pb/5B4/Q6/vt1H+dvnttISi2N4qaLGlxHvdcsl0qlmTp6uJv30dTS7taSSiQkKyosWGF39uSRWVpM0AwI2Q2PnAABxzdSTjkSBkMYcYTF+/Y/h+ftn7X9P53yotBQwr5GiERF43i7zDk+BqeKbDqgPhw50Z11XS9rdrb77PwOjt/i3bbjPLba35MirUrt8GruuvxsFswcy00P/Z4Q600skgm4+aJMwqCTJHego5OHfvM+42qHuVrC12wNaPbkka62lEwIqZSnz7cn7Nb9fbud/9T1f3g1Jq924vQGdx39ZEx53qS7oA/CCRBwAgPCyrA4BDcBJmPZUIrEScr7/kBMpBzJF/URrMnUlwiRXMLG2TU7O+2EwO0LZ/D+oRM5TUSfPX8i42qH8Yy90851bDJp9bYO8xV4W482Tq/jposaeNzOPi6UVBpmTxlF4/Q67v/lFp7bsIcDHZ2RJjMBfrfjkOtjSQfLnCssXWOZ5ZwdvFPGXcGXre71Q3iTGhPAJeeMczUFb02qYN8Prw8CwkurQ7RAMBnLhlIlTjTUPOCvgOne44d6TSjIHfURFlmT69hl61tD24c65BM2m/ZmQkxTCg+92ZxzsRZg5rjTqR1ezZ/8G6t/dY4UCb40bxoHO8JDY++71qoe7+y0r59bz7L1rTnNXVVJvwbgZfmmNnYdPuELzY3Cyr7O3JP3epajXn2/s+BnFpZn0dTSzt6jp6iy61cFy7F4y6N0dftNTk73QMcM5mh5uf42cjnZc20qhqIGMhTvuVSIY4Z6DCsiaiNWEq/BJpe9OfilD4arOl3pZk8Zxb0vbHI7yD3d1MrSr2XvJvOFIwZdrvl29YqV2SxY/tpcydQJgUMdnby+7UDWa/NnWKai4OJ3+8IZPPTbZnchTwp84cIpfHDohFsravPeY6Hd88aeXsOvNheWyiNYRQ23tB2nJ2UVFZzbMJq3W4/5iibm8xE0tbRzy8Mr6U4pyaRw0/yGrAxqb3mUNFbYq5OTMqw6we0LZ/DIWx/4ak7li47K5wwPMhQ1kKF4z6VEHGFxUFVfKPpMypSoqI+wL71z3C0Pr3QXyGRCfH6FsMqxuSqaOjhNgII5Afnw7sxz8fK7+0PH5zb4k8g6u9M8+Jv3eX3rAd91zxx/BpNGnsaLb+/lndZjvLHtAEsXL+T6ufU8sGK7L/Lqhbf3cunZ49h5+GTW+yXF+p2v3dme8UtgLdJOfSinMVNTSztVCX/RxHw702XrW93PxomCCh7nNTn9bsehrFIsm9uOZ9Wc8pJLIDROr2PJ1bNZvqmNq+ZMjlwMSzVxr5gMxXsuJeIIi++JyCPAq4Brh1DVZ4s2qwogfqirkpRM8pnXeeq1jVclhBvnTWP2lFGsaj7MK5v3sbntOFfNmcytF1uVX+/9wmzXbwGWRiBi+QH6Qi6t48E3m/nYpFpfTsZrWw9kOdZ3HPiQHQc+dJ93pZRl61v5f/7dx7n7ynNZ+f5hXz2n379/mI9NqmXLvg6CnDOxlnf2HLO649m/F68w2HXkpK+h1JTRw7NCaqN2pkENLTtI1sIb9uqWmgc35NYbDht0hnuz8oPXb2ppdz/ztTuPZDWn8lYgDgqc3ppoSsm0k2suJtlvcIkjLP4jcB5QTcYMpYARFnlwFgZvueoFM8dSnRSfZnHJWWPZvr+DhjEjmDJ6OH/93EZUcXs+KNbiGoxCAtwd+a0XN9gF/jKvCfCFC6bw3Ia9Rb3P4IKets0vYQ2OvByyfSCN07PrWKXSytzpdXxw+ETWYnz93Hqun1uftajkaygVVSHWex1vm9bqqgSzp4xyBXfQt+HdEHSc6vYJ71mTat1FPcwZDplGUssiSrCHaZlBP5i3JW5v27eWimkn31xMmPHgEkdYXKiqHy/6TMqUfLuysC/A0sULefA37/Pa1gO+hj9WbaVM2Kpj83YERhRPrt3FrEm17D16ioRHS0krPN8LQXFh/Sg27jmWU6PIhQhcft4Ejp3sCg3DdXht2wHu/+UWNrcd56PulO81xYqKcoRC3YgaNu095u7Ew8x/3oU2IVao7xxPiRKn0ZGqIiJ0nOoOXZyWfi3jW/KW+3DMXcG6UJBZqNfuPAKQtx1r1Hiu3XOYH8wJx/U63Qsx0SyLKBUzGMQxM1Vqsl8paXdRxBEWq0TkfFV9t+izKTPi7MqCX4Bl61uZOno4E2qHZfo7RCBiRRpt2nuMZ3L4IzbtPcZND/2eVNo6x4kKyue4jmJYVYJ50+tyLvS5SCusiPBxeOlJac6IJ6e/hKOdOTt0Jzs9rBFUVTLhJtxt2dfBxj3H3OOdRkeOeeqfbCc0+Bcn599f/WKj73fuLKjLPFnfwYW/qzvN3zy/ibQdRXXvF8Kj4HJldUftnnMJkkJNNE4EnrdUTFQZk4FiqJqZSkm7y0UcYXEpcJuIfIDlsxBitFMVkWnAz4FJWOarh1X170VkDPAkMAPYCXxJVdvtc74LfBVIAd9U1V/b443Ao8Bw4JfAtzTfSjsAxNkJeb8A3rpEVQlxF7aoG5lnJ6XderEVkfNfn9oQ6vT1+iS8v5Xeaga9FRJe+uPDcQohNrW088CK7b4Maaf3hvPlAsusk7L7i6fTSppM2OzyTW2+ZlCOwHBIhCyUYfcQVlvK+xkjmXaxXT1pNu89Frr45xIKUbvnfOfENdGEdVF0yqkM5iI1VM1M5eK4L2Zb1R7gv6rqehGpBZpE5BXgduBVVb1fRO4B7gG+IyLnAzcDs4EpwAoROVdVU8BPgMXAKixh8XlgeS/n1W/E2Ql5vwDeukSptHLT/GlMHT3cZ+8Gy6z0bttx1rW086UHf88VH5vInZedxeJPncVf/mKje+2qhC0cRPI2EioFRg+v4uipntjHt5/sylrYEkJWn/Bn17dm5XWkbZ9PAnX7Z3id0UGCDnmwmg49s263G0b7pXnT2LG/wxWmYYX/wirdhi3+vTU75DLDxDXReBMOIWNeu74E+mZUqpkpF+WiUcURFr1ahVS1DWizH3eIyBZgKlZtqUX2YT8D3gC+Y48/oaqdwAcisgOYLyI7gZGquhJARH4OXEcJCAuvIHAquTrjweMcU8oyT6vMqA5om/ce82VKv/zufl7bdoCb5k3j65+a6RMsyze1Mfb0mqI7sfuDXILiE7afxPG3OL0zVjUf9u2AJ9QOY9qYEb78CSW75DnAuRPO4L0DH5JKW93/HNPVht1HWRHs1a3wX5/awOJPneVmxDdOr2Pp4oXuor5tXwePe4IMRPBFIdWNqGHD7qPu61V2Fdwgj6/elaUZDeQCGdR2vdFkhoGnXDSqOMLiX8m0NTgNOBPYhqUBxEJEZgCfBFYDE21Bgqq2icgE+7CpWJqDQ6s91m0/Do6Hvc9iLA2EhoaGuNPrE0EHZ64vf5w/CqfkeJAeOxoqmRCuOM/6lTk2fAmpghpk7IhqDp/MXRdqsBBggy0cBbhoRh3XfbLejTLyLur7jney73gnVQnc/AmAp9ftzir1UVOVcPMdumxT1FVzJjOhdhjVSXHDax12Hj7pam5egeF8Tg+s2O67/uwplvPc+ewTHg1PsLLewzQKb9vXrkEwO5TL4jSUKAeNKk5tKF8klIjMBe6M+wYicgawDLhbVY/nWNjCXtAc42FzfRh4GGDevHkDZpeJE5LpkMskUTeihifX7opsRASW+erld/fz6tYDbikLieG+OfZRt69ceSmhgcdrd7bzh91HrUzsiD+XVBo3fwLg/EB1WBG46aIGtu3PlGN3ivuBZc66aEYdo0fUsG7nEY54BKkTXRb8/II9PG66qMFX4RbUV2sqTKt4dn2rL6TYW1cL+icqJs41ymFxMpQWBffgtn0QF8U5VkSqsQTFY54kvv0iMtnWKiYDTg2JVmCa5/R6YK89Xh8yXjIEbY51I2piaRpOy84n1+4ilc6WgAl7oQxb4J2w2iRKMpkglU7nTL4rMLF7UFEy/TOi5GAyga+a7E0XNfB2a8af80dnj2P5pjZuXziDzW3HfcX9wPqdrtnZ7pY78TKsKhH6+TnahqOhzJpUy70vbHKvm0gIn541gXG1w0JNjI+v3sUTazJmrGRCuO/aOZF5FL2tTFwOkTWG8iNOIcFve54mgLnAwRjnCfDPwJZAz4sXgNuA++2fz3vGHxeRH2I5uM8B1qhqSkQ6RGQBlhnrK8A/5Hv/gSSo1gfLXyxb3xqqTXjLfoShmlnInHBYL+m0ctGMOs6ZWMuBjs4sO/xgkExAY0MdzYdOZHXK6wvB+09rpprskqtns2nvMebPqKOzJ82Z4053fTi/fe8QX//UTNbuPBJa2FDt/xytqzopnD2xlnUt7aHRKbde3OAKjR+/vsPfR0RhxZb91IRoFY75yftx33TRNPda0PuomP6sbmwwRBFHs/D2rejB8mEsi3HeJcB/ADaKyAZ77C+xhMRTIvJVYBdwI4CqbhaRp4B37fe5y46EAvgGmdDZ5QyicztKxQ+q9VUJK0tbgWeaWrN2mg/95v2cgsIhIYJgFcYLdmxTrN3x2p3tJBJCItH30h59pbGhjg2txwquURUkAa4BsqYqwZljT/dlijtr9EfdaV+EWE1VIutam9uOs+Tq2fztr7f6zE0OCkwZdRqzp4zizsvOAixzUb7olAUzx1KVsHwfYRVuvZ/3qubDpD1qUlUi2/ndm6iYQqobDxaVUIbEkEdYiEgSOENV/7zQC6vqW0SX1rki4pwfAD8IGV8HzCl0Dv1NXBW/cXodN86b5vZ0CHZWa2pp59Ut2UlrCYExZ9RwuMPakVdXJbjs3PEI1o41imDOgGNaGQz/RGdPus+CIim4YbKzp4zizHGn8/zb8SyP3T1pJo48DfD4L7CCAXKVTN9z9CP2HP2IRbMmcOvFDfEdwGLpPJIQkiK+CrdevM2REuI3PznEdTzn0iS81Y1LYZHtrVnMmNNKj0hhISJVqtpjO7QNFGYmcHo6RJVtiFrID9mCQoCeVLpXpiUlXiXZ/iaZEM4cd3pWg6Szx5/OjoPZbVrDEPzlSt5uPRbacCmKREK487KzGFGTdE1Rb9rlw+Pw07ea3czwqM52DquaD9OTctq3Kp8+fwIXThsdukjHFQT5HM9xNIm+OK/7ezffW7OYMaeVHrk0izVY/okNIvIC8DTgfuOHYtXZYHx6VrtOD2GLg+PQPtjRGRq66RUgg7Xg94W6EdWh+R5zpo7i/YO5u/Y59OWWBbjivAm8snkfb2zP7VYTLP/EJ6aN9iXR7Th4gr/99basGlBhOOVFnAS317bu587LzipqBFIxNYli7OZ7m3BWLolqQ4k4PosxwGHg02RCWZUhWHXWEQDL1rfyTFOrr11nlMDwmp5u+adVrommKinccnEDJzt7yiKhLg6HIxzaL77TVrAQmDRyGAc/7CQdEiUWxrCqBD3pdGTfjYtmZHpgJAQuOXuc2/1u8c/X+c5zMsPz7WYbp9dx2bnjecU+tydNaDBDfxLVJ2UwtYBc9Danw+SClB65hMUEOxJqE9n5DmW25+0/nMJxPanCvlSrmg9btYNsUill6ujhvBzSEa7GU8K8XHCq44YRHE9Ifs3JqsCbOX7y6OG0HT3l9toO0hnhJxk9opq/+Nx5zJpUyy3/tIrunjRVSX+b1EWzJviEheAvbe7Ng/GWBF/VfJhjgcZGcc1dvaWYi2ixdvO9FWYmF6S0yCUsksAZFJAUN1QI+1LlsvU2tbSz5+gpEp4FNSHQcaqbTXuy7fHlJiggWyDkImrBjyKtsKf9lPv8U+eM4y1Ph7pcXDRjDLMm1Wbe2PvTpv1kV6ZSL1Z7Vqe0udc0k9aM+QoRd8PgkEzIgNRXKtYi2p+CyEQyVR4SVbxVRNaratk6t+fNm6fr1q0r2vW9XwYgVlOa4OLm7ZA31KhOWqHAvbn9hMCsieFd9III1iL+6fMmsGLLfvczmD+jjstmTXBrPnnDb5N2gUYnX8Ip/ui9JmQLvKTAf7vu41ml04caJpKpvBGRJlWdFxzPpVkUW6Mua7zFAR9Ysd0t+dDZneZvntuIkllsoiqd5hMUhSyK5YZiJbht39/B2gJLoqc1uzsfEFrORIGetFr9NTx/0U5+yrBq6zPyJv05uSpO+fiaqoT7+Xo1i2B5+bTCXz+30U3ue2Lxwn5dJMtlt24imSqTXMIiNBfCkCHotAY758FeQTq702zacyxv34oo0grNh+KFnJYbPSllfUs72z19ufuDqPpXachSBRTcSKZgG1jHb3HD3HrmTBnlFv9LJoR7r7FSfrwFAcGf29KdUh76zfs8/JWsDZqPfObLKO21lHfrJpKpMokUFqp6ZCAnUo44PZSjUOCd1mNUJ4XzJuXWEObPqGPUiBo3ssYhynFbCRSiMSXINICPoioh/PHHJ/P8hr2xBXNCrEzqkcOqePi3zaitFXjLdnuzr9Np5cm1Vn0nf0FAmDzqNPYc/cgd23/8I4LEFQBBU871Hg211HfrJpKpMim4kKAhQ9y8ga6UsjXPwrhh91EunDa6P6ZVkVzziSm89E4b6bSSSFg7+KAfYdGsCfxq8z63nlZUtJVjcqqyC/kBPLpyJ6qWhvEnl5xJ7fBq93g3+7o7TRoikwRnTxnlExY3XeQvkx8UADfkEABBU45AUXfr/W3iMpFMlYcRFn1gjt3PIA75BEtXSgu23Q8lXnqnjbSqVdn1vAlZGpgCR092RfqHvCTEWszOmVjLrEm1PPib991SIOm08shbH5BWpSqZ4IuN9dwwt57H7ljAAyu2Z1WvdSoD11QluPOys1g0awLLN7Uxe/JIt9NflABw/CFxempfP7ee6+fWF2W3bhzSvaNcfEj9hREWBRCMt9979FTJ9oioNDImH+Xoya5Q4dvUYhVUDDZBCpJSy8G9rqWdJ9ft9hVoTAOazjRMWrp6F8/aiZd3X3kuq5sPu6HNNVUJ7v3CbF/0U+N0q296WHRc3YganwC4Ya4liJ5d35p1P1GmnGIsSlEO6aG2GBbCUBSwRljEJCreviqZsOoDFZg78JnzJ/La1gNl0Tu7lEgrNB8Od/qnFJIhv04BGsaMYFf7SZ9pKq2EChYNPPb22l66eCHL1rciENmKdJmnIVJXd9rXQtUbVu0syMts39ezgWoAA2XKicob6o/eGpUqbIZixJcRFjHx/nFAptLrFR+bwGtbD9BTYCGns8adzutDO7ex1zjFFsNIe5Iep4w6jdajH6FAy5GTWcd6w2WjSODP5o5T6O+ZpoymYEVIZUqXt5/s8hUoLKTLYn/jXcyDWsyPX9/Rp8Ww0nfeQzHiywiLmCyYOdZn4nAWkXG1w3x9CuKysvlwWXWvKzWiFnqn9lNNVYKxZwyj9Wh2RNKF9aNYOHOsG/2Ui4/Xj+KmixrcRTzfgudUGnbmeMXHJvLmewcjF5XedlnsK2GL+V2Xn01TSzs/fn1Hlsms0MWw0nfeQzHiywiLPDi7r45T3T7b9jy7f/Ohjs5e+S3eCSnzMVSJExbrJSnWIhxWNDBBpkjgtn0dvlarDnOmjqJ2eHWsqr4TR57GfS9tzlq8w0wsQa0imYDxtcOyTE9ecnVZLOYiG6XRRFUiKHQOQ2HnPdQivoywyIF39xVkbUt7n0qIl1v58WIya1It2/d3xC59kgZmjjud06qtzGrI1HWqqU5w1ZzJbiCCt6SKYPW72LTnGCc6e3y1urxYXe8ymmNwUd22r8Pnh3jsjgUAPLBiu69YpCIsXbMrbx/2oNAZiEU2bDEPK3+er6dHFENx513pGGGRA++XJ1j7xCz2/cfWfR0FeW9U4ZG3PuDqCyb7yrsrMH/GGFcTEBGfAJoy2kqay9VQqSZpZWh7a3t5W6zWjajxZW53dqe578XNbNnX4TZCSmAJpXSONqsQbdcfiEU26n36U1ANtZ13pWOERQ58zY6SCVLp9KD3uK5EeiN3U2kN7QPidMVTQAIS/ciJ7P7bDkmxzFM3XdTArRf7k+m8i+qy9a2+zG3Fn6Tn9Mq4as5k7ntpc86Fd1XzYV/UlCNQci2y/RlhFHwfow0YcmGERQ68X549R0/xxJpdgz2liidfhJLYJiLnZxiOSaoqaZmZnLX9VHcq8roptUqzbN67iV2HT1A7vNrXv8Jx/j7T1Jpz7jVV/l4Zyze1cdWcyaELb92IGvde0/bzXAxEhJHRBgxRFE1YiMhPgauBA6o6xx4bAzwJzAB2Al9S1Xb7te8CXwVSwDdV9df2eCPwKDAc+CXwLY2qq14EnC/P46t3kRBBVX3tAg39S3/+Tp1rRQUgjKhJcrIr5Tu+J608+Gaz77jT7BarTtOrIGK/xxUfm+i2VW1qaXfNYWt3HmHWpNqsRbj9ZJc7t4RYzx3CNIhSjDCq5FwKg59EEa/9KPD5wNg9wKuqeg7wqv0cETkfuBmYbZ/zv0UkaZ/zE2AxcI79L3jNouN88Z1yExfNqKNhzIiBnkbFM2nksLzHONuEfNFnilXZNq3WOVVOXQ4Pp7qiNQ0vnbaJaMHMsSTEf52LZtSRTAgKvPlepu93VLSRF8fMmbRDfb2d+b78yCr+9tfbuOmhlTy+elfW8bl8Ck74a1NLccvHOPP8u5e38eVHVhX9/QyDS9E0C1V9U0RmBIavBRbZj38GvAF8xx5/QlU7gQ9EZAcwX0R2AiNVdSWAiPwcuA5YXqx5h+FLyFNTw6lY7DveGVtjC5qhJo0c5mvF6kWBOy49k+OdPTwRaGSUTAjpdO4mTCK4O+c7Lj3Tzc8YVp3g3Im1NLW0Z+3244SORvkIvL6MnrSy5PlNrmaSz6cwkMlwpajpGIrHQPssJqpqG4CqtonIBHt8KrDKc1yrPdZtPw6OhyIii7G0EBoaGqIOKxjni+98gQ3Fw818tn9WJYXLZ03gta373SRG8R5oUzeiJlJYJIDa4dXc88cfc3tTOGGvty+cwSNvfeBzWge55sIpbsjsoyt3ApaQWXL1bGZNqnUT8YKZ3nGcxWE+ggUzx/r6a6RVYzm/YWAX8KGQS2HIUCoO7rCufJpjPBRVfRh4GKy2qv0xMccmu+Tq2byx7UBoIpih/3EysRfNmuBWc/3pW800HzoRaoKKKgHv5F7Ujajhx6/vYMHMsTx550JfElxUBn5CLEHxq837eOHtvSTEcphbf5hK+8muUKHgteP3Jk+hcXod9107xyfU4i7EA7mAm+ipocVAC4v9IjLZ1iomAwfs8VZgmue4emCvPV4fMj4geFV6EUHCRJchJzVJcau0Fkpa4ZV39/Oq3RI1l58i7CUBLj0nE8YaLG3hzrEq4av7VZWwelE4JcFfeHuv/Zq6DulkQkLrRfWXGejWixuYNak2dCHO5VQe6AXcRE8NHQZaWLwA3Abcb/983jP+uIj8EJiC5cheo6opEekQkQXAauArwD8M1GSDvgpD4fRWUHgJa4kah+qkcPeV5/o+x67uNA+s2M5Vcya7YbHBXhWqMGX08KxEtWQyYWkhKTt2N4T+NAOFLcRxhJFZwA3FoJihs0uxnNnjRKQV+B6WkHhKRL4K7AJuBFDVzSLyFPAu0APcpapOqMo3yITOLmcAndv54t4NpYtgmbCcul5O2HMaeOu9Q/z2vUNuwUFvr4rulGZpDcFcGwVSqXBB0J9moHIJnzUMDYoZDXVLxEtXRBz/A+AHIePrgDn9OLVYZMJlB/qdDbkQIJkURlQnOf5RT/RxAm9sP8iKLfvdci1OBJWbCGcvuM+ut2Io0t6TPTg79aaWdl/pj0IinAolSoMoVBiZPAhDf1EqDu6Sw9nBGQaf6WNGMHpENQtnjqV2eLW7QN788EpbE4CECN0Bk1dPyt9/JGjKsgRPgqfX7aY7lQmfjdIa+hLhVChRGkQhwsgrcKoSwo3zpkU2bDIY8mGERQR1I2qMVlEi7G4/ye522La/w91hP756FymPcFg0awIfHDrBjgMfWgNqFfMDKzHPKe6XiWaynN/TxoxwTUsOuXbsvRUEhe7wc2kQcefg89WklMdX72JZoBtfMeZuqEyMsIhg817Tb6JUcIS2NxP6b57b6JqNUmkraqomKdRUJUilrAXW2/va+ekt7nf3lecC8My63a4j3smf6M9FsTcRUv1hzgrmBymF+zkqveOdIT5GWERglIricfb409lxMLuPdlhxwE/Uj2Lj3uOk00oymfDkRmRftyel3HzxNKaOHp5zgQ0W97tx3jQeX21rF6q+Gk1eCt1hO8fvOXqqV07pvpqzHIGzbH0rzzS1ukK0EKe7cagbHIywiGDOlFGDPYWKJAFc+bGJ7DjYnPXaeRNr2eJJrptUO4yNe4+5ZeHT6TTb9nWw5+gpkknxdS4Ey0E9Z8oot8R4cHGPKu53/dz60CxsL4XusH3+gmSCKtsENtCZzo7AucHOGSlUSzFZ2gYHIywieH3bgfwHGQpGEnC8MzuKSYBpY0b4hMW+Dn/5jp40blZzVUL47PkT2X/8I95pPeZmfDtaQdjinstpvOTq2Ty5dhcTRp7mvp9X2BS6w/Yen0qluXl+A1PyaDx9JarVa1+zyU2WtgGMsAilqaWd17YaYVEMUmn4Q0h1UgVe3bI/ZyFBAddBnUorF04bzYKZY/nyI6t8nex+/PoONuw+6trqncV9wcyxVCUkK5eiqaWde1/cbEe/HeM32w5w7zVzfFnfS66e7UvO23P0FI+v3hXao7qppZ29R0/5tIk4UUh9cSQHheOSq2ezee8xnl63m5609snfYJL8DGCERSirmg+TNqFQRSOqjlOuZG8RuPOPZvLoyp1ZJpHr59YjwOwpo7jvpc1ZBR+9gsHKofBnYK9qPuzrnd2dUpZvasvqR/3YHQt4dn0rT6/b7VavFazoqS821nPDXKsyjbdEzKc/NpGv2z0uchG22IcJoih8kU89aZY8v8kVrGD8DYa+Y4RFCAtmjs3Zic3QNwr5tQrWYn/ftXO49eIGPjN7EsvWtyLAtn0dvt3/wY7OLEEhWA7sxul1/Pj1HW7ujHfxrBtR44bVglUm5Ko5k1m784hPMDVOr7MaIHm67ynW4rx09S6eXd/KDXPrfSViXt96gK9fdpbvnvJlZnd1p31FBONoBF7fgngKHjq/A+NvMPQVIyxC2Lavw+RYDCBnTziD5gMfEkyBFOAz509kXO0wZk2qdcefXd9KV0/aVwW2qzvNq1sP+ASFU87jenvH33Eq04Nb7edupn7aMk19+rwJriYQVsjPWZS9hQed63X3pG3fibiVbNNp9e3ooxLlgot9WrWgCCSvb8EbIpxMZrQeo1UY+oIRFiH89HcfDPYUypbhVQlOxch8t/PlqEoKp9ckQ7UNx4+RVnhq7S5uuqjB3ck7VWCTCavmk3gWaID5M+q4bNYE30K/MtCtbmXzYWqHV9NlL/LptDKhdph7fJit3rsod5zqZmXzYTbvPYaqtXufM2UUB8/r5LWtB9C0UlPt39HnSpQLW+y9fph8JinvfKMq1hoMvcUIiwBNLe2872QBGwomjqAAmFY3gs6eFAc/7GLjnmORJcYdP0ZPGh5bvYuaKn8Yqjfx7t4XNrnJdX/YfZTvXPUx30I5ceRpwDHf87oRNYhtc1Rg6Zpd1A6rcsuKhC20zpg3NPaLjfXMsX0mrtZwcUOWYztXotxdl5+dtdg7gqPQpDjjlDb0N8XswV2WrGo+bBLyBoCWIyfZd7yTlMf+72Xq6NNCq4CnUmlunDeNm+c3uOYlsBbXRbMmuM+7U+oWCHR6Ui+aNYGqpHXRqqSwaNYE7ntps+urACtb/ME3m/lfgf7XQbwaQk8qzdTRw2k/2ZUJl02rr8y5Mw+nkdYtFzf4+mk72oPTx7pxeh13XX6275pRvbz7k4Hq320oP4xmEWDBzLFugxvDwBH2Ow8GGAhWfaeDHZ2+NquOb+KPzhnvPx94fPUun7P4vmvmuFFG+YpF9qSVv35uI4Cb6OfgrR2WVuv5rEm1kQlsXl9FQiyHvZMol0t7GMikOFPaw5ALIywCGOd2PMafUcPpw6rYefhkv1xvRHWSD7tS7vO2Yx9lRaQplsYQbG2bVvioO80Hh06QFMt0lUzAoY5O/ua5ja4pq8sOgfUmp1UlE65jOoy0WomATra3Q/vJLjcnJGE/z5XA5tVE0qoseX4TT965kLsuP9uN0gpzaA9kUlww8XDZ+lbj9zC4GGER4P97ZdtgT6EsOPhhFwc/DK+h1Bu8ggL8fSfissPja0qlyRIqqvD27qM0tbRnFj/NVKGNFBiBiCawdvzDqrN3/FG+AktjDY+Syqc9DJT/wTuPZEJ4pqmVnpTRMgwWRlgEOOYJrzQMHsVQ7hRLgLyx/SBLv2YV2HMc4lEOdiAroglwS4QEixJ6CeZT3HftHMskFoiSKpWSGt557D16iqV24mHc8F1TyryyMcIiwJjTa9h3vDP/gYayYero09hz9CP3uWNieaapNe+5USXLo4oSel8P2v9vvbghMqS1VKKXvF0B8xVX9GL8HZWPERYemlrajaAoYywHOG6VWoe2Yx/5jxPYsb/DV+LDIQF8vH4UG/ccI62gESXL8xUWfHZ9a1ZtKmchLodFtFBtx5Qyr3yMsPDghFoaio/rHO6HyDOvvyEoKCD7+mmFNTuzQ0OTAv/tuo8za1Ktrzhh2K46l5+hqaWdp9ftdufk9OEoNwoRbKaUeeVjhIWHgx1Gq+gvxpxew5wpI3nzvUOhr7tO5QIExccm1bJ1X0eWf0EDPx0Skt9R7pQUcSrYOotjvl11vsinHltCCfDFxsovtVEqfhdD8SgbYSEinwf+HkgCj6jq/f39HkcjOqQZCudLjfU88lbusin5FvGJI4e5ZkHB6sEdV7YIcPP8BnYfOclb7x1yz3PKjKTJ5GfcGVIVNs6uOlfkk3eXfYMnebCSKRcTm6F3lIWwEJEk8GPgM0ArsFZEXlDVd/vzfcJME4bC+fqnZlI7vNqXGV0oyYTwzSvOdWskOZVUowiGvnoXaW/12GBf7mLsgs0u21CJlIWwAOYDO1S1GUBEngCuBfpVWJQKAkwJRPAMNrnyEBwSAv/9uo9z68UNNLW0M6w6QVd32r2Ad60XsQRCKqW+6wZLkmfVSOpOk0gId1x6Jj/9faa3xb1fsJr9HOjoZELtMF9NpsFYuM0u21BplIuwmArs9jxvBS4OHiQii4HFAA0NDcGXSxohY2OvqU7wo1vm8n9W7uS5DXuBcPt7UixTy4nOHp7fsDe3WUcyeQMAVQlheE2SWRNrWbuz3df7wPEnVNv1k8bbi++2fR0s39TG2NNrOHyii9mTR9LR2cPBjk7G1Q7zlcEO7q4Bd9F3dvTBsbDdfq5Kqp+ZPSmWEDALt8HQd0TLoMOPiNwIfE5V77Cf/wdgvqr+adQ58+bN03Xr1hX0PjPu+dc+zdNLdVL45LTRPtPWdZ+YwuETXVw1ZzIAT67dxbCqBGdPrHVNJrl6KAMsW9/KoZDF2YmLP9TR6RafWzhzLMc7exBwi+6FLa7OufmOMxgMlY+INKnqvKzxMhEWC4F7VfVz9vPvAqjq/4g6pzfCAsIFRv3o0zhz/BnuTvq9/R102ouxU8oasnfOjdPreHz1LjfLN1iMzmAwGEqNchcWVcB24ApgD7AWuFVVN0ed01thYTAYDEOZKGFRFj4LVe0Rkf8M/BordPanuQSFwWAwGPqXshAWAKr6S+CXgz0Pg8FgGIqYTnkGg8FgyIsRFgaDwWDIixEWBoPBYMiLERYGg8FgyEtZhM72BhE5CLT08vRxQHi51MrC3GdlYe6zshis+5yuquODgxUrLPqCiKwLizOuNMx9VhbmPiuLUrtPY4YyGAwGQ16MsDAYDAZDXoywCOfhwZ7AAGHus7Iw91lZlNR9Gp+FwWAwGPJiNAuDwWAw5MUIC4PBYDDkxQgLDyLyeRHZJiI7ROSewZ5PoYjIT0XkgIhs8oyNEZFXROQ9+2ed57Xv2ve6TUQ+5xlvFJGN9ms/EhEJvtdgIiLTROR1EdkiIptF5Fv2eEXdq4icJiJrRORt+z6/b49X1H06iEhSRP4gIi/ZzyvuPkVkpz2/DSKyzh4rj/tUVfPP8tskgfeBmUAN8DZw/mDPq8B7+BQwF9jkGft/gXvsx/cA/9N+fL59j8OAM+17T9qvrQEWYnVXXQ5cNdj3FrjPycBc+3EtVq+T8yvtXu05nWE/rgZWAwsq7T499/tt4HHgpQr+290JjAuMlcV9Gs0iw3xgh6o2q2oX8ARw7SDPqSBU9U3gSGD4WuBn9uOfAdd5xp9Q1U5V/QDYAcwXkcnASFVdqdZf5c8955QEqtqmquvtxx3AFqw+7RV1r2rxof202v6nVNh9AohIPfBvgUc8wxV3nxGUxX0aYZFhKrDb87zVHit3JqpqG1iLLDDBHo+636n24+B4SSIiM4BPYu26K+5ebdPMBuAA8IqqVuR9Ag8AfwGkPWOVeJ8KvCwiTSKy2B4ri/ssm+ZHA0CYza+S44qj7rdsfg8icgawDLhbVY/nMNuW7b2qagr4hIiMBn4hInNyHF6W9ykiVwMHVLVJRBbFOSVkrOTv0+YSVd0rIhOAV0Rka45jS+o+jWaRoRWY5nleD+wdpLn0J/tttRX75wF7POp+W+3HwfGSQkSqsQTFY6r6rD1ckfcKoKpHgTeAz1N593kJcI2I7MQy/35aRP4vlXefqOpe++cB4BdY5u+yuE8jLDKsBc4RkTNFpAa4GXhhkOfUH7wA3GY/vg143jN+s4gME5EzgXOANbYa3CEiC+wIi694zikJ7Hn9M7BFVX/oeami7lVExtsaBSIyHLgS2EqF3aeqfldV61V1Btb37jVV/fdU2H2KyOkiUus8Bj4LbKJc7nOwowNK6R/wx1iRNe8DfzXY8+nF/JcCbUA31u7jq8BY4FXgPfvnGM/xf2Xf6zY80RTAPKw/4veBf8TO9C+Vf8ClWGr3O8AG+98fV9q9AhcAf7DvcxOwxB6vqPsM3PMiMtFQFXWfWJGWb9v/NjtrTLncpyn3YTAYDIa8GDOUwWAwGPJihIXBYDAY8mKEhcFgMBjyYoSFwWAwGPJihIXBYDAY8mKEhWFAEJGUXWnzbRFZLyL/xh6fIiLPRJzzhogMeMN6EVnkzK8frvX7Ao+/XUSmeJ7vFJFxIcddI4NcGbkvcwjep6H0MeU+DAPFKVX9BIBdavl/AJepldH6xcGcWAiLgA+Bghb6MFS1UKFzO1b8fM6MXFV9gX5OGhWRpFrlRWLRxzncToz7NJQORrMwDAYjgXawCgGK3X9DRIaLyBMi8o6IPAkMd04Qkc+KyEpbK3nargvl7Ly/b49vFJHzgm8mIqtFZLbn+Rt2P4AxIvKc/X6rROQCuzDh14H/YmtCf2RnUi8TkbX2v0vs61xmH7NBrD4MtSHv/aH9c5H9vs+IyFYReUwCxaxE5ItYyVaP2dd07v9Pg/dn78z/0X58o4hssrW2N0PmsEhE3hSRX4jIuyLyoIgknPmJyH0ishpYKCL/XqweGhtE5CERSdrHfd6ew9si8mrIHB4Vq6/C70Wk2b4X5/3/wp772yJyf477NJQyg53VaP4NjX9ACivTeitwDGi0x2dg99/A6mfwU/vxBUAP1qIyDngTON1+7Ttkspl3An9qP/5PwCMh7/1fgO/bjycD2+3H/wB8z378aWCD/fhe4M885z8OXGo/bsAqMwLwIlZhOIAzgKqQ9/7Q/rnIvu96rE3aSueagePfAOZ5nofeH9bO/B/txxuBqfbj0SHXXAR8hJVBnAReAb5ov6bAl+zHH7Pvqdp+/r+xSkmMx6p+eqY9PiZkDo8CT9v3dj5WuX+Aq7A0tBGBc333af6V/j+jWRgGilOq+glVPQ+rGN7PgztrrOZN/xdAVd/BKnMBVsOf84HfiVWu+zZguuc8p5BgE5bwCfIUcKP9+EtYixpYZUP+j/1+rwFjRWRUyPlXAv9ov/cLwEhbi/gd8EMR+SbWIt2T6xeAVdenVVXTWIIzbK5h5Lu/3wGPisjXsIRB1Hs3q2VmWop172AJ8WX24yuARmCtfa9XYAmYBcCbavVUQFWDPVMcnlPVtKq+C0y0x64E/kVVT+Y511DiGJ+FYcBR1ZW203Z82MshY4LVy+GWiEt22j9ThPxNq+oeETksIhcANwF3eq4b5/0TwEJVPRUYv19E/hWrLtUqEblSVXOVnO70PA6da57zou7v6yJyMVbzoA0i8glVPRw8LOL5R5rxUwjwM1X9rvdAEbkm5Pxc83Su5fw0NYUqAKNZGAYc2+6eBIIL2pvAl+1j5mCZogBWAZeIyNn2ayNE5NwC3/YJrOY6o1R1Y8j7LQIOqepxoAOrXavDy8B/9sz/E/bPs1R1o6r+T2AdkOUv6QXB986LPY/VqroEOIS/rLXDfLEqKiewBOZbIce8CnxRrF4LTm/o6Vgms8vEqnyKiIwpYHovA38iIiMC5xZ8n4bBxQgLw0Ax3HEGA08Ct2l25M1PgDNE5B2shX0NgKoexLKPL7VfW0XhC/MzWOWvn/KM3QvMs695P5ky0S8C/85xcAPfdI4TkXexHOAAdzuOZeAUVi/kvvIo8GCBjt//ZTuQN2EJwLdDjlmJdY+bgA+wein4sM1Hf43Vye0dLN/GZPv3vxh41r7XJ+PejKr+Cst0t87+7P/MfulRCr9PwyBiqs4aDBWOrTX9mapePchTMZQxRrMwGAwGQ16MZmEwGAyGvBjNwmAwGAx5McLCYDAYDHkxwsJgMBgMeTHCwmAwGAx5McLCYDAYDHn5/wGoQuBo8l/exwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#What is our distribution of precinct's Trump votes by precinct Biden votes?\n",
    "fig, ax = plt.subplots()\n",
    "ax.set(xlabel=\"Biden votes in this precinct\", ylabel=\"Trump precinct votes\")\n",
    "plt.plot(vtdBiden, vtdTrump, marker='.',linestyle=\"none\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "id": "d40408f3-31eb-4b8a-ad91-4e2eb5f422df",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0.6309834638816362 1149\n",
      "100 0.6832092638544252 1209\n",
      "200 0.12962962962962962 432\n",
      "300 0.3338228095937347 2043\n",
      "400 0.2402938090241343 953\n",
      "500 0.044794952681388014 1585\n",
      "600 0.378234398782344 1314\n",
      "700 0.8970223325062034 806\n",
      "800 0.7370753323485968 3385\n",
      "900 0.9038461538461539 312\n",
      "1000 0.6711864406779661 1180\n",
      "1100 0.15946843853820597 1204\n",
      "1200 0.49886535552193645 2644\n",
      "1300 0.846832397754611 1247\n",
      "1400 0.48575351870923444 5826\n",
      "1500 0.4962302947224126 1459\n",
      "1600 0.6174763214176596 3273\n",
      "1700 0.5126712328767123 2920\n",
      "1800 0.7792642140468228 897\n",
      "1900 0.38082901554404147 2316\n",
      "2000 0.37141200347926934 3449\n",
      "2100 0.46492753623188404 3450\n",
      "2200 0.601963746223565 1324\n",
      "2300 0.5772954924874791 2995\n",
      "2400 0.5558282208588957 1630\n",
      "2500 0.636259977194983 1754\n",
      "2600 0.592255125284738 439\n",
      "2700 0.6048578199052133 5064\n",
      "2800 0.47733160621761656 1544\n",
      "2900 0.7450110864745011 451\n",
      "3000 0.5353241077931536 2746\n",
      "3100 0.5109780439121756 501\n",
      "3200 0.6214592274678111 1165\n",
      "3300 0.5697981906750174 7185\n",
      "3400 0.6701050620821395 5235\n",
      "3500 0.6197466896948762 3474\n",
      "3600 0.6529605263157895 1216\n",
      "3700 0.21333333333333335 150\n",
      "3800 0.6430594900849859 353\n",
      "3900 0.6693584567070435 2229\n",
      "4000 0.14316012725344646 1886\n",
      "4100 0.21107784431137724 668\n",
      "4200 0.4349157733537519 1306\n",
      "4300 0.5617860851505712 1926\n",
      "4400 0.505003335557038 1499\n",
      "4500 0.6038072575847709 1681\n",
      "4600 0.4065934065934066 1729\n",
      "4700 0.33962264150943394 212\n",
      "4800 0.5755395683453237 139\n",
      "4900 0.5774647887323944 71\n",
      "5000 0.5 2\n",
      "5100 0.36153846153846153 1040\n",
      "5200 0.712 125\n",
      "5300 0.36405228758169933 1530\n",
      "5400 0.6463414634146342 82\n",
      "5500 0.42203548085901027 3213\n",
      "5600 0.4521193092621664 637\n",
      "5700 0.531594514654477 3719\n",
      "5800 0.655383507382067 2777\n",
      "5900 0.6666666666666666 738\n",
      "6000 0.4823529411764706 595\n",
      "4663 0.0 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#now, let's convert the partisan data to the format we use for HD code\n",
    "# in this prototype, we only use 2020 presidential data, but this could be modified\n",
    "vtdGOP = [0.]*nPrecincts  #Each precinct's R/(R+D)\n",
    "vtdPop = [0.]*nPrecincts   #THIS IS VOTER POPULATION\n",
    "vtdArea = [0.]*nPrecincts\n",
    "vtdCPx = [0.]*nPrecincts\n",
    "vtdCPy = [0.]*nPrecincts\n",
    "plotcolor = ['blue']*nPrecincts\n",
    "for p in range(nPrecincts):\n",
    "    vtdPop[p] = vtdTrump[p] + vtdBiden[p] \n",
    "    vtdGOP[p] = vtdTrump[p]/max((vtdTrump[p] + vtdBiden[p]), 0.01)  #avoid divide by zero\n",
    "    if (vtdGOP[p] > 0.40) :\n",
    "        plotcolor[p]='purple'\n",
    "        if (vtdGOP[p] > 0.60) :\n",
    "            plotcolor[p] = 'red'\n",
    "    vtdArea[p] = vtdGeom[p].area\n",
    "    vtdCPx[p] = vtdGeom[p].centroid.x  #not needed except for graphing\n",
    "    vtdCPy[p] = vtdGeom[p].centroid.y   #not needed  \"  \"  \"\n",
    "\n",
    "plt.scatter(vtdCPx, vtdCPy, marker='.',c=plotcolor)\n",
    "for p in range (nPrecincts):\n",
    "    if p%100 == 0:\n",
    "        print(p,vtdGOP[p],vtdPop[p])\n",
    "print(4663,vtdGOP[4663],vtdPop[4663] )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "id": "da0d38f7-be87-4929-81a3-d08ff2373ad9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Special for Florida -- let's group the southern tip into a single blob\n",
    "for m in range(nPrecincts):\n",
    "    x = vtdGeom[m].centroid.x\n",
    "    y = vtdGeom[m].centroid.y \n",
    "    \n",
    "    if y < 25.7 and y > 25.4 :\n",
    "        #x2,y2 = vtdGeom[m].exterior.xy  #turn these two on to show state map\n",
    "        #plt.plot(x2,y2,c=\"purple\")\n",
    "        print(m,vtdPop[m],vtdGOP[m])\n",
    "        if vtdPop[m] > 0 :\n",
    "            plt.text(x, y-0.01,m, fontsize=9)\n",
    "        plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "id": "0c0338ec-f7da-4dc5-82ff-3aed1880e4e8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "superPrecinct 4635 at (-80.39337058487736,25.512243157365855\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#confirm precinct 4635 as a reasonable superPrecinct\n",
    "#now examine the \"original map\" prior to the convex hull flesh-out\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "m = 4635\n",
    "x = vtdGeom[m].centroid.x\n",
    "y = vtdGeom[m].centroid.y \n",
    "plt.text(x+0.01, y-0.01,m, fontsize=9)\n",
    "plt.scatter(x,y)\n",
    "print(\"superPrecinct {0} at ({1},{2}\".format(m,x,y) )\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "id": "a1e3f0d2-c21c-46d4-8227-e75dfd5e89b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2660 2660 0.4176691729323308\n"
     ]
    }
   ],
   "source": [
    "print(vtdPop[sPN],tempPop[sPN],vtdGOP[sPN])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "id": "df935449-b7ef-418b-9341-3fbd77aa8580",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "combined all southernmost precincts into tract 4635 with vtd pop 2660 and lean 0.4176691729323308\n"
     ]
    }
   ],
   "source": [
    "# OK, lump all of these into the precinct indicated in above plot \n",
    "superPrecinctNo = 4635\n",
    "sPN = superPrecinctNo\n",
    "tempPop = [0.]*nPrecincts\n",
    "spnTotGOP = vtdTrump[sPN]  #this is the superprecinct's number of GOP voters\n",
    "for p in range(nPrecincts):\n",
    "    tempPop[p] = vtdPop[p]   #set these up -- do they avoid the copy-slice overwrite warning?\n",
    "    tempGOP[p] = vtdGOP[p]\n",
    "for p in range(nPrecincts):   \n",
    "    x = vtdGeom[p].centroid.x\n",
    "    y = vtdGeom[p].centroid.y    \n",
    "    if y < 25.5 :\n",
    "        if (p != superPrecinctNo) :\n",
    "            tempPop[sPN] += vtdPop[p]\n",
    "            spnTotGOP += vtdPop[p]*vtdGOP[p]\n",
    "            tempPop[p] = 0.\n",
    "            #print(p,tempPop[sPN],spnTotGOP/tempPop[sPN])\n",
    "pp = superPrecinctNo\n",
    "tempGOP[pp] = spnTotGOP/tempPop[superPrecinctNo]\n",
    "print(\"combined all southernmost precincts into tract {0} with vtd pop {1} and lean {2}\".format(pp,tempPop[pp],tempGOP[pp]) )\n",
    "vtdPop = tempPop\n",
    "vtdGOP = tempGOP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "id": "97dcdf7a-f0eb-4367-933f-6f014f64d0b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Now, do the same precinct fusion for the western tip\n",
    "# Special for Florida -- let's group the southern tip into a single blob\n",
    "for m in range(nPrecincts):\n",
    "    x = vtdGeom[m].centroid.x\n",
    "    y = vtdGeom[m].centroid.y \n",
    "    \n",
    "    if x < -86.9:\n",
    "        #x2,y2 = vtdGeom[m].exterior.xy  #turn these two on to show state map\n",
    "        #plt.plot(x2,y2,c=\"purple\")\n",
    "        plt.text(x+(x+87.05)+0.02, y-0.02,m, fontsize=9)\n",
    "        plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "id": "7625348c-cc1a-4a42-ae62-3e8063af4cdb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "superPrecinct 2584 at (-86.941850600667,30.626275343335863\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#confirm precinct 2584 as a reasonable superPrecinct\n",
    "#now examine the \"original map\" prior to the convex hull flesh-out\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "m = 2584\n",
    "x = vtdGeom[m].centroid.x\n",
    "y = vtdGeom[m].centroid.y \n",
    "plt.text(x+0.01, y-0.01,m, fontsize=9)\n",
    "plt.scatter(x,y)\n",
    "print(\"superPrecinct {0} at ({1},{2}\".format(m,x,y) )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "id": "725bdace-e53a-482c-9e5b-fc28841998b2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "combined all westernmost precincts into tract 2584 with vtd pop 237753 and lean 0.6279289851232162\n"
     ]
    }
   ],
   "source": [
    "# OK, lump all of these into 2584 (just inside west edge of truncated map).  \n",
    "superPrecinctNo = 2584\n",
    "sPN = superPrecinctNo\n",
    "tempPop = [0.]*nPrecincts\n",
    "spnTotGOP = vtdTrump[sPN]  #this is the superprecinct's number of GOP voters\n",
    "for p in range(nPrecincts):\n",
    "    tempPop[p] = vtdPop[p]   #set these up -- do they avoid the copy-slice overwrite warning?\n",
    "    tempGOP[p] = vtdGOP[p]\n",
    "for p in range(nPrecincts):   \n",
    "    x = vtdGeom[p].centroid.x\n",
    "    y = vtdGeom[p].centroid.y    \n",
    "    if x < -87.0 :\n",
    "        if (p != superPrecinctNo) :\n",
    "            tempPop[sPN] += vtdPop[p]\n",
    "            spnTotGOP += vtdPop[p]*vtdGOP[p]\n",
    "            tempPop[p] = 0.\n",
    "            #print(p,tempPop[sPN],spnTotGOP/tempPop[sPN])\n",
    "pp = superPrecinctNo\n",
    "tempGOP[pp] = spnTotGOP/tempPop[superPrecinctNo]\n",
    "print(\"combined all westernmost precincts into tract {0} with vtd pop {1} and lean {2}\".format(pp,tempPop[pp],tempGOP[pp]) )\n",
    "vtdPop = tempPop\n",
    "vtdGOP = tempGOP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "id": "8e271f55-e118-4575-bc99-c28c59f435b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2020 population, Trump+Biden voters, lean =  21538187 10880081.0 0.517202215682034\n",
      "for comparison, uselectionatlas has Trump + Biden = 10965776 0.5169475466214156\n"
     ]
    }
   ],
   "source": [
    "#let's confirm some population stats - these match 2020 census, USelectionatlas.org :-)\n",
    "print(\"2020 population, Trump+Biden voters, lean = \",np.sum(tractPop),np.sum(vtdPop),stateGOP )\n",
    "print(\"for comparison, uselectionatlas has Trump + Biden =\",5668731+5297045,5668731./(5668731+5297045) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "id": "1a14f36e-b6bc-4c1f-a234-ce10ccbcf832",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#What is our distribution of GOP lean by precinct voting population?\n",
    "fig, ax = plt.subplots()\n",
    "plt.scatter(vtdPop, vtdGOP, marker='.')\n",
    "ax.set(xlabel=\"precinct voting pop\", ylabel=\"pct GOP\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "id": "5ea2070f-0bcc-45b0-b556-bcddfea7ef01",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's clean up the holes in the map\n",
    "#now examine the \"original map\" prior to the convex hull flesh-out\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.scatter(x,y)\n",
    "Tampa = Polygon([(-82.3,26.5),(-81.8,26.5),(-82.3,28.2),(-83,28.2) ])\n",
    "x2,y2 = Tampa.exterior.xy\n",
    "plt.scatter(x2,y2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "id": "b40b639a-a7f7-4362-b699-cf118a446ea9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "convexMAP = MAP\n",
    "MAP = origMAP.union(Tampa)\n",
    "x,y = MAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "id": "1ff5a978-8e97-4bea-802b-a029d6c1730f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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L1bYJB+2ZsSw80UZsj91dNxz47mvHRcAnQNTUA/ey6eldI0TcpAhar2MiLotvbz86IkolxqgYmGTZVKPDRU5VN3POdjD3bAfx3XZcCuoKkzizMoOqRSlB3Toi5EIomYiIhyqnwmtDekMvd/z8JB98fr5vIhTK541mRqsHHnUCHilsP1TLD9+qoLajH4OCMaudak1aUz+FFW0sPNZGQvcgA7EmzpSkc6osi56UkQW5xL0izFR8NxGtufffj9CSG897dxX5jj9zX6nMwochAj4NfHv7UV7YVzWmmCuXJq+yi+LDzcw504HSUFmcypH1ubR5Mkz9kRm5MNPw/xa95p0qlpQ388s/L/VVmkyJNVP+nZvDaWLEIQIeBrYfquWvXj6CzTGyehxAXPcgSw42sfRgM5ZBJzULkjjwuYIRQi6zcTej3SAluif6WPDYDlwaMmt7+Pxzp/hwy3zOrRA3ymiIgIeRS83MzTYHSw82s/yzRqz9Dk6VZfLZxjm+6BV/ZrKYbz9Uy/d+e5z2vtGzBcdiUVa8pGJHCb5qklpzz38cpT0zlnfuXuQ7LgIeiAh4hDDWrNwy4KB0dx3LDzTRkR7DmZIMLixJpTdI04qZ4lrxX0sYC6PDRUpLP6lN/aS29GMZcNKZHsPJKzJHlGsVH2p04PWFX/VeNUsPNvHCn5f6cihEwAOZtIArpWKADwEr7rDDX2utv6OUSgO2AYVAJXCv1rp9rGuJgA+x/VAtj7xYHnRWPudsB6s+riPTU3SoOTeeC0tSqVySSm/SkJhH+4zz29uP8vzeKl/ZVqPdSdHxNuac6SCzvpdBq5G2rDiUdq8beEudOkwGBmOMxPXY6Y8zcfyqbI6tyRnRkmzWuVZ+9wgc+BloJygjXPlV+PzTl3fNIy/Cu3/n7sIzReVkvXgFPLu6m80vVPD+nQt88elyEw7kcgRcAfFa6x6llBnYDXwduAto01o/pZR6FEjVWv/VWNcSAR9JsPBFLwkdNgor2ph/qp2Mhj5cBsVHmwsDQq7MBvjhPdH3ZvdvyBDXPcjad6rJv9CJ2e6iM9VKY0EC5kEX6Y3uv7txTgK1hUm0Z8XRnWJFGxTZ1d2s3FtPwfkumnLjObE6i6rFqUFdTzO+quTvHoH9Pxm5f/UfT17Ej7wIv/3fYPf7dmSOhdv/ZUpEvOzv3qa9z45yab70b4epnZ/Eh7cvANz/r5P/322X/RwzhSlxoSil4nAL+J8CvwCu11rXK6VygV1a6+KxzhcBH51LLXgmtg+w4c2L5FZ1c7Isk4PX5jM4SvuvaPCTl37vbTr67RgdLm574RQpLQOcXZHO+WVp7mJKavzdJBccb+WKj2pJ7BzEFmPk4qIUzq1Ip2FuUtDxM8X9FMD30twz7+EoI3ynbXLX/KcV0Fk9cn/yHPjGscld0w//m/g1Oy4w90wHv/zzVb7aQjILH2I0AR9XIQKllFEpVQ40ATu11vuAbK11PYDnd9Yo5z6klNqvlNrf3Nw86T9gprO1LJ+KJ27jmftKibeMbMHVnRrDznsWceLKLIrLm7njZyfIu9AJQW7A3gzPb28/Oh2mT4qOfvdC5dzTHWTW93FkXQ57b57nbtAxAfEGOL88nV//zxLevG8x1QuTKazo4LZfnubOnx5nycEmEjpsAeOf21vFor/ewfZDtVP294SdYOI91v7x4GlePO79E8RfnKsWpWC1OcnxS62P+JZ5EcC4Uum11k6gVCmVAryqlFox3ifQWj8LPAvuGfhkjJxNeGs7B4vIcJoM7LtpLueWp3P99nPc8uIZ2jNisMWa6EyN4eLiVGoXJPkE0OuaiYTZ5miROPXz3B2VktptQc4KTkqs2XcD8KEU9YVJ1BcmYXS4uHbHBeafame9p3Jl3bxETl6RRXVRCtqgsLvcAvHd147PDD+5Mo4+A58syQWjzMCDNzWeDKlxZtr77NQVJuEwKeadbqd+3tA3J2nyMDYTqoWite5QSu0CbgUalVK5fi6UplAYOFvxL9J//4/38PG5oa/BLbnxvPLgChYfaWHO2Q5MdheFp9spPuLuIP7Sn5T4aj2Hu9fg9kO1fGNb+aj9JW2xJlwK1LAB4/36PHwhFNw3ug8+P5+TZVn0J5gprGin+FAzN756jp4kC6fKMjl5RRYOi5GOfjvf/PVhgOgW8Su/GtwHfuVXJ3/NG/82uA/8Mpsa+/Od25fz8LZyHBYjFxelUnSslWNX5fiyk6XJw9iMZxEzE7B7xDsWeBv4e+A6oNVvETNNa/2tsa4lPvDLY7iQ+6OcLm56+SwFF7qwmw386s9WeZrehscnPnzGbbQ7KTrWStHRVuJ7BulJstCZFoPRoVlwso2K0kz23DLPd/5Ew8guFUOuXJo5ZztYerCJvIvd9MWb2XPzXKoWu5sJxFuMHP+7qW93Nq1EWRSKF28D6aTWAe78r+O0Z8Xyuz8Y6tkZ7dFWU8HlRKGsBH4OGHH7zF/UWv+dUiodeBGYC1QB92itx1wtEQG/fEaLWsmu7ubmF89g8iyCHtqQR/k1eb7j07lw558qrVya5Z81UrKvgZh+B63ZcbRlxpLQaSO53YbToGjNiWfvprm+inQw+Thg/4Wx0cis7WHdO1WkN/Tx5pcW0+D5yj4jFzejAP/3dOnuWko/rueFr5cyGDPkIJjtceGjCfglXSha6yNAWZD9rcCNU2OeMF6e2FrC6nlpI2abV3xU6xNvgFV76mnNiaPaUzc9lK6UYG4MAGu/g+teO09+ZRc185M4sj6XxoKJRZhMFK8b5IdvVVDX0U9KnJmufjv+RSWb8xN448vFbP3pca5+6yJvfWkxvUlWnttbxep5adHtSolCntha4hPwhrmJqI/ryartoWZhSngNiwKkHUYUsrUsn0N/e3PArMQ06BZvl4JffW0l7ZmxXP1mJco5JOqbnt41pXZsP1RL8bff4Llh4q1cmrwLndz2QgU51d3svnUeO+9dTOOc8UWYPLBu7mXZtbUsn48f3ciFp7Zw6G9v5twPtvDMfaWkxg3N8B0WIx9tmU9sr4PNz1egPL6ev3r5yGU9t3B5tOTE41KQUSe+7/EgAj5DaJjrjuYwaHAaDRxZl0Ncr4P0xj7fmKlcEPK6Krxx60mtA5TsreemX5/hy/9azi0vnsE64OCdLxZxZtX4uyWFyo3hvek9c1+pb1/jnEQOXptHQtcg1n4HADaHi6V/88bMCjGMArw3bYfFSEdGbEA4ISD/j1GIqo48wuhUFyWz4rNGAAor2jHZ3SFlw6M7fOnLiRb2Pb5pws8zfCHVaHdy1a4alhxsRgEdaTFULk6lbn4S1UUpQbMiw7kotbUsn/0X23xf2TvTYwC4+u2LvLd1IShFv93Fw9vK+ca2cu4Xv/i04O9GqVySyhUf1ZHUNkBXmvv/8/C2cnFtBUEEPMrxxkQ3FiQyEGMkZsDJsgONxPQ5aJiTQHNefNDzGrsHKXpsB2d/MPbi0PZDtTz+6tGgbejSGvu47rXzpLQNcOLKLI6sy6E/wTLqtSIls+6JrSW8fKCGfruLusIkaguTmHe6gzt+doIzKzM4vywdW6wJjXvtwCssJsUlXy/h8jm9MpOVexoo3V3Hh3csCLc5EY24UKKc796xHHD36TyyPheA1JYBYvsc9MWbyartIb2+l4ROG/nnOrEMOHznOrR7Rl746A7WPrlzxLW/vf0oD28rDxBvg9NF3vlONr56ltt/fgLzoJM371vMvpvmjireZkPkiLeXH9y10r2hFO99YSF7Ns1FGxTr3qnm3v9zmKveqw54rcD9ehU9Fll9JWcS2Ynu909/gpnjV2Wx8GQb6Q1Dbr+pXsOZCUg52RmAt66Iwenizp+eIKVtYMzxFSszOLY2x/f11B+zAezDyrHEd9pYeKKN3ItdZNX2YnK4GIg1UbEqg+NrcrCNUpMlPyWWb95SHFHC7U+wuPrUpj6Wf9ZI0bFWbLEmYvodVC5O5f0vLPSNme0hbaHE6+Iz2xzc/f+O0ZYVy1v3LfYtfs/WUM9JhxEKkc9373Bns7mMBj7aUsi1r1eS0jrA0TXZ1M1LwujSWPsc5FZ1Y7E5WHiilcVHWmiYm0j1wmQqi4dqjnvF22h3MfdMO4uOtJB3sRsFtGbFUrEqg/rCJOrmJeE0R3fDiecfXD8i4ag9K47dW+ZzYnU2V35QQ8GFLgpPj1klWZhCkqxGumxO7FYT5Vfnsu7davIvdFG7IBkIf2ZxpCEz8BmCdxYOgNbEd9vpTQru0ojptbPkUBOFFR2ktvTjUlBRlsnZ5elk1veRWddDwblOrDYn3ckWzpRkcHZFetDGEv5Ec8bcaL7+te9UsfBYKy88PJQKITPw0OKdhRucLr7wn8dxmA289tVlvnrvs/H1lxn4DOe7dyznsVeO0m93glKjijfAQLyZ8mvyKb8mn4QOGys+a2DpwWaWHnRXi+xLMFNdlMLZknTq5146dltB1EdreGvPDJ+RawUGl3ZXfQxhApIwhAI04DIaOPi5fK5/7TwLj7dytiQDcLu+ouVbXqiRGfgMIlh7MoMCoxrp1x5OVk0PcT2DNOcl0JtovqRYzfRuN95ZYPGhJq5+u4qXH1wxYs1gtvpjQ01AuQit+fwvThLXa+flB0t8brtoctVNBTIDnwX4VzAcjdEaRzQVJIx5XrR2/rlcOj2indLaP0LAn9tbxWuHajnyvSgvghVhPLG1hF99Wo3D5f7Ws//6Am771WmWHmzk2Fp3pNXH59rYfqh21r0fhyNhhLMMb+OIyqe2jDtlfcPCNM58f8us/LB0psfgMCk2vnKO239+ghX7GojvGvQd77I5faGYkdxAI9r40T2rfNsN85KoXpDMyj0NvoxZgMdekbIHIuCzmCe2llD51BY2LEwL2O+N2658aguVT22ZVV9VvXhfk/4EC7/5w+UcuiYPl1JctauGLz57lMzanhHnPLe3Kmg8vTBxtpblB0ww9l9fgHnQSdlHQyn1/XbXrE+xFx+4IIyC1w/uT3JrP7f+8jRKa5rz4hmINXFidTbtWXG+MdEcjRNp+P8P1r5TxdIDTfz2D5bSmuvOMDYA52dBVMpl9cQUhNmIf+ErL53psbx710I6MmKJ77ZTWNHB7b84SdqwomGzfWY4VfjPwg9em0d/vJn1b1/0VY90ASu/82aYrAs/IuCCMApby/J55r5STIbAiJyWvATe/HIxr311Ga88uAKjU3PV+9UY/UJ9HnmxfJqtnZk8sbXE586yW018urGAzIY+isuHGqR32Zyzdv1BBFwQxmBrWT5nv7+Zyqe2sChrZGGw/ngTTXnx5F3sZt3OoU5JLu1OrpKZ+OXz/IPrfTPxC0vTqJuXyBUf1hLbM9TQJFiXqtmACLggjJOdj1w/YsEXpdjxwBIuFKdSWNHuTvjx0NFv5+Ft5dz/4z3TbOnMwxdvrxR7Ns3D5HCxeld1wJjZOAsXAReECfD8g+t90Tkmr2dFKQZjjFgGnfzhPxygZG892dXdGD2x9h+fa5uV4hIqutJjOLomh6LjbeRc7PLtn42zcBFwQZgk/rXBD1/tTjBxmAys/qCWzS9UsPWnxzHb3HHLs1Fcphr/bz9H1ufSnWxh/dtVGPzaBs4PEjk0k5FMTEGYAnqTrPzXX7mjvKx9du78rxMktdsw+HVTXvDYDl+NleHM1kzXifD8g+t9YYVOs4G9m+ay6ddnWf5pI0c9tfA1zKoMTZmBC8JlECyb1RZnRiuF06Cw+TVSHk28wV2r5uFt5cyXjM4x8X+9axamcHFxCqWf1JPQafPtf3hbeRgsCw8i4IJwGTyxtSSoiJ9bnobBpTHZPOVptWb5pw3c9vwpNr5ylqvfqOSKD2pYtr+RgnMdJLYPgNa+Nm4i4sF5YmuJr3MPwL4b56KVO8nHfwF5tnTvkUxMQZhCCh/dgXJpvvjsURI7B3nxT0voTbSw9p1qlh1soi0zFqXB2u8gpt/hLlXr4cDn8n1t8YxKce4Hm8P1Z0Q8/hmayz9tYM37NXy0udBXchYm37g7EpFqhIIwTWgFRo/vO6nNxpUf1LLwRBvHrsrmsxsKhkr1ak1Mn4P5p9pY9041Br8KkU6tZ5Uvd6I8sG6ub2H4xOps5pzr5Oo3L2KLNVFdlAK4G3evfXLnjBHxYFzShaKUmqOUel8pdVIpdVwp9XXP/lVKqT1KqaNKqd8qpZJCb64gRAFKsfemuTiMilu3nWbhiTaac+P4bOOcwDrrSjEQb8Zhcn8Mh5f0/YuXDksi0Cg8sbWEJKsRcDf0fu8LC2nLjuWGV8+Rd6HTN66xe3BGv4aXdKEopXKBXK31QaVUInAA2Ar8HPhLrfUHSqk/AuZrrf9mrGuJC0WY6Sz9mzfo96TUx/YMktIygNOk6EyPHbX5s2XAwZ0/PYHF5uTQNbmcWJ3tE3qTQXH2++JKGY0lj7/OgOfbjmXAwebnT2EZcPLq/1iB3SPwZgOc+X50F7yadDErrXW91vqgZ7sbOAnkA8XAh55hO4EvTp25ghCd/OCulb7t/gQL9YVJNBUkBoj3oqz4gHrsgzEm3vi9YlqzY1n7Xg3zTw41UXa4tCxojsGpJzf7ShwMxpjYfVshcT12NrxR6VvUtLuYsdmwE4pCUUoVAmXAPuAYcIfn0D3AnCm1TBCiEG8d62AN6RRu36231Kx/O7aeFCuf3FoIwOoPajDbhporSxLQ2PiX7m3JS2D/9fnMr2hn1Sf1vv3eDj4zjXELuFIqAXgZeFhr3QX8EfA1pdQBIBEYHOW8h5RS+5VS+5ubm4MNEYQZxRNbS/in+0rJT4lFAfkpsTxzXykXntoyooemf3ZhQoc7ljmha5C8yq6AcdIoYmz8X8dja3I4uzydK3bXMa9i6NvMTOzgM64wQqWUGfgd8JbW+ukgxxcDz2mt14x1HfGBC8JICh/dgbXPzu/96+GA/Z/cPJeKsizf42fuk0zNsdj09C7ONPUCYHS4uPWFClJb+nn9/iW0ZbsbbkRraOGkfeBKKQX8BDjpL95KqSzPbwPwbeA/ps5cQZhd2OLMfLilkLMr0jlxhVu0179dRWrzUKOIH75VES7zogJ/V4rTZOC9uxYyaDVy48tniel1l55t7B6cUUk+43GhbAB+H9iolCr3/GwGvqyUOg2cAuqA/wqhnYIwY/H6y8+tyOCjLfPJaHDPIu0WI4MWo29cXUd/GKyLLvyzYvsTLLz7xSJi+h1sfPWsL87+TFPvjFnUHE8Uym6ttdJar9Ral3p+Xtda/7PWerHn51E9nSmdgjCDuN9PdCz9DrLqeqlYmcHLD62gN9nqO5aXEhsO86KK4aUNWnPi2b25kOzaXta/PZRuP1NK/EotFEEIM/4Lm7lV3QBULUphIN4cMO6btxRPq13RSsBCsdbUzk/i5BWZLD7awrL9Tb5DMyG6R1LpBSGCmHfaHTWhDYq8C53UzU/2HZMFzImzak89V3xU53u89r1qzpakMxgzM6RPZuCCEEE057mTUm5+6Qy3vHgG0+BQPHjhLGtWMBVULk71bdcWJvHhlvkMWo1jnBFdiIALQgRx8oosdt2xAACHSeEyBKYEiYhPjM6MWLb96UraMmPJvdiFy6gC6tFE++spAi4IEYAvEUUp3wzR5NB85R8PsuB4axgti376kiy8fv8SmgoS+Nxvz5N7MTBJqvDRHb6faEMEXBAigOcfXO/brp2fxDt3FdGV4o5Aieuxh8usqKXyqcDiVXarkZ13L8JuMbL6/RoMDhfKpQOaQIBbzKMpTlwEXBAiBF/4m1JUL0ph303u8kIpLYHx39E4UwwHw0XcYTGye3MhGY19fOUfD/LVHx7gD//hAFv/81hAS7YzTb1RI+Ii4IIQITyxtSSgpkfNgmTOLUtj0bHWgIxMYfwMF/GqxamUe7oeAdgtBuJ67dz2QoW7rZ0Hb0p+pCMCLggRhL8rBaU4eK07dHDRkZYwWRT9DBfxQ9fmsfPuIj69oYDn/3cpb36pGJPdxa2/Oh3QFSkaCoiJgAtChOE/C09qc88K7eaZE/oWDgJEXClqFqZwfE0O2migLTuO3bcVktA1SO7Fbt+wxu6gBVYjChFwQYgwPj7X5t7QmlteOgNAa05cGC2aGfh3sx9OXWESDpOBoiiL+BEBF4QIJbumx7dd5ZeQIkyOfY9vGlXEnWYDx67KZsHJNrKrhmbhRY9F9oLxzMgnFYQZSF+CXy0UrX0JKGPNJIWxGV4L/P4f7/F94zm6LofSPfWsf/si2/94OSiFI8JL9ImAC0IEsfI7b/q2vXVRWnLiArIHo7EhQSSy/VCtT7zTGvu4/rVzAMT2OVAadLC+eBGGCLggRBBdnl6YsT12Vu+qpSkvng8/Pz/MVs1MHt5WDkBc9yC3bDuNw2Rg963zqC5KQRuiQL0RAReEiMG/6e7cM+0oYN+Nc+hOjQmfUbOAxYdbsPY7eP2Pl9OZEV0112URUxAiBO+MULk0pR/X0Rdv8vVyFEJH/vlOmvITgoq3f3OISEQEXBAijAUnWonrdbB30zxcxsCP6PCkFOHySegepDN95LecB9bNDWwOEYGIC0UQwsT2Q7V886Vy7K7A/csONKGBi4tTAvaLeIcGg1PjNAb6vKPltRYBF4QwsP1Qrc9l4k/xoSYyGvqwWwwBkSdC6OhLMBPfFflZl8EQAReEMPBXLx8BwNrvIO9CJya7C5NDs+4dd5/GD7cERp5Ey4wwGmnPjHWn0PvF2m8/VBsVLexEwAUhDNg8RZNW7qlnxWeNAccOr8+RzMtppCk/gYUn2ojvGqQ32V2D/eFt5SLggiCMjTfe+O27F9GSG4fTZMBhkcJV04m3D2l2TQ/nPQIeLUgUiiCEkXPL3ZUH55zrwBZnDire4j4JLW1ZcfQlmCmsaA/Y/+3tR8Nk0fgRAReEMDLoEWw9yoKliHfo8L7i2qA4vzSNgnOdWPodvuPP7a0Kj2ETQFwoghAGFmXFc6apl74EMy4FDkvgXOqZ+0rZWpYftH2aiPrUcOGpLb7X99zydFZ81siioy0cX5PjGxPpi5mXnIErpeYopd5XSp1USh1XSn3ds79UKbVXKVWulNqvlFoTenMFYWaw85HrAdBGA12pMRQdbSWmd6h58Q/fqhi196W3g3o0fMWPdLwlT9qy46idl0jJvgZMnno0AI8ECfWMJMbjQnEAf6G1XgqsA76mlFoG/APwPa11KfC3nseCIEyQ2gVJxPXaA7rP13UMNTLOqO9l5Z56jI7AjJ/n9lZR+OiOqGj9Fak8fW+pb/vg5/KJ7XNQtrvOt89FYI2aSOOSAq61rtdaH/RsdwMngXxAA0meYclAXfArCIIwFkq7feFtWUO1OPJShrZLd9dx5Ye1fP4XJ5lztgOz3wwR3K2/vLNy6Vg/MfzdIy15CZwqzWTZgUbSG4aaGkfyLHxCi5hKqUKgDNgHPAz8UClVDfwIeGyUcx7yuFj2Nzc3X561gjADSW7pZyDOFJB5+c1bin3bTpN7f1pzPze9fJYHnjnEF589isHpGnEtQIR8gsT4pdEfuC6fgTgzG96o9DU4duFu/BCJjFvAlVIJwMvAw1rrLuBPgW9orecA3wB+Euw8rfWzWuvVWuvVmZmZU2GzIEQ93sYNRoeL3OoemnPjA477zwztQUILk9ptfOVHB0lqG+CGV8+ydmcVyhXYPkZEfHycenKzb3swxsTHt84jvamfKz8ccp18fK6NTU/vCoN1YzMuAVdKmXGL9/Na61c8u78CeLdfAmQRUxDGibdxQ3Z1NwaX5vzytFHH7rtpDp/eUIDNasRhCvzIXvP6BQpPd7DsYBNf/eEBCk+1BRwXER8f/pE9NUUpnCzLZMVnjeRd6PTtP9PUG3Ez8fFEoSjcs+uTWuun/Q7VAdd5tjcCZ6bePEGY2eRU96CB+rlJI455PCfYrSaOr8nhhYfL2HXngoAxCZ2BRZhu+M15klv7ESaOf+3vz24ooCM9hmtfr8TaN7S47G3BFimMZwa+Afh9YKMnZLBcKbUZeBD4R6XUYeD7wEMhtFMQZiR9CWYUkFnXE7C/6LEdnP3ByHjvnqTAhsYdniYEhzbk+fbd9Z/Hp97QWcATW0tYlOV2ZTnNRj64fQHWfgfrdgYm9ERSVMp4olB2a62V1nql1rrU8/O6Z/+VWutVWuu1WusD02GwIMwkzpRk0J1s4ZrXK8msHRJxh3a7P565r9S3z+hwcfVbFwPOz6/sAqDs46EgsLbM6GoLFknsfOR6rB43VVt2HIfX57LgVDsFZzt8Y4KVAQ4XkkovCGHEaTaw644FKA2bnz/F8k8bAo57xcJod7LxlbNk1fVy/Mosfv3QCnZ+sYi9N87hyNqcgHM+uWXedJk/I/n7L670bR9dl0N7RixXv30xIHxzyeOvh8O0EYiAC0IY8Pe3tuQlsP2Pl3NxcSpr3q+h6EjLiPHF5c0UXOhi38Y5fHrTXLpTY6gpSuHMygx6/dwqu2+dR3N+wrT8DTOVrWX5vv+Py2hg923ziOu2s3pXjW/MgFNHRFSKCLgghIEntpaQnTgkvHarkQ9vn09tYRIb3qwMiH4ASG0ZAODE6izfPoPDxU0vn2W9x0dbNy+RM6skVHcqeGJria/YVUteAsfWZLOkvDnAzXWmqTf4ydOICLgghIl9j2/yLZqBe7b33hcW0ptoYcWn7iYPcd2D3PTrM8w/2UZDQYIv2cfa72DzCxXkVnXTk2ThF49cwVtfKh7xHFL4avLc7/ctqXxDHjarkWX7A5tvhHtBUwRcEMLIzkeuD3CnOCxGelKsmDydjjPqe5lzrpOBOJPPt21wutj4yllSm/p4/44FvPQnJTjNIz/KIt6Xh39HeofFyLkV6cw70xEQVhjuBU0RcEEIM/7hawCxvXYcJkXp7lqu++0FAHbes4hBq5GVn9Rx14+PkVPTw+7NhVQuTQva/FjEe2rwv7meXpWB0alZcCIwFjycVSGV1vrSo6aI1atX6/3790/b8wlCNOHNmrzh1bMUnu4AoH5uIlVFycw73UFWbQ8G7d534sqsoH0zRbinnqK/fh2Hp0zB1p8cx+hw8bs/WIot1t1OwagU536weaxLXDZKqQNa69XD98sMXBAijCPrcjlVmsmu2xfw1r2LSG3uJ6fGLd6v/tFy3vxysYj3NPKje1b5tj+5ZR4JnTZW7BsK93RO4yR4OCLgghBhXPV+NYUV7dQuSEIbDRxZnwuAy6CwxQZveCziHTr8C4s1FSRQPy+JeafbwU+4w+VGEQEXhEhCa3Kre4jpd3D/P5dz778f5ovPHsNuNrDj/mL6EywjThHxDj0bFg4VG7tYnEpyu43MuqEwwnD1zxQBF4RIQik+uXlo4axuXhLlV+fyxpeLackbStAx4BZuEe/p4fkH1/u2zy1LYyDGSMm+wKzZcHRGkqbGghBhVJRlYXBq1r1bzcXiVKqLUkaMedqvRoowPcRbjPQOOnFYjJwuzWTFvgYSOm30JFsBd2ek6UZm4IIQIfhnZlaUuTMqb3r5LLE9gcKwKCs+ojulz1Se/MJQXHiFJ+N1xbDaNdNdL1wEXBAihH2Pb/LVAHcZDRy81l0i9o6fnSSpbcA3LhIbC8wG/G+aPSlWTq/KpLi8hcT2of/NdNcLFwEXhAjCvwb44avz2P5Hy1Bac9sLFaQ29fmOfXyujaLHpNvOdJNkHYoCKr86F5dBsXpXYDr9dEakiIALQoTh32S3PTOON75cjDbA5ucryK7q9h1z6KHemsL0cOR7t/q2+xMtHL46l8LT7cw93e7b//w0RqSIgAtChHHqyc34J8d3ZsSy44Gl9CWaufnF0wGVCrtszogoazqb8G+ycXRtDu3pMVz5QS3K6a5fo5m+Ilci4IIQgVx4akvATLw3ycLr9y+hO9XKTb8+i2lwqLnAmaZeEfFpZGtZvi8uXBsUBz+XT0rbAMWHh+q4P/Ji+bSIuAi4IEQop57cHCDitlgTJ6/IwujSbHrpDJYBh+9YJNSmnk08/+B6TAb3/6ZqUQr1cxMp213n+5+4NDz2ypGQ2yECLggRzKknNwdkAZ5elcneG+eQVdvDjS+fxeD52g7TH8I22/HVSFGKTzfOwTLgYM271b7j/XZXyGfhIuCCEOH4ZwFqg+Lk6mw+2jKfnJoeSvYOxSF/fK4t7A0GZhNby/JJjTMD7gbIR9bnsuhYK4WnhkIJHwlxvXARcEGIAp4Zlnl5fnk655emseqT+oDwwnA3GJhtfOf25b7t8g15dCdbKPuozlfoykVoFzRFwAUhCthalj9CxPfeNIfBGCMb3rwYUBnPW1dcCD3+DZC1QVE7P5mUtgESO2y+MaGchYuAC0KUsLUsP6B4lS3OzKFr88ms72X+qfYxzhRCiX/rtSPrc3AaFSv9XFuhnIWLgAtClOHf5uvs8nT6Esws/6whIupTz1a8C829SVZOlWVSdLSF9IahyKBQubYuKeBKqTlKqfeVUieVUseVUl/37N+mlCr3/FQqpUJjoSAIATyxtcQXXug0Gzh4TR6Z9X0Ulzf7xrywLzz1qWcr/gvN5RvyGIgzsW5nVchvquOZgTuAv9BaLwXWAV9TSi3TWt+ntS7VWpcCLwOvTLl1giAE5dSTQz0Yz6zMoGZBEmvfrSa93j3rc2mZhU833ln4YIyJg9fmk1XXS8H5oazZUDR9uKSAa63rtdYHPdvdwEnAV5ZLKaWAe4FfTrl1giCMis+VohQffn4B/XFmrn/tPEa7O0vzub1VUitlGvGfhZ9dkU53siUgzBOm3hc+IR+4UqoQKAP2+e2+FmjUWp8Z5ZyHlFL7lVL7m5ubgw0RBGESPLG1hEVZ8YA7S/OjLYUkddi44sM635gum1OiUqYRX4q90UBdYRI5NT2kNYYuzHPcAq6USsDtKnlYa93ld+jLjDH71lo/q7VerbVenZmZOXlLBUEYwc5HrifW7P4YN8xL4nRJBiv2N7Lqk7qAcSLi04P/LPz4VdkAzD8Zuhrh4xJwpZQZt3g/r7V+xW+/CbgL2BYa8wRBuBQ/uGulb3vvprlULk7hio/qAjICQUR8uulMj6VuXiKFFaHrYD+eKBQF/AQ4qbV+etjhm4BTWuuaKbNIEIQJ4d8pxmk28MHtC2jKi+dzv7vAPBHxacc/zPNMSQZJHTayq3t8+6ZyMXM8M/ANwO8DG/3CBr1L4F9CFi8FIez4F7xymQy8c/ciWrPjuO63FwLqhwPSySfE+Cf2VC1KwW42MP9UaNwoSvtN7UPN6tWr9f79+6ft+QRhNrHp6V0BZWUtAw53K7bmfn7zh8toz4ob97X8Mz6FiVP02A4cHmm94dVzZNT38tL/GnJ1PXNf6YQaUyulDmitVw/fL5mYgjBD2PnI9QGd7QdjTOy8exEKuO618779RruLmF47Mb12rH2en34HyiX1VKYK/96mjQUJJHQPEts96Nv3w7cqpuR5TFNyFUEQIoJ9j29i7ZM7afSIRV+ShYpVGRQfbmHTS6eJ7XWQ7hfW5k/VwmTevXvRdJo7KxiId8tsTL+Dfs8Ntq6jf0quLTNwQZhh7Ht8U8BCWmuOO1a84HwXDpPiQnEqx67KZs+muey9aS6H1+cC0J9gDou9Mx3ToLvpht2vo31eSuzUXHtKriIIQkTxxNYSX7SDwzQ0T7PFmojts5NX2YXLqLBbjXSlWNHAiSuzw2TtzMYW65ZZs22oj+k3bymekmuLgAvCDOdzOy74ttMb+uhJtlK5JBWjU1N0rJWkdhudqVY6MqdmVigEYnS4Z+Auw1B/04ksYI6FCLggzHDevmcRN790BpvVyOv3L6Enxeo7drIsk9v/+xSVS9ICzvF3wQiXh3XAPfMeiJt6uRUfuCDMcGoXJLP9D5ehtOaq96sDjrXkJfCzb17JwWvzAvb7xzILl4e38bTLqC4xchLXnvIrCoIQcbRnxVFfmERWbQ/WPnvAMW1QoIbEJclvsU24fAye8Ex/F8qUXXvKrygIQkQwPBnnyNocrP1OVu8avfJFktXIke/dGmrTZhWxvXbsZgNO09TLrfjABWEGU/nUFl9STkteApXFqSw42cbeTfNwmg0jxo1WflYyMydPWmMfnekxAd9ypgqZgQvCDMffJXJ+eRomhyartidgjL9oG+3OgKxM7/G1T+4MraEziPt/vAcAk81Jdm0vdfOSQvI8IuCCMMPxd4k0FCQyaDGw4c3KEUWuAD732/P8wdOH+OoPD7Dlv09i8ITAATR2D1L46A5Jsx8HH59zF69KbenH4NI0FSSE5HlEwAVhFuD98u6wGnnn7kW4DIpbXjzDppdOM6+inaTWAYrLm1l4YqhqXlZdL/f8x1GW7m8MOiMXLk1K6wAAHekxIbm++MAFYRZwwc8X3jgnkd/80XKWf9rAkkPNbNx+zjeuIy2Gk1dmUVGaScG5TpZ/1sC6d6vJrepm1x0LcPktxBU+ukN845cgpaUfh1HRkzwUe+9tgzcViIALwizBpPCVOHWaDBy5Oo+j63LJqu0hoXOQjvQYWnPifItt1YtSqF6Uwtp3qlh2oIktz53ijd8rxmGRMMPxktw6QFdajDtU08POR66fsuuLC0UQZglnf7CF4XEQ2qBonJPIuRXptObGB42U2HfTXN67cwHpjX1c9X5gCOJUtgebiSR22OhKDY37BETABWFWceGpLTxzX+mEz7u4JI3jq7NZUt5MksevC1PbHmymoVyalLYBulMslx48SUTABWGWsbUsn8qntlD51MgZObh9tN7j/hxdl4PToFhyqGl6DI1SvCGESW3uG11/fOjK9IoPXBBmMRcusQjpnwg0EG+mvjCRvItdAWPWPrmTfY9vCpmN0YY3hDClxd20oXFOYsieS2bggiCMiX9lwuaceJJbBzANDtW2bvRrFSYMkVXXi0uFLoQQRMAFQbgE/pUJW3PiMWhIawrelk0YIrOuh+a8+IConakMIQQRcEEQxoG3bEprjruzfXqDCHgwth+qBdwLmGlN/bTkBgr2VIYQggi4IAjj4If3lALQl2CmL95ExiiNkWc7j71yBICEThtmu4v2jNB2ORIBFwThkvhagClFa3Y86fW9AceXPP56GKyKPPrt7toxCZ3udYHuVOtYwy8bEXBBECZES24cyW0DAY0hBpx6jDNmHymt7giUbr/2dSHo53BpAVdKzVFKva+UOqmUOq6U+rrfsT9XSlV49v/D1JsnCEKkUbUoFYOGRUdbAvZLVuYQKS0D2GKM9CYOJfE8fW/plD/PeGbgDuAvtNZLgXXA15RSy5RSNwB3Aiu11suBH025dYIgRBxt2XHULEhi5Z6GgFm4ZGUOEdtrpy/BElCaYKo60ftzSQHXWtdrrQ96truBk0A+8KfAU1prm+eYpGcJwizh0xvmYLa7WPdONWhxnwwnttdOX3zo8yQn5ANXShUCZcA+YDFwrVJqn1LqA6XUVaOc85BSar9San9zc/NlGywIQnjwT63vzIjlVFkmC062kdRu8+2XOuFuYnvt9CeELoXey7gFXCmVALwMPKy17sKdhp+K263yTeBFpUaWMtNaP6u1Xq21Xp2ZmTlFZguCEA78C2HZPK3alu1vDBjj7dpT+OgOFv31Dl9s9KxBa7eAh7AGipdxCbhSyoxbvJ/XWr/i2V0DvKLdfAq4gIzQmCkIQiTg78c9eWUWAEsPNZM6Smam3QUPbyv3CfpsWOg0DzoxOXRkCLhnVv0T4KTW+mm/Q9uBjZ4xiwEL0DLiAoIgzEhscWY+udldJ2Xrf53ANOjEaHdSeLKNuafbyaztGeEff25v1YyfmVsG3HVinKbQR2mPx8u+Afh94KhSqtyz76+BnwI/VUodAwaBr2gtqxmCMNOJMSpf3HdFWRa2WBM3/OY8qz6px+hwsfzAUDxDc248lcWpnCrNxGEdqgninZk/vK18UjaYDXDfmrnsOFJPu18kzHAWZcVPefr6pejzhA4m+q0NhIpLCrjWejcELRsM8MDUmiMIQqRz6snNAYuVlUvSOH2+i5J9DSigOSeOT24tJKu2h+LyZq7aVUPpx3V0psdwemUGlcWpAS3Gxo32CJHWKA2/fvccSkOs1p79oNCgwRZrwmExcqapl01P75oWES96zP2aeP+2xM4IEHBBEITh+NcJB/hsYwFxPYMkdA1y8Np82rLjaMuO49QVWWRXd7PgRBsF5zq5+u0qrn479PHifQlmtn1tFQBnmnovMfryuP/He3w1wAES292NHOzT0DtUBFwQhElR+dQWn3gNxpjYee/ioOMa5yS6mxpoTXF5Mya7Cx2k96aPMQ5p5R6gld9jpdC+Y1C2u474ntHdKlPF9kO1/MWL5QyvIpBd3QPA4atzQ26DCLggCJPm+QfXs+npXeOb5SpFRVlWyG1K7BykZG99SJ9j+6FaHtlWjgvIqepixaeNJLbbaJibSEpLPzarkd6k0PXC9CLFrARBuCx2PnI9D6ybO2Li/MC6uWxYmBYWm0LNd1877o6bruvhtl+eJreyi5S2AZaUN5NT08P+6wsColBC9TrIDFwQhMvmia0lAZ17gjGVWZrjjUIJBff/eA8d/e7nnH+qHYBXHlrB539xirhe9/7qouSAc55/cH1IbBEBFwRhWhje5X4q8L9pTEcav/+CpbXfwYrPGmnJjqM3ycqxNdmseb8Gp1ExEDeUxJOdGDpXigi4IAjCOPC/QeRd6GTtO9UA7N5cCMDxNTnUzU9CuQgIk9z3+KaQ2SQCLgiCMAbBZvZXfFhLStsA7961kPasON/+9sy4EWNDiQi4IAiCh0u5YeaeaSfvQheZDX0MxBipWpQ65vhQL+KKgAuCIDAk3pYBB7E9dhwWA71J7pZoiw43s/hwC1l+vUBPXpk95vU2LEwL2eKlFxFwQRBmPGPNrIcvrt7xsxMkepoSD+fEFVlUlGbSkTmy23woFmkvhQi4IAizmuHiHtPnCDru/TsXULkkuEvEv076dCICLgjCjCe5pZ/U5n4SO22YbU4uFqfSmhMfdGxfohlrn4Nffr0My4AD5XLnytvigtf3fua+0pD0uxwPIuCCIMxoln3WwNr3anyPNbBqbwMDsSa6ky1ULkmjfl4i8V2DxPXYSW6z+boNDcaMLpHT4eO+FCLggiDMOAyeAlOrPq7jit11VBWlcPDaPHqSrYCmuLyFxA4b6Y29XLWrJuDc7mQLR9fmjHn9cPi7gyECLgjCjMJbHNAr3pWLU9l154KA5JpjfgKd1DZAZl0vHekxDMSZ6Eu0jKhXHimCPRwRcEEQZhRnS9Ip3VNPbK8dp1GR1tyH0eHCMUp97q60GLrSYqbZyqlBqhEKgjCj8DYT7km2cOBz+SS120i6jPZmkTr7BpmBC4IwQ8hOtNDYPehr7KC0uzMPgMM8NFf1F+TR4sMjWbT9EQEXBGFGsO/xTW5B9nT7KdnXQL8n9G/QGtx9Ei1CPRoi4IIgzCi8jRSsA060Uuy7cQ4D8cFjuKMdEXBBEGYcH20uxDLg5PSqjFEXL2cCIuCCIMw4zpZkhNuEaUGiUARBmDEsygqeHu8l2n3ewxEBFwRhxrDzketHiPiirHgqn9oy48QbxuFCUUrNAX4B5AAu4Fmt9T8rpb4LPAg0e4b+tdb69VAZKgiCMB52PnJ9uE2YNsbjA3cAf6G1PqiUSgQOKKV2eo79k9b6R6EzTxAEQRiNSwq41roeqPdsdyulTgLhqZ0oCIIg+JiQD1wpVQiUAfs8u/5MKXVEKfVTpVTQ5nBKqYeUUvuVUvubm5uDDREEQRAmwbgFXCmVALwMPKy17gL+L7AQKMU9Q//HYOdprZ/VWq/WWq/OzMy8fIsFQRAEYJwCrpQy4xbv57XWrwBorRu11k6ttQv4MbAmdGYKgiAIw1Fa67EHKKWAnwNtWuuH/fbnevzjKKW+AazVWn/pEtdqBi5ertF+ZAAtU3i9UCK2hgaxNTSIraFhsrbO01qPcGGMR8CvAT4CjuIOIwT4a+DLuN0nGqgE/qdX0KcLpdR+rfXq6XzOySK2hgaxNTSIraFhqm0dTxTKbkAFOSQx34IgCGFEMjEFQRCilGgX8GfDbcAEEFtDg9gaGsTW0DCltl7SBy4IgiBEJtE+AxcEQZi1iIALgiBEKVEp4EqpUqXUXqVUuSdNf41n//2efd4fl1KqNBJt9RxbqZTao5Q6rpQ6qpSKiURblVKFSql+v9f1P8Jp51i2+h2fq5TqUUr9Zbhs9LNltNd1jd9relgp9YUItXOTUuqA5z16QCm1MZx2XsLWdKXU+57//b+F2064pAY8ppQ6q5SqUErdMuGLa62j7gd4G7jNs70Z2BVkTAlwPlJtxR3CeQRY5XmcDhgj1NZC4Fi4X8uJvAdwZw6/BPxlpNoKxAEmz3Yu0OR9HGF2lgF5nu0VQG0Ev6bxwDXAnwD/Fm47L2HrMuAwYAXmA+cmqgFROQPHnTyU5NlOBuqCjPky8Mtps2h0RrP1ZuCI1vowgNa6VWvtDIN9/ozndY0URrVVKbUVOA8cn36zghLUVq11n9ba4dkf4xkXTkaz85DW2vv6HgdilFLWMNjnz2i29mp37spAuAwLwmjv1TuBX2mtbVrrC8BZJlqSJNx3p0ne0ZYCVUA1UIs7zXT4mHPAiki1FXgY+G/gLeAg8K0ItrUQ6AUOAR8A10awrfHAHiAB+C6RMQMf9f0KrMUtij3AFyLVTr8xdwPvRPJr6jn+VSJnBj7ae/XfgAf8xv0EuHsi147YpsZKqXdwdwEazuPAjcA3tNYvK6Xuxf2H3+R37lqgT2t9LIJtNeH+qncV0Ae8q5Q6oLV+NwJtrQfmaq1blVJXAtuVUsu1uyplpNn6PdyNRnrcZXymh8m+X7XW+4DlSqmlwM+VUm9orUM2e7zMz9Vy4O9xf3sMOZdj63QzSVuDvUEn9i0s3HenSd7ROhmKYVdA17Dj/4S7xVvE2gp8CfiZ37i/Ab4ZibYGGbcLWB2JtuKu21Pp+ekA2oA/i0Rbg4x7P5yv61h2AgXAaWBDOF/L8b6mRNYMfLT36mPAY37j3gLWT+Ta0eoDrwOu82xvBM54DyilDMA9wK/CYFcwRrP1LWClUipOKWXyjDkRBvv8CWqrUipTKWX0bC8AFuH2MYeToLZqra/VWhdqrQuBZ4Dva63DHY0w2us63/O/Ryk1DyjGfeMJF6PZmQLswC02H4fHtBGMqgERyGi2vgZ8SSllVUrNx/25+nQiF45YF8oleBD4Z8+bfwB4yO/Y54AarXW4BcZLUFu11u1KqaeBz3B/bXpda70jfGYCo7+unwP+TinlAJzAn2it28Jko5ex3gORxmi2XgM8qpSy4670+b+01uEsizqanX8GFAF/o5T6G8++m7XWTWGw0cuo/3+lVCXuRUOLZ0H7Zq11OCdHo2nAcaXUi7gnbg7ga3qCgQySSi8IghClRKsLRRAEYdYjAi4IghCliIALgiBEKSLggiAIUYoIuCAIQpQiAi4IghCliIALgiBEKf8/qXnzYs1krEcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Now fill hole near Jacksonville\n",
    "#now examine the \"original map\" prior to the convex hull flesh-out\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.scatter(x,y)\n",
    "Jacksonville = Polygon([(-82.4,30),(-81.9,30),(-81.9,30.63),(-82.4,30.6) ])\n",
    "x2,y2 = Jacksonville.exterior.xy\n",
    "plt.scatter(x2,y2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "id": "20a475df-fece-4d01-80c1-61edead3aadc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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14jne3zyTS0ukG2UoksBDaKSWubXPwcKjDSw+VEd0j4NzxZkcWj/dW73iazIn853HqvjO707T0m0f+eQA5mbFy1DsCOEd/q81X/jhSVoyY3nn83O9xyWB+5MEHiaGa5VH9Too2lfN4iP1tKbHcGFpBlcWpNIVYNGKydK14nstYThmh4uUxh5S63tIbewhqtdJW3oMZ2/IHDRdq/ShRgZPX/hN71aw8Gg9L3+tyDuGQhK4v2tO4EqpGOB9IBqj7PDXWutvK6XSgB1AIVAGfFFr3TLcfUkC77fzWBWP/rIkYKt8+sVWln9YTaZ76amG3HiuLEilbEEqXUn9yTzSW5xP7TzJSwfKvdO2mu1O5pxuZvqFVjJrurBFm2nOikNp47qBZyEDh8WELcZMXKednjgLp2/K5tTKnEFLkknXSnjzJPDsig42vVzKns/MomxBGiBvwgNdTwJXQLzWulMpZQX2AV8H7gWatdbblVKPA6la678e7r4kgQ8WqHzRI6G1j8LSZmaeayGjthuXSfHBpkK/kiurCZ79QuS92H1n0IvrsLHqnQryr7RhtbtoS42mbloCVpuL9Drj966bnkBVYRItWXF0pESjTYrsig6WHahh2uV26nPjObMii/J5qQG7nmRWyfBT/Hdv09JtR7k09//rcapmJvH+p2cBxt/r7N/fHeIIw8e4dKEopeIwEvhXgJ8B67TWNUqpXGCv1nr+cLeXBD60kS54Jrb0cvObV8kt7+BscSZHb83HNsTyX5HQT170nbdp7bFjdri4++VzpDT2cnFJOpcXpVGfnzBo4rDhzDrdxA0fVJHYZqMvxszVuSlcWpJObUFSwPMnS/dTpPN9E79l1xUKLrTy868t984tJK3wfteVwJVSZuAIMAf4N631XyulWrXWKT7ntGitB00rppR6BHgEoKCg4MarV69e+28xBew8VsWTvzkZcLSo2eFixd5KFhytpysxio/umkF1YdKQyS6cE5Xn4/PMM82s+91ljtyax4m1edd+h1qTe7WDOacaKbjQRpTNSXNmLKVFmVTOSh5Uax+pn1wmG8/roOB8C3f+5hJv3j+Pmhn9b7zSF24YrxZ4CvAb4GvAvtEkcF/SAh+94SoyMmq6WLfzEontNloyYuiLtdCWGsPVealUzfJP6OGSxIeqxInpsvPAvx7nwpJ09m2eOar7Som10tozdKWK2eHi1l1XmHmu/5JM9YxEzt6QRcWcFL++cuknDy1PN4rF5uSBH5RwYVkGBzbM8B6P9Os842WoBD6muVC01q1Kqb3AXUCdUirXpwulfnxCFeA/Sf+DP9rPh5eavccac+N59eElzDvRyPSLrVjsLgrPtzD/RCMAv/rzpXS6K1dCvdbgzmNVfGNHyZDrS/bFWnApUANOGO3H54EXQsFYNPe9T83kbHEWPQlWCktbmH+sgTt/c4nOpCjOFWdy9oYsHFFmWnvsPPbr4wCSxEPg259ezNYdJTiizFydm8qcU02cuinH+4lJFnkY3mguYmYCdnfyjgXeBv4BuB1o8rmImaa1/qvh7kta4NdnYCL3pZwuPvHKRaZdacduNfGLv1juXvQ2NH3iA1vcZruTOaeamHOyifhOG51JUbSlxWB2aGadbaa0KJP9G/tbXmP96DxSDblyaaZfbGXh0XryrnbQHW9l/ycLKJ9nfGiMjzJz+u/Gf7kzMTLPAtJJTb185r9P05IVy+//eJH3uLTCh26Bj2Yy3lxgj1LqBHAI2K21/j2wHdiglLoAbHD/LILopYfX8NDqgoDHsqq7yKkwpua02l0s+bjOe+zDS808tfPkhMQIxlDpFw8YyVu5NEsO1vLF/zjJ2rfLMbs01TOScJkU0660k1XVydV5qZTcfB393xit52N/+0mev68o4HFtUpTPS+Wt++fz+4cW0J1oZf1vLpFztR2ALptzQp8j0e9B92u6PT2Gk6tzyKjpJqrX4T0urfChjdiForU+ARQH2N8E3BmMoMTQtm1ZyooZaYNamzd8UIXFp4Jl+f4amnLiqHDPmx7MrpRA3RgA0T0Obn/tMvll7VTOTOLEmlzqpo2twmSsPN0gz75VSnVrDylxVtp77PhOKtmQn8AbD8xny09Os/atq7x1/zy6kqJ58UA5K2akSVfKBNu2Zam3lLa2IBH1YQ1ZVZ1Uzk4JbWARQJbDiECe1qZvN4PFZiRvl4JffHUZLZmxrH2zDOXsT+obnts7rnHsPFbF/Kfe4MUByVu5NHlX2rj75VJyKjrYd9cMdn9xHnXTE0eVvIf6lDFaW4rz+fDx9VzZvpljf/tJLn1vM8/fV0RqXP9c7I4oMx9snklsl4NNL5Wi3H09f/3Kiet6bHF9GnPicSnIqJZW92hIAp8kagsSATBpcJpNnFidQ1yXg/S6bu854/lR1FPD66lbT2rqZemBGj7x6ws88IMSNv7yAtG9Dt753BwuLB/9aknBqpoJ1MVSNz2Ro7fmkdBuI7rH+Mje53Cx8FtvsPNY1bjHIIbmedN2RJlpzYglJ8BKPWKwiFqRRwytYk4ySw4Z/d6FpS1Y7EYd+cDqDu/w5cQoDj65YcyPM/BCqtnu5Ka9lSw42oACWtNiKJuXSvXMJCrmpAQcFRnKi1JbivM5fLXZ+5G9LT0GgLVvX+XdLbNBKXrsLrbuKOEbO0p4MEzKMCc7326UsgWp3PBBNUnNvbSnGX+frTtKpGsrAEngEc5TE103LZHeGDMxvU4WHakjpttB7fQEGvLiA96ursPGnCd2cfF7w1d7DDewKK2um9tfu0xKcy9nbszixOocehKihryvcBlZt23LUl45UkmP3UV1YRJVhUnMON/KPf9zhgvLMri8KJ2+WAsa49qBJ7FYFCM+X+L6nV+WybL9tRTtq+b9e2aFOpywJl0oEe7pexYDRpXFiTW5AKQ29hLb7aA73kpWVSfpNV0ktPWRf6nN7+q+Qxst8sLHd7Hqmd2D7vupnSfZuqPEL3mbnC7yLrex/jcX+fRPz2C1OXnzvnkc/ETBkMnbagqf5O3xvXuXGRtK8e5nZ7N/QwHapFj9TgVf/Lfj3PRuhd9zBcbzNeeJXSGIdmrITjRePz0JVk7flMXss82k1/Z3+433NZzJQKaTnQQ884qYnC4+85MzpDT3Dnt+6bIMTq3K8X489WU1gX3AdCzxbX3MPtNM7tV2sqq6sDhc9MZaKF2ewemVOfQNMSdLfkosj22cH1aJ21eguvrU+m4WH6pjzqkm+mItxPQ4KJuXyp7PzvaeI8O7g8fTxWftc/D5/zxFc1Ysb903z3vxO1xGFk+0cRmJKcLT0/cYo9lcZhMfbC7k1tfLSGnq5eTKbKpnJGF2aaK7HeSWdxDV52D2mSbmnWiktiCRitnJlM3vn3Pck7zNdhcFF1qYe6KRvKsdKKApK5bS5RnUFCZRPSMJpzWyF5x46eE1gwYctWTFsW/zTM6syObG9yqZdqWdwvPDzpIsxlFStJn2Pif2aAsla3NZ/YcK8q+0UzUrGQj9yOJwIy3wScLTCgdAa+I77HQlBe7SiOmys+BYPYWlraQ29uBSUFqcycXF6WTWdJNZ3cm0S21E9znpSI7iwtIMLi5JD7iwhK9IHjE3VF//qnfKmX2qiZe39g+FkBZ4cHla4Sani8/+12kcVhOv/cki7xw2U/H5lxb4JPf0PYt54tWT9NidoNSQyRugN95KyS35lNyST0JrH0sO1bLwaAMLjzYA0J1gpWJOCheXplNTMHLttoKIr9bwzD0zsEWuFZhcGrQO6gAk0U8BGnCZTRy9LZ91r11m9ukmLi7NAIyur0j5lBds0gKfRAItT2ZSYFaD+7UHyqrsJK7TRkNeAl2J1hGT1WSfxc/TCpx/rJ61b5fzysNLBl0zmKr9scHmt8iJ1nzqZ2eJ67LzysNLvd12kdRVNx6kBT4F+M5gOJShFo6on5Yw7O2m6vzZbe6kndLUMyiBv3ignNeOVXHiOzIJ1njatmUpv/i4AofL+NRzeN007v7FeRYerePUKqPS6sNLzew8VjXlXo8DSRnhFLOlOJ/SbXdTtn3zqIes3zw7jQvf3Twl/1na0mNwWBTrX73Ep396hiUHa4lvt3mPt/c5vaWYMhnW+Pn+F5Z7t2tnJFExK5ll+2u9I2YBnnhVpj2QBD6FbduylLLtm7l5dprffk/ddtn2zZRt3zylPqp6eJ6TnoQofvunizl2Sx4upbhpbyWfe+EkmVWdg27z4oHygPX0Yuy2FOf7NTAOr5uG1eak+IP+IfU9dteUH2IvfeBCDMHTD+4ruamHu35+HqU1DXnx9MZaOLMim5asOO85kVyNE258/war3iln4ZF6fvfHC2nKNUYYm4DLU6Aq5XrmAxdiSgo0t3hbeix/uHc2rRmxxHfYKSxt5dM/O0vagEnDpnrLcLz4tsKP3ppHT7yVNW9f9c4e6QKWffvNEEUXepLAhRjCluJ8nr+vCIvJvyKnMS+BNx+Yz2t/sohXH16C2am5aU8FZp9Sn0d/WTLB0U5O27Ys9XZn2aMtfLx+Gpm13cwvafCe0943dRfjkAQuxDC2FOdz8bubKNu+mblZgycG64m3UJ8XT97VDlbvLvfud2ljcJW0xK+f70pUVxamUT0jkRveryK2s39BE2/Z4RQjCVyIUdr96LpBF3xRil0PLeDK/FQKS1uMAT9urT12tu4o4cEf7Z/gSCcfb729UuzfMAOLw8WKvRV+50zFVrgkcCHG4KWH13ircyyenhWlsMWYibI5+dN/PMLSAzVkV3RgdtfaT/SapJNde3oMJ1fmMOd0s3dNU5iarXBJ4EJcI9+5wY+vNQaYOCwmVrxXxaaXS9nyk9NY+4y65amYXMab76efE2ty6UiOYs3b5Zh8lg2cGaByaDKTkZhCjIOupGj++6+NKq/objuf+e8zJLX0YfJZTXnWE7u8c6wMNFVHuo7FSw+v8ZYVOq0mDmwoYMOvL7L44zpOuufC1zClRmhKC1yI6xBoNGtfnBWtFE6Tos9nIeWhkjcYc9Vs3VHCTBnROSzf57tydgpX56VQ9FENCW193v1bd5SEILLQkAQuxHXYtmVpwCR+aXEaJpfG0ueenlZrFn9cy90vnWP9qxdZ+0YZN7xXyaLDdUy71EpiSy9o7V3GTZJ4YNu2LPWu3ANw8M4CtDIG+fheQJ4qq/fISEwhxlHh47tQLs3nXjhJYpuNX35lKV2JUax6p4JFR+tpzoxFaYjucRDT4zCmqnU7clu+d1k8s1Jc+t6mUP0aYc93hObij2tZuaeSDzYVeqechWtfuDscyWyEQkwQrcDs7vtOau7jxveqmH2mmVM3ZXPojmn9U/VqTUy3g5nnmln9TgUmnxkinVpPqb7csXpodYH3wvCZFdlMv9TG2jev0hdroWJOCmAs3L3qmd2TJokHMmIXilJqulJqj1LqrFLqtFLq6+79y5VS+5VSJ5VSv1NKJQU/XCEigFIc+EQBDrPirh3nmX2mmYbcOA6tn+4/z7pS9MZbcViMf8OBU/p+81fHZSDQELZtWUpStBkwFvR+97Ozac6O5Y7fXCLvSpv3vLoO26R+DkfsQlFK5QK5WuujSqlE4AiwBfgp8Jda6/eUUn8GzNRaf2u4+5IuFDHZLfzWG/S4h9THdtpIaezFaVG0pccOufhzVK+Dz/zkDFF9To7dksuZFdneRG8xKS5+V7pShrLgydfpdX/aiep1sOmlc0T1OvnN/7MEuzvBW01w4buRPeHVNU9mpbWu0VofdW93AGeBfGA+8L77tN3A58YvXCEi0/fuXebd7kmIoqYwifppiX7Je25WvN987LYYC298aT5N2bGsereSmWf7F1F2uLRc0BzGuWc2eac4sMVY2Hd3IXGddm5+o8x7UdPuYtKOhh1TFYpSqhAoBg4Cp4B73Ie+AEwf18iEiECeeawDLUinMPpuPVPN+i7H1pkSzUd3FQKw4r1KrH39iyvLIKDh+U7d25iXwOF1+cwsbWH5RzXe/Z4VfCabUSdwpVQC8AqwVWvdDvwZ8FWl1BEgEbANcbtHlFKHlVKHGxoaAp0ixKSybctS/vm+IvJTYlFAfkosz99XxJXtmwetoek7ujCh1ahlTmi3kVfW7neeLBQxPN/n8dTKHC4uTueGfdXMKO3/NDMZV/AZVRmhUsoK/B54S2v9XIDj84AXtdYrh7sf6QMXYrDCx3cR3W3nSz847rf/o08WUFqc5f35+ftkpOZwNjy3lwv1XQCYHS7uermU1MYeXn9wAc3ZxoIbkVpaeM194EopBfwYOOubvJVSWe7vJuAp4IfjF64QU0tfnJX3NxdycUk6Z24wkvaat8tJbehfKOLZt0pDFV5E8O1KcVpMvHvvbGzRZu585SIxXcbUs3Udtkk1yGc0XSg3A38ErFdKlbi/NgEPKKXOA+eAauC/gxinEJOWp7/80pIMPtg8k4xaoxVpjzJjizJ7z6tu7QlBdJHFd1RsT0IUf/jcHGJ6HKz/zUVvnf2F+q5Jc1FzNFUo+7TWSmu9TGtd5P56XWv9L1rree6vx/VEDukUYhJ50CfpRPU4yKruonRZBq88soSu5GjvsbyU2FCEF1EGTm3QlBPPvk2FZFd1sebt/uH2k2WKX5kLRYgQ872wmVveAUD53BR6461+5z22cf6ExhWp/C4Ua03VzCTO3pDJvJONLDpc7z00Gap7ZCi9EGFkxnmjakKbFHlX2qiemew9Jhcwx275/hpu+KDa+/Oqdyu4uDQdW8zkSH3SAhcijDTkGYNSPvmrC2z85QUstv568MIptljBeCibl+rdripM4v3NM7FFm4e5RWSRBC5EGDl7QxZ775kFgMOicJn8hwRJEh+btoxYdnxlGc2ZseRebcdlVn7z0UT68ykJXIgw4B2IopS3hWhxaL78T0eZdbophJFFvu6kKF5/cAH10xK47XeXyb3qP0iq8PFd3q9IIwlciDDw0sNrvNtVM5N45945tKcYFShxnfZQhRWxyrb7T15ljzaz+/NzsUeZWbGnEpPDhXJpv0UgwEjmkVQnLglciDDhLX9Tioq5KRz8hDG9UEqjf/13JLYUQ2FgEndEmdm3qZCMum6+/E9H+ZNnj/Cn/3iELf91ym9Jtgv1XRGTxCWBCxEmtm1Z6jenR+WsZC4tSmPuqSa/EZli9AYm8fJ5qZS4Vz0CsEeZiOuyc/fLpcaydm6eIfnhThK4EGHEtysFpTh6q1E6OPdEY4giinwDk/ixW/PY/fk5fHzHNF76/4p48/75WOwu7vrFeb9VkSJhAjFJ4EKEGd9WeFKz0Sq0WydP6Vso+CVxpaicncLplTlos4nm7Dj23V1IQruN3Ksd3tPqOgJOsBpWJIELEWY+vNRsbGjNxl9dAKApJy6EEU0OvqvZD1RdmITDYmJOhFX8SAIXIkxlV3Z6t8t9BqSIa3PwyQ1DJnGn1cSpm7KZdbaZ7PL+VvicJ8L7gvHkGE8qxCTUneAzF4rW3gEow7UkxfAGzgX+4I/2ez/xnFydQ9H+Gta8fZWd/2sxKIUjzKfokwQuRBhZ9u03vdueeVEac+L8Rg9G4oIE4WjnsSpv8k6r62bda5cAiO12oDToQOvihRlJ4EKEkXb3WpixnXZW7K2iPi+e9z81M8RRTU5bd5QAENdhY+OO8zgsJvbdNYOKOSloUwRkbySBCxE2fBfdLbjQggIO3jmdjtSY0AU1Bcw73kh0j4PX/9di2jIia851uYgpRJjwtAiVS1P0YTXd8RbvWo4iePIvt1GfnxAwefsuDhGOJIELEWZmnWkirsvBgQ0zcJn9/0UHDkoR1y+hw0Zb+uBPOQ+tLvBfHCIMSReKECHy1M6TAVeFWXSkHg1cnZfit1+Sd3CYnBqn2b/PO1Kea0ngQgTZzmNVPPtWKdWtPeSlxPLYxvkcvtocMHnPP1ZPRm039iiTX+WJCJ7uBCvx7eE/6jIQSeBCBNHOY1U88epJeuxGdUlVa4/fz/NKGsgra6dqZhIWh4vV71QA8P5m/8qTSGkRRqKWzFhjCL1Prf3OY1URsYSdJHAhgujZt0rpsTtZcrCWhUfrBx1PcLf8Zpa2ePcdX5MjIy8nUH1+ArPPNBPfbqMr2ZiDfeuOEkngQkx11a3GXN7WPicJ7TZqChLpTOofSRnXaac1PYbTK7NxWEw4LSYcUTJx1UTyrEOaXdnJZXcCjxSSwIUIoryUWKpaezh9UzaLjtRjizazb/PYBuZI90lwNWfF0Z1gpbC0hcuL0737n9p5MuyrUKSMUIggemzjfGKtZmyxFk6tzGbGhVbyG3r8powdjiTv4PFcItYmxeWFaUy71EZUj8N7PNBF5nAjCVyIINpSnM/37l1KfkosZ1dkY4uz8Lmzbbz08BoeWl2A2X3RzKwUD60uoGz7Zr8vETxXfJ7fS4vTMbs0c0/6L5zhOzo2HI3YhaKUmg78DMgBXMALWut/UUoVAT8EYgAH8L+11h8HMVYhItKW4nzvBbEP89J556/e4eoHV9m2ZWnYf0Sf7EwKXBqas+OompHI0oO1lC7PxBFtXId4NMwvZo6mBe4Avqm1XgisBr6qlFoE/CPwHa11EfC37p+FEMNY+dWVJOQksOepPWgd5nOVTgHPfbHIu330tnxiux0U76v27nMR3q3wERO41rpGa33Uvd0BnAXyAQ0kuU9LBqoD34MQwsMaZ+XWJ2/l6vtXufzO5VCHM+X5tq4b8xI4V5TJoiN1pNf2L2r8qHuOmnA0pj5wpVQhUAwcBLYCzyqlKoDvA08McZtHlFKHlVKHGxoari9aISaBGx6+geSCZN598l1phYeBGJ9h9Eduz6c3zsrNb5R5Fzh2YSz8EI5GncCVUgnAK8BWrXU78BXgG1rr6cA3gB8Hup3W+gWt9Qqt9YrMzMzxiFmIiGaJtnDb395G9aFqzv/ufKjDmfLOPbPJu22LsfDhXTNIr+/hxvf7u04+vNTMhuf2hiC64Y0qgSulrBjJ+yWt9avu3V8GPNu/AlaOf3hCTE5FXy4ibU4ae761B+2SVnio+Vb8VM5J4WxxJksO1ZF3pc27/0J9V9i1xEdM4EophdG6Pqu1fs7nUDVwu3t7PXBh/MMTYnIyWUys+8466k7UcfpXp0MdjsB/7u9Dd0yjNT2GW18vI7rb7t3vWYItXIymBX4z8EfAeqVUiftrE/Aw8E9KqePAd4FHghinEJPOkvuXkLUki73f3ovL3d8qQmfblqXMzTKG1TutZt779Cyiexys3u0/oCecqlJGU4WyT2uttNbLtNZF7q/X3ftv1Fov11qv0lofmYiAhZgslEmx7u/W0VTaxIkXT4Q6HAHsfnQd0RYjLTZnx3F8TS6zzrUw7WKr95ytYVSVIiMxhQihBVsWkHtjLu995z2cNmeowxHAP3xumXf75OocWjJiWfv2Vax9/X+fBU++HorQBpEELkQIKaVYv209rWWtHP3x0VCHIzBqwz394S6ziX13zyCuw86KvZXec3qdOiyqUiSBCxFiszfOZvrN0/lg2wfYe+wj30AE3bYtS72TXTXmJXBqZTYLShrIrOr0nnOhvivwjSeQJHAhQkwpxfpn1tNR3cHh/zgc6nCE24M+VSklN+fRF21m0eE6v3NCfUFTErgQYaDw9kJmfWIW+763D1tnZK7PONn4TjTmiDJzaUk6My60+pUVhvqCpiRwIcLEHdvuoLuxm4P/52CoQxFuvrXh55dnYHZqZp3xrwV/aufJiQ7LSxK4EGFi2qpplM9J5o2/e495W39L4eO7KHx8V6jDmtK2bVmKxWT0hrdkxtGSEcuiI/VE+yz88PODFaEKTxK4EOGi8PFdHL01n+g+J8v21/jtF6Hz/S8s925/tHEGCW19LDlY693nDOGEZJLAhQgjLVlxACz9uI7Yzv6+1nAoWZuqfKecrZ+WQM2MJGacbwGfxB2qbhRJ4EKEE5+kMON8i3c7HErWpjLfNUyvzk8luaWPzOr+v0mo1s+UBC5EOFGKjz5pXDgrPNfsl9ClFR46Lz28xrt9aVEavTFmlvp0owCsemb3RIclCVyIcFNanMWBO6eTW9HJ9Ev+05mGsuJhqouPMtbJdESZOV+UyfSLrSS09XmP13VMfPmnJHAhwkR2YpR3u7TYWPzkE69cxOIzB0coKx6mumc+218XXrrc+Pss+di/FT7R84VLAhciTBx8cgMW9/htl9nEsZtzAVjuU5ESyoqHqc73YmZnSjTnl2cyv6SRxJZe7/6Jni9cErgQYeTi9/pXhim5JZ9Li9JYdKTeW5FiVmqom4oJkBRt9m6XrM3FZVKs2Os/nH4iu7kkgQsRZnwX2T12Sx4mp4tlB4xW+AOrpocqLAGc+M5d3u2exCiOr82l8HwLBT4VQy9NYEWKJHAhwsy5ZzZ5k3hHagwXlmUwv6SBh2Zn+M3PIULj+fuKvNsnV+XQkh7Dje9VoZzGqkqaiZvkShK4EGHo3DObKNu+mbLtm/mP3z1ElNnEyoN1I99QBN2W4nxvXbg2KY7elk9Kcy/zjzd6z3n0lyUTksQlgQsR5pKnJ7PiKyso+Z8Sms43hTocgVEX7pkjpXxuCjUFiRTvqyaq15gjxaXhiVeDv0yeJHAhIsAtT9yCJdrC3m/vDXUows07R4pSfLx+OlG9Dlb+ob/Ms8fuCnorXBK4EBEgITuBVV9fxalfnKLuhHSlhIMtxfmkxlkBYwHkE2tymXuqyRhB6/ZokOcLlwQuRIRY+9haopOj2fOtPaEORbh9+9OLvdslN+fRkRxF8QfV3ikQXAT3gqYkcCEiRGxqLGsfW0vpa6VUHqwc+QYi6HwXQNYmRdXMZFKae0ls7R9iH8xWuCRwISLI6q+vJi4zjj1PSSs8XPiWdp5Yk4PTrFh2oH+IfTBb4ZLAhYggUQlR3PLELVx+5zJX9lwJdTjCzVNW2JUUzbniTOacbCS9tn+62WCtnTliAldKTVdK7VFKnVVKnVZKfd29f4dSqsT9VaaUCk6EQgg/N33lJhLzE3n3yXfRMjdKWPCdbrbk5jx64yys3l0e9EUfRtMCdwDf1FovBFYDX1VKLdJa36e1LtJaFwGvAK+Oe3RCiEEsMRZu+9ZtVO6v5MLrF0IdjnDztMJtMRaO3ppPVnUX0y73TwccjEUfRkzgWusarfVR93YHcBbwTsullFLAF4Gfj3t0QoiAiv+smNRZqex5ag/aJa3wcODbCr+4JJ2O5CiWHvCfbna8+8LH1AeulCoEioGDPrtvBeq01gGbAkqpR5RSh5VShxsaGq45UCFEP7PVzLrvrKO2pJYzr5wJdTjCzTvE3myiujCJnMpO0uq6vcfHuy981AlcKZWA0VWyVWvd7nPoAYZpfWutX9Bar9Bar8jMzLz2SIUQfpY8sITMRZns/du9uNwTKYnQ8m2Fn74pG4CZZ4M3R/ioErhSyoqRvF/SWr/qs98C3AvsCE54QoihmMwm7vj7O2g818iJF4M/74YYm7b0WKpnJFJYGrwV7EdThaKAHwNntdbPDTj8CeCc1lpGFQgRAgs+u4DcG3N57+n3cNqcI99ABJ1nYA/AhaUZJLX2kV3R6d03nhczR9MCvxn4I2C9T9ngJvex+5GLl0KEjFKK9dvW01rWytH/OhrqcAT+A3vK56Zgt5qYeS443SijqULZp7VWWutlnrJBrfXr7mN/orX+YVAiE0KMyuyNsym4pYD3t72Pvdse6nAEeNc2dUSZqZqZzPSLbX7Hx6saRUZiChHhlFKs/+56Oms6OfTvh0IdjsB/bdO6aQkkdNiI7bB59z37Vum4PI4kcCEmgRm3zmD2xtns276Pvva+kW8gJkxvvAWAmB6Hd191a8+43LckcCEmifXb1tPT1MOB5w+EOhThw2IzSjztPiva56XEjst9SwIXYpLIW5HHgs8u4KPvf0R3U/fINxAToi/WaIFb+/qrhB7bOH9c7lsSuBCTyB1/fwe2Thsf/uOHoQ5FuJkdRgvc5V5DE4x5xMeDJHAhJpGsxVks/dJSPv7Bx3TUdIQ6HAFE9xot7944y7jftyRwISaZdU+vw2V38cF3Pwh1KAIwuac5cJnVCGdew32P+z0KIUIqbU4aRX9WxJH/PELr1dZQhzPlmdyzRfp2oYyX8W/TCyFC7vZv3c6x/znOY5//Be/cOZ28lFge2ziff9tzgQv1/SvFzM2KZ/ej60IX6BQQ22XHbjXhtIx/e1kSuBCT0LsNHZwrymTuoVoSizKpAr6xo4SBM4dfqO9iwZOvc+6ZTRQ+vmvI+yvbvnnIY2J4aXXdtKXHgJIWuBBiFJ59q5SmldnMOlbPppfPeUvZAJxmxQebZ9KSFQdAr1P7JW+z3YnLbEL7fOQvfHwX2YlRHHxyw8T9EhHswR/tB8DS5yS7qotT7qllx5skcCEmoerWHnS8lY/umkHB+VbvfrPTRcHFNu589SIfbZxB9cxkv9vd9rvLzD5jTLxUnxfPGw/Mx+X+6F/XYfMmemmRD+/DS8ZzmNrYg8mlqZ+WEJTHkQQuxCSUlxJLVWsPlxelc3lRut+x7IoObn6jjI2/vEDlrCTOL8ukJSOW3IoOb/IGyKru4gs/PMmJ1TmcuyFrUItckvjIUpp6AWhNjwnK/UsCF2ISemzjfJ549SQ99sFzhNdNT+S3f7aYxR/XsuBYA+t3XvIea02L4eyNWZQWZTLtUhuLD9Wy+g8V5JZ3sPeeWd7WOEgSH42Uxh4cZkVncrR339ys+HG7f0ngQkxCnpF+z75VSnVrD3kpsUa3ivu402LixNo8Tq7OJauqk4Q2G63pMTTlxHkvtlXMTaFibgqr3iln0ZF6Nr94jje+NB9HlHmIRxUDJTf10p4W4/fpZTyrfiSBCzFJbSnOHzRke+bju/wqUbRJUTc9kbrpQ9/PwU8UUDstgTt+e5mb9lSyf+MM77Gndp70W8BA+Ets7aM1Y3wmrgpEBvIIMYVc2b6Z5+8rGvPtri5I4/SKbBaUNJDk7teF8V0ebLJRLk1Kcy8dKVFBewxJ4EJMMVuK8ynbvpmy7ZsJVJk8Nyvee9zXydU5OE2KBcfqJybQCOUpIUxqNt7oeuKtQXss6UIRYgq7MsJFyLLtm72lg73xVmoKE8m72u53zqpndkt9uA9PCWFKo7FoQ930xKA9lrTAhRDD8l1lvSEnnuSmXiy2/uqWOp+lwkS/rOouXCp4JYQgCVwIMQLfi5RNOfGYNKTVy4IRI8ms7qQhL96vamc8SwhBErgQYhSs7kzRlGMMv0+vlQQeiGe1eeXSpNX30Jjrn7DHe+IwSeBCiBE9+4UiALoTrHTHW8iokwQeyBOvngAgoa0Pq91FSxBLCEESuBBiFLz15ErRlB1Pek2X3/EFT74egqjCT4/dWLwhoc24LtCRGj3c6ddNErgQYkwac+NIbu4lutvu3dfrHDhR7dSW0mRUoHSk9CfwIKznMHICV0pNV0rtUUqdVUqdVkp93efY15RSpe79/zj+4Qkhwk353FRMGuaebPTb/9TOkyGKKPykNPbSF2OmK7F/EM9zXywa98cZTQvcAXxTa70QWA18VSm1SCl1B/AZYJnWejHw/XGPTggRdpqz46iclcSy/bV+rXAZldkvtstOd0KU3yIO47USva8RE7jWukZrfdS93QGcBfKBrwDbtdZ97mMyPEuIKeLjO6ZjtbtY/U4FaOk+GSi2y053fPDHSY6pD1wpVQgUAweBecCtSqmDSqn3lFI3DXGbR5RSh5VShxsaGq47YCFEaPgOrW/LiOVccSazzjaT1NLn3T/csmxTSWyXnZ6E4A2h9xh1AldKJQCvAFu11u0Yw/BTMbpVHgN+qdTgRd+01i9orVdorVdkZmaOU9hCiFDwnQirL9oYoLLocJ3fOYWP7/J+zf2bXd7a6ClDayOBB3EOFI9RJXCllBUjeb+ktX7VvbsSeFUbPgZcQEZwwhRChAPfftyzN2YBsPBYA6lDjMy0u2DrjhJvQp8KFzqtNicWhw6PBO5uVf8YOKu1fs7n0E5gvfuceUAU0DjoDoQQk1JfnJWPPmnMk7Llv89gsTkx250Unm2m4HwLmVWdg/rHXzxQPulb5lG9xjwxTkvwq7RH08t+M/BHwEmlVIl7398APwF+opQ6BdiAL2stVzOEmOxizMpb911anEVfrIU7fnuZ5R/VYHa4WHykv56hITeesvmpnCvKxBHdPyeIp2W+dUfJNcVgNcF9KwvYdaKGFp9KmIHmZsWP+/D1kXS7SwcTfa4NBMuICVxrvQ8CThsM8ND4hiOECHfnntnkd7GybEEa5y+3s/RgLQpoyInjo7sKyarqZH5JAzftraTow2ra0mM4vyyDsvmpfkuMjZp2JyKtURp+/YdLKA2xWrv3g0KDhr5YC44oMxfqu9jw3N4JSeJznjCeE8/vltgWBglcCCEG8p0nHODQ+mnEddpIaLdx9NZ8mrPjaM6O49wNWWRXdDDrTDPTLrWx9u1y1r4d/Hrx7gQrO766HIAL9V0jnH19HvzRfu8c4ACJLcZCDvYJWDtUErgQ4pqUbd/sTV62GAu7vzgv4HnGmpuJoDXzSxqw2F3owQVr/YY5pJVxglY+PyuF9h6D4n3VxHcO3a0yXnYeq+Kbvyxh4CwC2RWdABxfmxv0GCSBCyGu2UsPr2HDc3tH18pVitLirKDHlNhmY+mBmqA+xs5jVTy6owQXkFPezpKP60hs6aO2IJGUxh76os10JQVvLUwPmcxKCHFddj+6jodWFwxqOD+0uoCbZ6eFJKZge/q100bddHUnd//8PLll7aQ097KgpIGcyk4Or5vmV4USrOdBWuBCiOu2bctSv5V7AhnPUZqjrUIJhgd/tJ/WHuMxZ55rAeDVR5bwqZ+dI67L2F8xJ9nvNi89vCYosUgCF0JMiIGr3I8H3zeNiRjG73vBMrrHwZJDdTRmx9GVFM2pldms3FOJ06zojesfxJOdGLyuFEngQggxCr5vEHlX2lj1TgUA+zYVAnB6ZQ7VM5NQLvzKJA8+uSFoMUkCF0KIYQRq2d/wfhUpzb384d7ZtGTFefe3ZMYNOjeYJIELIYTbSN0wBRdayLvSTmZtN70xZsrnpg57frAv4koCF0II+pN3VK+D2E47jigTXUnGkmhzjzcw73gjWT5rgZ69MXvY+7t5dlrQLl56SAIXQkx6w7WsB15cved/zpDoXpR4oDM3ZFFalElr5uDV5oNxkXYkksCFEFPawOQe0+0IeN6ez8yibEHgLhHfedInkiRwIcSkl9zYQ2pDD4ltfVj7nFydn0pTTnzAc7sTrUR3O/j514uJ6nWgXMZY+b64wPN7P39fUVDWuxwNSeBCiElt0aFaVr1b6f1ZA8sP1NIba6EjOYqyBWnUzEgkvt1GXKed5OY+72pDtpihU+RE9HGPRBK4EGLSMbknmFr+YTU37KumfE4KR2/NozM5GtDML2kksbWP9Loubtpb6XfbjuQoTq7KGfb+Q9HfHYgkcCHEpOKZHNCTvMvmpbL3M7P8Btec8knQSc29ZFZ30ZoeQ2+che7EqEHzlYdLwh5IErgQYlK5uDSdov01xHbZcZoVaQ3dmB0uHEPMz92eFkN7WswERzk+ZDZCIcSk4llMuDM5iiO35ZPU0kfSdSxvFq6tb5AWuBBikshOjKKuw+Zd2EFpY2UeAIe1v63qm5CHqg8P56TtSxK4EGJSOPjkBiMhu1f7WXqwlh536Z8tOnD3SaQk6qFIAhdCTCqehRSie51opTh453R64wPXcEc6SeBCiEnng02FRPU6Ob88Y8iLl5OBJHAhxKRzcWlGqEOYEFKFIoSYNOZmBR4e7xHpfd4DSQIXQkwaux9dNyiJz82Kp2z75kmXvGEUXShKqenAz4AcwAW8oLX+F6XU08DDQIP71L/RWr8erECFEGI0dj+6LtQhTJjR9IE7gG9qrY8qpRKBI0qp3e5j/6y1/n7wwhNCCDGUERO41roGqHFvdyilzgKhmTtRCCGE15j6wJVShUAxcNC96y+UUieUUj9RSgVcHE4p9YhS6rBS6nBDQ0OgU4QQQlyDUSdwpVQC8AqwVWvdDvwHMBsowmih/1Og22mtX9Bar9Bar8jMzLz+iIUQQgCjTOBKKStG8n5Ja/0qgNa6Tmvt1Fq7gB8BK4MXphBCiIGU1nr4E5RSwE+BZq31Vp/9ue7+cZRS3wBWaa3vH+G+GoCr1xu0jwygcRzvL5gk1uCQWINDYg2Oa411htZ6UBfGaBL4LcAHwEmMMkKAvwEewOg+0UAZ8P96EvpEUUod1lqvmMjHvFYSa3BIrMEhsQbHeMc6miqUfYAKcEhqvoUQIoRkJKYQQkSoSE/gL4Q6gDGQWINDYg0OiTU4xjXWEfvAhRBChKdIb4ELIcSUJQlcCCEiVEQmcKVUkVLqgFKqxD1Mf6V7/4PufZ4vl1KqKBxjdR9bppTar5Q6rZQ6qZSKCcdYlVKFSqken+f1h6GMc7hYfY4XKKU6lVJ/GaoYfWIZ6nld6fOcHldKfTZM49yglDrifo0eUUqtD2WcI8SarpTa4/7b/2uo44QRc8ATSqmLSqlSpdTGMd+51jrivoC3gbvd25uAvQHOWQpcDtdYMUo4TwDL3T+nA+YwjbUQOBXq53IsrwGMkcO/Av4yXGMF4gCLezsXqPf8HGZxFgN57u0lQFUYP6fxwC3AnwP/Guo4R4h1EXAciAZmApfGmgMisgWOMXgoyb2dDFQHOOcB4OcTFtHQhor1k8AJrfVxAK11k9baGYL4fI3meQ0XQ8aqlNoCXAZOT3xYAQWMVWvdrbV2uPfHuM8LpaHiPKa19jy/p4EYpVR0COLzNVSsXdoYu9IbqsACGOq1+hngF1rrPq31FeAiY52SJNTvTtf4jrYQKAcqgCqMYaYDz7kELAnXWIGtwP8PvAUcBf4qjGMtBLqAY8B7wK1hHGs8sB9IAJ4mPFrgQ75egVUYSbET+Gy4xulzzueBd8L5OXUf/xPCpwU+1Gv1X4GHfM77MfD5sdx32C5qrJR6B2MVoIGeBO4EvqG1fkUp9UWMX/wTPrddBXRrrU+FcawWjI96NwHdwB+UUke01n8Iw1hrgAKtdZNS6kZgp1JqsTZmpQy3WL+DsdBIpzGNz8S41ter1vogsFgptRD4qVLqDa110FqP1/l/tRj4B4xPj0F3PbFOtGuMNdALdGyfwkL97nSN72ht9NewK6B9wPF/xljiLWxjBe4H/sfnvG8Bj4VjrAHO2wusCMdYMebtKXN/tQLNwF+EY6wBztsTyud1uDiBacB54OZQPpejfU4Jrxb4UK/VJ4AnfM57C1gzlvuO1D7wauB29/Z64ILngFLKBHwB+EUI4gpkqFjfApYppeKUUhb3OWdCEJ+vgLEqpTKVUmb39ixgLkYfcygFjFVrfavWulBrXQg8D3xXax3qaoShnteZ7r89SqkZwHyMN55QGSrOFGAXRrL5MDShDTJkDghDQ8X6GnC/UipaKTUT4//q47Hccdh2oYzgYeBf3C/+XuARn2O3AZVa61AnGI+AsWqtW5RSzwGHMD42va613hW6MIGhn9fbgL9TSjkAJ/DnWuvmEMXoMdxrINwMFestwONKKTvGTJ//W2sdymlRh4rzL4A5wLeUUt9y7/uk1ro+BDF6DPn3V0qVYVw0jHJf0P6k1jqUjaOhcsBppdQvMRpuDuCreoyFDDKUXgghIlSkdqEIIcSUJwlcCCEilCRwIYSIUJLAhRAiQkkCF0KICCUJXAghIpQkcCGEiFD/F9549XAmsuddAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "newMAP = MAP.union(Jacksonville)\n",
    "x,y = newMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.scatter(x,y)\n",
    "plt.show()\n",
    "MAP = newMAP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "id": "2ec1ff28-6f2d-4d14-b10d-abb762cd678a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Do we need to slice out alligator alley?  -- no, it's already cut out.  And, current southernmost district spans it anyway\n",
    "x,y = MAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.scatter(x,y)\n",
    "gatorAlley = Polygon([(-81.7,26),(-81.4,25.5),(-81.1,25.8) ])\n",
    "x2,y2 = gatorAlley.exterior.xy\n",
    "plt.scatter(x2,y2)\n",
    "plt.scatter(vtdCPx, vtdCPy, marker='.')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "id": "93e74ac1-12da-4b3e-8986-2174821d2e40",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'shapely.geometry.polygon.Polygon'>\n",
      "339\n",
      "2176\n",
      "2574\n",
      "2575\n"
     ]
    }
   ],
   "source": [
    "#finding the TRACT multipolygons to clean them up (like we did for Ohio)\n",
    "print(type(tractGeom[36]) )\n",
    "notPoly = [0]*nTracts\n",
    "for m in range(nTracts):\n",
    "    if type(tractGeom[m]) != type(tractGeom[0]):\n",
    "        notPoly[m] = 1\n",
    "        print(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "id": "9235c8a4-3aac-4448-834d-ddac4956554e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wA3h3VS2rb0TN4zm4Fnh7S89Bt+/5wBeB36+q/x7lnLOZ63lo7RW470KZ293Aad3ttcDt3e3PAy9J8uwkK7tjvjWC+QYx4xqSjCVZ0d0+FDic3rnk5WjGNVTVqVU1XlXjwF8Bf7bc4t3p9xy8oPv7Q5JDgBcCd45iwAH0W8O+wGeAP17O8e70+3pukqdQ5nY+cGn3RfYwsA6gqn6S5BLg6/S+MfLZqvrM6Mac1YxrAH4N+NMk24HH6Z27/PGIZpxLvzW0ot/8pwAXJ3mM3r8e3lRVy/W/OO23hrcAhwHv6v4lCnBWVW0dwYxz6fv3KMmd9L7BuWv3jfGzqmq5vigDPIUiSc3yFIokNcqAS1KjDLgkNcqAS1KjDLgkNcqAS1KjDLgkNer/AAwKFWxbw+lRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#let's try to clean up these multiPolygons\n",
    "cleanedPoly = [Polygon([(0,0),(0,1),(1,0)])]*nTracts\n",
    "for m in range(nTracts):\n",
    "    if notPoly[m] == 1 :\n",
    "        cleanedPoly[m] = tractGeom[m].convex_hull\n",
    "        x,y = cleanedPoly[m].exterior.xy\n",
    "        plt.plot(x,y)\n",
    "    else :\n",
    "        cleanedPoly[m] = tractGeom[m]   #no cleaning needed for Polygons\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "id": "f64ebb14-e80d-4346-88c5-183346aa7335",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#from below, there is a problem geometry near -86.7, 30.39\n",
    "#let's plot the areas around these.  Start with blue in NE Ohio\n",
    "brokenTract = 1519\n",
    "targetX = -86.7\n",
    "targetY = 30.39\n",
    "rMax = 0.2\n",
    "for m in range(nTracts):\n",
    "    tractX = tractGeom[m].centroid.x\n",
    "    tractY = tractGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        x,y = cleanedPoly[m].exterior.xy\n",
    "        plt.plot(x,y)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 260,
   "id": "6794688c-62b7-478f-866c-4fe85bef5ca2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'shapely.geometry.polygon.Polygon'>\n",
      "7\n",
      "52\n",
      "79\n",
      "103\n",
      "144\n",
      "165\n",
      "178\n",
      "188\n",
      "278\n",
      "299\n",
      "421\n",
      "430\n",
      "508\n",
      "524\n",
      "543\n",
      "547\n",
      "600\n",
      "605\n",
      "851\n",
      "860\n",
      "864\n",
      "867\n",
      "872\n",
      "874\n",
      "891\n",
      "902\n",
      "907\n",
      "911\n",
      "913\n",
      "917\n",
      "918\n",
      "919\n",
      "920\n",
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    {
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PaPKxlJahemIqSiuxWsvZsuVaKqv2A+DmFk9IyFVUVx8iO3sOAN7euURHRzf52K56V14c9iKPL3+cYXOGnbBuT9EegpqRwN+/Y8pJy5Z/+TGXP3zG7h5KK1IJXFFaiZRWKqv2o9G4kNDlOYKCrkCjcY7XXV19iNLSDQwZ/DWens0r4Y6LGsfbo97ml7Rf6B/cnxD3EPxN/iT6JjbreAaTB5YaZ3d9Vy9vYvv0Z/RtdzfrWErLUAlcUVqJweCHr+8wamqyCAm5qn653V5DaekGADw8ejT7+EIIRkWOYlTkuZnU5IFPv8ZqrkWr06NpYh36sv35uBt19I32PSexKKemEriitCIfn0EUF69kw4YrqKjcjdEYjJdXn/r1DkctWm37mZ5Pb2z8HK/SbmXL95+RUXSYQ8s2ITDg++pbdIps+lgtB7Ytx1peyZbqt9EHPYUM7s6W8mpe7aKGQT6eSuCK0opCQ6ZQWroeu70GjcaAxVJIfv58ADw8urVJ8q612pk+bzerDhZSVm3F06THqNPw10sSuKR7cKOPY545nj65G/k2fwoBgMRCp497wPSyRu2/Pq2Ih97+kbv0lUSOfxuAfxhmYS51gdIsAB6MCiLCRbVpP0qNL6oorchg8CW558f06f01o0buZeiQtfj5jcDFJYIuXZ5vk5hWHChg9sYsKs02ruoTTp8oH9IKq9iWVdqk40hPZ+l4fcI+AoO7MTo8q27FmTtgHyqsYui//2DqjHVcVPA7JqOJqipvAPqzFoCnOjknp3ghNbtJMZ3vVAlcUdrQ0YTelgbE+AFQUWtj+hXdkFIyb3s2Bl3Tynem6z9h45sDGV/5HaETv6MYsA3LR9dAV36DTsPhkhoA0txiuNOWwMebLyc4OIXrO3/OJtmfpdlZPBYdxuvpedwYWsFQHzVhBagSuKJc8Lxc9Uz1TyfVcB2zP3oDi93ZNt3YxAQO0O+Ru/jrU0sYOWInI4ZvR6c3NrhPmLeJV6ckIrSVbPLqgwbB1NrBlJUF4kk5VzGHtbU6CgrWE+Vi4O8HDmNxOBo87oVAJXBFUXhwysUstyfx7kFfnvt5D9C8BA5gt9sRwgWdzv2E5WnVZm7ekcbeypqT9snVzMe9878wdP8n80oW44EJ74pYamrcGcevRMgM5le68XC4OynVZt7OUEMvgapCUZQL1pycYh7al8nSfl1IjIojcPpyNK8vZ9b6TIw6Dd1CvZp13C+u7knvA3Z+/+xeHun7QP3yxYVlLC4qZ3FROYb1BUSgxWp3YHNISsw+uMc7t+t89Rz4fRz9arsxb8NkEJLbhs/gOfECP2z7ismdruWtjFyuCPSms1vjW8mcjxqckedcUjPyKMq5UVtpZfsfWexZnY3VbEejh0unJREa79PoYwQv3Vb//OCwHrjrtBwuqWZvTgXJEd4EeDRc/XEqX4/vSvIhyXOv9uTry2fXL8+utdB7rbN0j83BVQXgYdSh0wq+XJcJwJioxfSy6SkscqdLQR8KpZ6iwHV4eeWyoWcsyxnNc9LOKwYX+ni68XXP2GbF2NE0e0YeRVHaDyklu5Yf5vOn17Dp13QCozyxme2YK+ws/nJOo45hNuezdt047pTv1y/7bUVvNm66inAfVy7qGtTs5A0g+tzMp+PG8u6od09YHupi4NujCVenQUS48fJVSfxrUg8OvXQpAL9njKPH6Me5pu8kSuxuuJatRWNzoawsiKl8gStVvCislNscLC2uYHtFdbPjPB+oKhRF6QDs9lrKy3ew6PPZmPxTcQkczFW33YdfqDtrZu9m67I8qvI6Y66xYTSd+c9aqzVRXZ3KSFIZKX+vX15evg2Hw4ZGc3Zp4dp/Pcm1p1k32Nut/vl3thqGfXANIz28CbpxBl2CPNifV8E9c7Zx/+g4wgctwGfUaK707M0fv1+Cp93Cw5pXWGi7is5RYwgy6IkxNf+L5nygEriitENS2qmuPoSrawy1tTmsWTsCgIC6nvbuIbsoKe1Nfq6g9xWDcQ/yYuWcA1hrG07gOp0Hfft8z+Yt1+CcbMspPPzms07eDdFqNLzXJYL79mfhYq6ha1UaQXkpwAxm3TmAlSkF/Hd5Gq8s3M9/rr2FYZFhAHhvzKMzn9AZcGS8xYCpJgZMOt3XxIVDJXBFaQXmzHLKl2RgPlQONgeel0TjOfLEbuHSIanemo/QCLKrvyLD/M5JxzEZBlBjWQ9ARq5zYKmdn4ynYOdk5zEaeUvLyyuZyIi/kJH5XwCE0NIp5qHmXl6TXBXqx1WhfizeuId5Jf2w3PoDPWwO/N2NXNkrHE8XPXd8tgk/t2Ol6/JNeizD8jF7ZBJR1JlVX3+pEjgqgStKi7vj5x9IdTXzSbo3epuzaV35wnRqdxfhdXkn9IGuWLIqqN6aT/UWZ/O4km5bIezYMcLDbqJLl+kA7Fj/LUVFS3AxxGCWG/HrvBk/z3txMelx9258lUJs7GNERU1Dp/MCJEK03i2xWmstws2PmfYJzPxoJ7CTlBfGo9dq0GudcezJKWNovD8AI75ewP+9+ACVjmLik0IocbkBi6UGg6H9jBvTFlQCV5QWNt+9EwA5xlwirceWW7IqKHh/+wnbunTzw2tcFGkbUgCI1j9KzJC7TqjaSBowBXCO1Z2TM5c9ex+n70QrXp5dmxSXEFr0eu+jr5q0b3PZ7Hae/b+3yPLezn0ZPbhLV4DNpCdD588Lz2/EonNjvr0nADqNhvTCKka+tgyACa49ic7JxvNgLZVTlrN45fN0j/qB6LiEVom9PVIJXFFaWM7Inmzcsx1fLzNUulGFg99K7Xh5ZjBSE4ch2hPPMZHoQ93RuumpqkjD6paHxm6i06h7AZDSccoSspdXMgDVVQfx8uzZmpfVICkl2dnZWCwWhBAIIUgrOoRRCuIquhDiPpAehX+wyVvio7GBAwy2KjoFuuFu1HFZUgi5ZbX1xwvT5mEoK8AKjFvUn85eN7C+1zaVwBVFaTlCCPp3S4ZuyXR6cj5LpQGjsQi7MZNDl/fHtKaA8F/MBD3UD0etjZI859jgWo0rdns1y1ckYTQGM2TwyhOSeHn5DnbsvAcAvb7p425nZGRQWVmJwWAgNjYWjebcVqFkZWXx8cd/GudFQowowSRLmFl4mMOeQXw0fTrl5eW88cYbREZGMv32IfWbB3m6kP7yZUi7jdnf17ChdgnhGUew6QyYNZCQsItFf3QhKux+Ero8wIVGJXBFaUUOoNxcwezk/xIvXcmfl0+uwZc7vvqOT+xXcFPhZawOSOWh3t9zOT9gXZEEgNmcS17+fIKDLkdKSeXBb6j67UECAvxxSX4YH5/BTYpjy5YtzJs3r/71VVddRY8ezZ9M4lRCQkIYMGAAO3bsoKbG2X1eo9XgM2IMW1ZsQYRreOGhafXxAIwbN+6UxxJaHdddczXXTrmKL3+5kb9pk7l85/fM/WYAhUMmMfnIdzxu3EtMdPNmH+qoVAJXlFb0U+DbmEr28c6/XZk7oBMB4TlkVVRi0WsIsDl7UXpoUwEwc6ybeEDAxfi59qRgyW24bf8Vj8oaPICQvMOw/0WIWw/+XWD446A/dmOvLD+P8oI8Vs3+gi6DhtL70okA7Ny584S47HY755per2f8+PGMHz8em83GwoUL2bRpE0FuQdx1111YrVYO7TvEb6m/cfDgQeLi4ggPDz/pODU1h/ls50x+yxrLGyl6RpXeTQ9jLmmbbcS7FfKMw0j3sZvZsXEFMdFrzvl1tGcqgStKa5GSxIpNHHELolKrIbDCH3N+HvdMeZDEVz8juW6zcHNv0jUG3nj1KxjoXFaa/Su2X78joNqM2aChLDQC4bDjNvp1tAeWwKaPgZ8hbgxEOUvjRUey+PTRe+pPn31gb30Cv+666/jyv5+RWXQEAJOpZVtz6HQ6Lr30UjIzM/n1119PWt+lSxdGjBjBwZQM3pm3kocnDyEg0MbBgy9RVLSctJpbeW0T1Hra8OsViP9W6NZ7KWg+45WYSLI2JJAeGsTEFr2K9qfBBC6EiAA+B4Jx/gKcIaX8jxCiJ/Ah4A6kAzdIKctbMFZF6diEIG3aZnbOfQKXf24gxn8VFq9pJPYZeeJ2RndcgL69fmXP0rsIKCwkOXo+pppiikbcjM+wVzHqjhvEqfOlkHg5fHElHFdHvvKrr084bGzfAfXPDQYDtz9wJxUVFdjtdry9vU/Yduc1V+Br2Yb3UB8qI0cTdM2bZ335Go2GqVOncuDAARwOB7m5ufgYPem8zxO2W9j3+wr2aH24bssXjMv14P7I/5Hc8zAxMQ8zcft8dHIkptE2NK4W2ApltoF8runFkDQTs2suZVTJNg5uXkdcn4FnHWtH0ZgSuA14TEq5RQjhAWwWQiwB/gc8LqVcLoS4HXgCeKYFY1WUDi8hJJqEe74BwGyrxKg//cQEh1Puo0ibi4tvKP/1msKbNW/it28rVD8NAQkQkgx6FziwCHbPde5UN8s9gM5lKBpdBg5bBgAefv4nncPD4+TzZyybj25HCuW4YcmrJHrcx8zb/gRX9Aw9iyt38vPzY9CgQfWvHTU2sletxVGVzx5tAPn2j5g/RM8TBXOZ5raC5dprMOh98Q8YDoC027AXWQBIl1fgWw6xoorRvvtJzEil9LYHsC76EX1I2CnPf75p8miEQoifgHeB7wEvKaWsK6UvklKesSGqGo1QUZpm8Ze/sHnLN2gdWfzV23mjD50JbH8aUzskGTqNhFFPgc7Zmae63ELatjx8g2sAOwFRMY2apLiqvIjM/kOPHXpACeKDLLxc9WfYq/kcFjulc1cwJSCTUYtt2MwleB5aSkBSPiM8D5HS2wtDVQgxq1/CeIUen+7JpL/1C0OHxdG1ZjeXLPqNoNyD5BmLKBlQy0sFRY2eh7OjON1ohE1K4EKIaGAF0B1YCPxbSvmTEOJR4Fkp5Ulf50KIacA0gMjIyD4ZGRnNuwJFuQBZ7VZGftabi6oqmV5UDI+ngMkXig5C5hoozYRukyEk6Zye115WRvGnn1KzdSMBj/0Nk3kjO9KOsC74eow6LTcPikI0MFVaY9XUZLJm7SjnC4eW1SuuJ8ThQ9S+z/F47u/cWRRPUI3ksz8qKDcIavQCqa1hXswints/A4C9s52/Du58QMuqgizmcjNXTj95KIKO6qwTuBDCHVgOvCCl/EEIkQC8DfgB84AHpZR+ZzqGKoErSjPYLNjLstD6teHY19OdkztE134FwCtXJ3FN34gz7dFomVmfkJLyL3BoWbnqeiLsflxsTaaQfaQ/cjUPfLQR28AA7j9gIUloiTlSi7dF4qZdiI/eOWRt4QFXDqT6YJpUQGH1cEqqb8Q9fBuXPvLsOYmxrZ0ugTeqFYoQQo+zymSWlPIHACnlPmBc3frOwGXnLlxFUerpDG2bvIGH5BT2W/rUv3Y1aM/ZsSPCbyUl5V9ore5E2P2I6/ErVRlaVnTqQ9CeN+nrsocCxzV8ERvIvotGUlVhZtV3e6kpvJjhJUY0nrl4R32FcVcgH/o+TXhtAbe7PcbYvFd5cf1eDlabyR2VfM7ibU8a0wpFAB8Be6WUbxy3PFBKmS+cXcP+gbNFiqIo5yGT6ERnfTn7nPcP0Tah+qRyXQ6Vq47g0tkH7ytO/iISQjBi+A6ys2fjeiSFCv/91Bb34H6fUjTL/8NUgFVLeNzlXuxjRuDmYeTi25JZv+kI1d8JcksrcPtxKa5YePitmYRMriTZ/j6+lHGwqhaE4Ie585l85flXxmxMCXwIcBOwUwixrW7ZU0C8EOK+utc/AJ+c+/AURWkPNO61dO+9nkHV37E5dRgXd7u00fuaU0qwFdZQY3OcMoED6HRuREbeQeRfwFr6D3Sj3BCrTmy6+HLNh/RZewMSZ3tmR7WN+0N1hKcfJg5AqyPkxf9Q2i2Mke99REqP7ty8cxW7DD74ffFfKv09cR82rNnvQXvUYAKXUq7i9EOV/efchqMoSnv0cZ/JwGRmuV7FJd3nIeVr2G0SbSNmrpcO5302e6mZ2tRSXGK9z7i93rtuNvthjzpb1sx03uC8J+g1Rvt5okGgEbCzooZne8DdMZ2IWwB7xowj3FuLf14h3mEGUmOSCM/fzTfh0WQVF5J15zQ6/fIzxri4s3gn2hfVE1NRlAZNMbiw0ewc4rZ43yV8+O0yAO77cHSD+9buLT72fHdRgwn8BGG94c6lSLcgZnqf2LZ7T2UNozfu57+uvvj1G8LYxQs4vHgBAHcBw9amk7h7M1nH7VPw3nuEv3n2nZLaC5XAFUVpUPc5uSRY3NjHTPyKdqF3WUeNR29K86rxDnI9476ufYOwHCrDrX8Iph4ndyZqUFjvU1YBdHU3sbBPZ/KzDpNZW8PufgNJ2LIRg7c3wc89R6SbK9JuB4ej/l+XxPNrsCuVwBVFaZC7jwv+Ee6MubELKcnOW18zL9vK9j9iGHFdlzPu63t15xaLK9nTFYuXK6k7txDy0kuIayaT/cRfOXLffehCQpBWKzE/fI8+MLDFYmhLrTeHkqIoHZaUEgFojcfKfH3SfMjPqGi7oOoIvbOHaPXcD7Dt+KN+uaWqCnthIUU/zTvdrh2eKoEritIwCdTNqtN52zZ+nT6fsmIP/vJwcltHhtYAQuegbEMmbMgE4PWrrsauhW77txKx7QcmmifgYgxu40jPPZXAFeU8J6VEShsaTfPHMtHqNaRszCN1cz4OhwS88QoyYXBpuRSSunk9P776L/RuE/EKTOTmFwefsvu+ZukzxF+Rh92igRu+x2a18UtVAADdXAvw77eY1asGM2ZM2kn7mmts/O+RFVx2XxLRzamfb2MqgSvKeWr+/Pls3LiRIXYbhoSv0UYFMWTI6maNYdLvshgydxdh8jCgM2gwmHREdT/jyBln7ec3XgIpsVv2U1nSibL8mlPfME1fjdYg0RrsoC0gXxvCuA0b0NfW4lNVwZiVRVRpdTDm5F3/98gKAOa/t4M73xreol9ILaFjRasoSoMcVVWkTZzExqHOuSULZCS9njdQ06uI2u5ZmLwjm3zMuD6BxPVp3RuBN/37bfatXo5f5DBsVj2eAaeZdOLR3VCUyhtvvMiKr7Nx0eWxXhPL5z89h5+jhB6POa/3vcMrGB4+/MR9Bc7qISBtWwEJA0Na7oJagLqJqSjnmYrff8d6+DCXLPgVU5UZXfp+AExbNRy55s4WO++qb1J47+4/+P2zPc0+hpSSjKIqHA6JX3gkQ6beRMKgaLoPD0OjOcMvB79Y3rZPZpuMZ521E9Is+TV6APaEY7PaP7P6xOkKygpq6pM3QNZx7dU7CpXAFeU8Y4iOBsCrvJwrfv6RHpsW1K+zZma22HmNbs4f9PvW5jZr/1qrnZi/L2DEq8v4x0+7mrz/yr+OwvO4KpCvEsZxeaf3GeXRlfF5Q/j38H+fsL3JQ09QjGf9656jz83oiq2pyRM6nA01nKyiNE9NhYXqcudIUgtS04jKLKXzxP4Ee5w8QYPDYqHkiy8pX/07tWu2UBzkhdukqcTExaHz98ftuBlxziUpJbmpZXgHu2JyNzR5f4vNwZFh8dSWGPij81DufH86hvCmzaxzML+SsW8sByDM28SkXqE8GKdHajW4RMeccp/slFK8g1xx9Wx6zK3lnEzocLZUAleUpstOKeXnt7dhszoACLAsYHDgRN7rrOel28+v+R/3JhzrKWmMjyd69tdo3Nwavf+DX29l3vZsAPRawQ3xX9FLt4deXT7Aq8CB+4i+aN30SGknI2MGBYW/UVt7hNDQa4jt9Og5v55z5azGA1cUpW2UFdQw7+1tuHkZCOzjy8FF2eQTy86yXdiSxzXrmLbCQiwZGZSbjdywdDvZVW78EuBDp4eGITRtW6uqCwnBlpMDgDklBWtuLsbYxo+Fft+ouPoEbndIPt13HVt9U3h6w140rrFUrFrH9usz+Dl9NlNc99bvl57+XrtO4KejEriitGOrvjmA0AgmPdqbz59aA4AwdGH5zR68lNypWcfMeWEOtvwaivfMI3D8BH43vEB24X189jeJV7AnIXFeePi6ENnNDw/fhufQPGXcr6wjuthK33HuJLmb6OXhyncHD3GvayXT3HpR9mMqAJ967uB/5dE81DefUe6JLB04nLHzvsMt6SoM0aMp/aUMa85KAu7tiTHSkz2rs8lNLcPoqqvrWATOVpECBHgHmgjzNhGYvoaBpRuZG3wFEXkfs6XqWSosRSR7fsWTm/cCkrxKI2OL+iGlhokT/96s62xrKoErSjtWUWzGP8ydfblrT1j+8qB+zT6mMCah8chEb6ngGv3vAHiJ7/AIuBJzjY0tizKRDknPMREMnRLfrHNEF1sB+L/Z2UiNCZt5F/dWL8agcaEs6tiNw88qnE383qyIwWXHWsqMsHRAfyYHjgUJ1pwqAMxpZRgjPVn6xb76fXV6DRJn3TsSHHZndfDCV4cw4y/OuWem5MzFISKo1v7IN33DWKuP4rrSI8xy1bN9z6NMlC74BRqIiGi58VpakkrgitJOVZdbqC434+KmZ/V71ehxtoOu6PULZvMQjEZjs44b/vIwNixYwILgiUTac/hmTQ1C60tl9BFix3RlzC2JfPPCxhOa2DXVusIF7A438M/QtwAIGb6Uv87chCk474Tt+rp+weH4SfSvWInO0YvuBWWkh/ZAhrhQlZaPm84DHDa+/yaFy+O86X1xFFsWZdDnkigCoz2dpe+6jknpOwrZsyobS7kVndFIUEISRW6hFB/ajGvOYTovKyJ7bGdmJb3Hc1kHqUifwdiYv1GR0/GaDx6lEriitCOVJWbW/ZhKXno5pXnVAAy/OpZFn1TXb7PLy5fDhw8T24S64T8rkJICdy+6FjnY/LSOSjy46bGnebpnDH3eH0cU3U8/jUsjOMatpvvu4PpjTKj+gaQ7V4PUMWPZm0yzPkJZyhK6T7ORSzazgq6FOLjn9x1E6L8nM+RXIg8/xTdprxBdUEpN3D+Z86+NmDycwwFsXphxyvO6uOkxeegpcUgq9m0iMigKXW01lXXrQ/e70stwBMtaH4TGlzmHnE0LE5nY/IttQyqBK0o7Ybc5+OmtrVSW1BLZzY+gaE+CO3my6JN9J2zX/6eviLnmqbM6l7e3N5W6Kp5PmAtZ8HBqDEIYyHfPwJ6cT+eqoGb3vHRYLHR+q4jlw3pS4uLO3xx3cJVLGv7+V5AQ+3eWfjuKyb3v4fV9VgYtDARTAtYB+QyrXoTJpZqowTnUAgcuugM5szsOIah2TcdUG0tNhbX+PNc81Y/jW9FJCd5Brth1Fj4NvwONtPJv/934hIaT6VdJVlUan3a5CoRg6I6FDPW7jWH/NxyNUescbbEZQwy0NZXAFaWdKMmtojSvml7jIuk6NBQhBF8+c2Ldd9T+v/HheA0Pnqa1iM1WwaFDizCZehEe7iyh20pKKN+xlaxYTzr5JuDh6k5453Du9+vN7evnANDHtJa7buoKFNOlWze6xcUTZGze4Fe2/Hw05UZGLlhLrtWTGfueO2H98+9uZ3p5OeJaHTvXrcLtixVcfbiSSj9Bn8sXn7BtZedkdncRwBEstTV4lCWgkTq0Og0BkR6nicCZ1hxCzxNFyVzWI4R/TerKLT/dwG3LZuJXaWSq4UqEXTD3lVeZHjmLEeEjeHfMu8263rakEriitBNHO79sXZzJ1sUn9pg0G6y8cmUQOSPWM+EUyVtKycQtKWw8XIZxrYnLgmfw7kMvg8NByqDBSAQrRjzHKkpJdk9jp08O70V8xztZZtb4Xs+XAUcQncZTQBT/V6Dl/wr28H+xodwb2fRSuCE8nH1D7mawTyKF9vST1u88uIuk2SMACL9tK+g+oyw4Bml0YeeO0fRIco7pfSBtGiOvGMCGxZupNldgcSkmtocb5Yf0+IWeuW24h1GHp0nPkdIa5u/MYf7ObEKCAjjkWkRE3rXMq7bRy1SDny6cqSmu9CvOP+VgV+2dSuCK0k64eRuZ9EgvqsrMSOmcDDj10EH2rlnDgMGhrPH2PW077a0V1Wwor0Zb11uzRNsPIQRSo8HzilGs3ZWLRviir15IlM/lRFUmsqJ2FiNteYy89mYuP2SnttbCG52cY2Y/ui+LfIv1lOdqiCW7ksE+zg45/trok9bP+HEuR8u6/u6SG194g3dnzASge+wEDNxA/8GDGDPaeZN2zaI1GI1GJk+eTFxcHFqttlFxXNwtmCcu7sKSvXksWLmZ1R6r2Q0MPeQJ0k6J/I1wvWDQsEKgkNryalw8zzw9XHujEriitCNhXXxOeJ0wKITLrh/W4H7d3E346rWIGC9euiiRK4J9ARBCEDbam2TP7zlsKackL4xfsj7g6k57+KqgHO5aAb6dGFiSzdW/PYdbij/9xg3GJGKb3QjFVlRT/1zrdXL39LDueTxaeiuTAyMY6heLP9C/f382bNhAYu++eHl5UVlViURSXl6O3W7H3d2dLl3OPHXbUQ6HpNJs4+PVh1iwKwe73UFBpQY0/2SY4TeS97zB9m6Psa/Uk95BktQy568My4afcRk7tZlX3TYaTOBCiAjgcyAYcAAzpJT/EUIkAx8CLoANuFdKuaEFY1WUC5bdXsNdK96mH12YNnKis3RddwNPCIFRo2HP0B4n7ffjf29kTzysjXiJ0sM6VoY8cGxlQE8I6QlAv8LdjMtxTj02YnNvatw1VNnszYrV1M0fUw9/pF3id13CSeufvOwDHI4atNpjpV2LxfnLYebMmfXLdDodNpsNjUbD6NGjG33+PTnl9V8+RZVmrHXtwzvJEj6unsMqMQGAA0E2gmvfZfSBQRiq03AV02D0FGjj3qhN0ZgSuA14TEq5RQjhAWwWQiwBXgGelVL+KoS4tO71yJYLVVEuXFlZX/MLF5Mr1zN1/iFq1n/Kir2+GM0lTPj4fnQBzhloZt/2KPGevYl6aBj+naKoKXRlScxIlh66hy2OOLjsFfj1r86DlufUH39Y90H88ssA9jsiyFjtCxfDlznFvJbQ9LHDhUbgd8PpZ38XQpyQvAEmTJhAt27dqK2tpbq6GqvVSmlpKb6+vvTs2RO3JoyHUmt1fvF8fnt/hnd2vi8vLtjLJytsbA5JJGLoQt7w2oqv9mZ+KnmA770i+KLG+Z7klVcT5O3e1EtuMw0mcCllDpBT97xCCLEXCMPZzP9olyovILulglSUC11o6FW8uvNFuuxMwO2OIHL++j0i4TYcGgNp10yl89I/kFIS4daZIFMUe1ctZVinW9HHjWDibzOZ7R/GwpJr+HTAXbDxIyjcD77O0fkyyzPJOHiYBWIcC+yJ+EZXoTcKnowJg6yNsGM2jPgbuLfchA46nY74+Ob1+vyzU7UGNFvtWNFxXd7feabfp9zmlsUX+4J5ZMQQavRu3N35fp7s8RDRHSh5QxNHIxRCRAMrgO44k/ginE31NcBgKeVJreuFENOAaQCRkZF9MjJO3QBfUZSTSSmRDolGe+LPentZGQcGOEci7LJtKxoX55glVaWllB3JwebqyseffYIEHnz0UTzc3TEcrRoozQKbGfxieXHDS3y972ve/28XgoffA0D8y2OIeeYLrgl6jsdLCgmwO0BrhGfyzxhranUtSwrLuTnMH1dt21VDbM4o4aoP1vDpbf0Y2cX5pfPbnjz+8rlzJNRfHhhK9zAv9qz7krer9/KjmMIL8jFuHDoHo6F9zot5utEIG/0uCyHcge+Bh6WU5cA9wCNSygjgEeCjU+0npZwhpewrpewbUPczT1GUhlWXl/HWjXfzzl/eIye1rH652WYn0wzGpSuw/76uPnkDZCzbiOOLQj7+7BNETD6WMgs8F0PKy8eVnr0jwD8OhGDl4ZUA+BfvZlPuPFJLnLexDD7rWODhwk/udSXSyTNOG2dJlYXoJ+cz8oPVTE/NZmZWwTl8F5ru6MQ9xxdNx3YN4oUruwNQabYBkLs1hynMZsbez7hl5KJ2m7zPpFGtUIQQepzJe5aU8oe6xbcAD9U9/xb437kPT1EuXOaqShy2IwhtAEaDo37549/uIGTXf3lQN5d+5vfZ+/JV9esqKSO7dDt6XwuTX1pKsZs7m1wSeXxaGRVPzufbaf3xfuIu3HokETp9Og/0eoDNeZuZ+WEJXkYv/jnIOSrfsjufJaVgGwM8o8DNH0w+J8V31NGpzoTZWffsom3bHo2aujqUP9cuGHXO5odajaCwcCmyy4fO7TfvY9j/+vDWT954FNag79Gd2LffRePa/psUNqYVisBZut4rpXzjuFXZwAhgGTAaSGmJABXlQuUTEsbDs35kw7iR5F30PXnLv6FLQALDIvazaqcfv9r7ExvoDcD7z/ZFV+vKnYYdMGAo/QY+T/YPc1kXHwWyloi0sewBpszYwE8HDmLbvZdJ9i5cqVvPvXIu3vf9jjYgrv7cIR7+hHiMbVScXiY925+/mBmHC/DUabk1rG1LskfrwB2OE5cfKnSOiDLlw7W8Muyf+NXNkXygRxqVRgN/uaaYm363c9n6NRz47F7cJowkNHQqWu1pJlNuBxpTAh8C3ATsFEJsq1v2FHAn8B8hhA6opa6eW1GUc0er03H4os4ULN1IX70n21I+5ElLL+Kii9haMop3pvQBwJA2DrNpLDVeU3HNWIlXxki8dmSz5J5vcdgOc7FhDLtlKdYePnzncjkbPX4iv8CTv2s/cZ7ovT4wvez0gTTAS6/jiZj2MaP70RL4mtQiymqs9UPOuhqOpjvJgu3jqdYb6ONeTlV5JzTapQQ7NARV51E6oIjaLishZSWVlftJTHypza6lIY1phbKK049L1ufchqMoyp9N+fvHUDffgEFzOdXZpQyN28Azo+5BCOdtrCGxuZj3vYgxwHZsR70rd793I7WVVtx8DHRf7hzzeiU3MdrUj33AJdZX+LH7GlyGPcD5wsfNgBDw8epDp1w/UrONTy1vgwWii74CIMl8Eb31R0jvEU+2MNOfeYCV7Jxv8PDsQXjY9a14BY2n5sRUlA7mjCPnmSuQhQc5lOVFXo6D5IvCMLmbsJWZeeud56lxCOwOLY8++ih2ux1vb+8OOQpfQworzVSZbQjECc0KhQCPfd/itehBAKJrP8cj8R/ctD6e6sAkYjptIjx8L16er5OR/RJbTckc1MbxZp9JhHidm2aOzaHmxFSU88QZE67RgyPvVGKgknWH57Jm9gHu/egHtNU2okNS8YnZQOcl/8PD3QOhOf8S91H+7kb83U8z4UVwJySCufYhgAaNFFS7O6t/jhzuit2mJzNzCzCeTP8QlnUbQK8tVeSOarXwG00lcEU5j5hrjlWhaPWxSEcZHz22nLjeQYyJeI6K6p2EvTDivE7eDany6c/WruuwlZq5aFcew7a9xTAXDfMdmym0QGZmz/ptHZ3a91RrKoErynnEaNKxbWAA25cdwk3jgtAGI4SWHqMi8Onsgw9tVw3QXhzaUcj2P5wdx5PRodGCw6BhkqU/qy0b2OtZAcAz/3garc45JrrN0XpVzU2hEriinGcmTErgkks78dvHs0kcejdR3SPaOqR2RXNcO3WhEZTZJQvLnb9cTC4HcE0tQkhH/Q1iAF07/cWiEriinId0BgOX3H1zW4dRr3b/for+9xGasgMED7Yhpn4JJu82iSUmyZ/Ky6Kx22T9jPal+dV4+LoQHHMLqZs24BMahqaR4463JdUKRVGUFuWorWV/v/5gtZLpF8TiwUlcZ1rLllGfM23U6UctbDPWWsjb7XyetxMCEiFyQJuGpFqhKIrSJhzV1WC1ovX15K5hTwDwveVi3nZMYXflRhYVlnFLqD9+hnaSjta8DUtfOHHZWXRyakkdZ+RyRVE6JGk2U+UaxLKBj52w/Ntl09j85EQ+35XF5+lnHumwVfW59cTX8ePaJIzGUFUoiqK0qIqMXD5/aQ8IO4Fjn+fr9IvJLYricm0+N1n7nbCt98RY3AeFtlGkxzFXwMHf2bV7J7dtiWGIby1v/fUvbRaOqkJRFKVNuEcGkdQvi4oyG376T3nWs4qqwjTCrVEnbSv07eTGodEDuk3ik+9TKcAHLasYs2wtu6WJ5f0T6OLm0vAxWoFK4IqitCybJFHvhvS0Q34V5tRSVhrSWKjZipCCG3pMwN/FB7f+wegD29cQrgMTI/HYvZGYvmuYJZ0THpdYbQ3s1XpUAlcUpUXZSmup3VMEgCHKE32oGxdlJ7FRdxCHkHhLN7wndGrjKE8tyRxJivYAoUzh9eBKggOTGNiOpl1TCVxRziNWuxW9Vt/WYZyS98RYXHsFYs2rxvrBdkYaknBU26DW0fDObcRtl4WbGU7YqKHtctAvlcAV5Tzx4weP0eU/C1jYR8Mjs3a3dTj1jtZrl/6USulPqfXLfa9LwCX+9DP9tAfhLw9DWu3tMnmDSuCKct74zm0fd3nAoejTjMLXRnTeRvz/0h17sRlHrQ1pdYBwVqd0BO3mxuopqGaEinKeqLRUcrD0IN39u6PTqLLZ+UQ1I1SU85y7wZ3kwOS2DkNpRaonpqIoSgelSuCKcp7Jf+stanfuIvSpOzlAJS41vvj4d8Y70PWCnsjhfKQSuKKcZyp+Xch6Xx/6fXkTBlnCc9YY+ha+iBAa/COcbZgLsyrR6TXc9c7Itg1WOSuqCkVRzjOBTz/FYRd35h8cw0LvqUz7PRiAIJ3AL78az/xqRnvoiNWp0nhH12ACF0JECCGWCiH2CiF2CyEeqls+Rwixre6RLoTY1uLRKorSIPdhw9BXl4G1nPtLv0AfXIgQGnq5aolztWMJ3c7k0W7ceIUXq0oq2jpc5Sw02IxQCBEChEgptwghPIDNwCQp5Z7jtnkdKJNSPnemY6lmhIrSSgpT4N26Vmc3fIc9Zgy2gmq2/fwMU9PGYg9wwdrbD4DcUcltF6fSKM1uRiilzAFy6p5XCCH2AmHAnroDC+AaYPQ5jVhRlObzj4fH9oPOBUzeaAFtiDu6XnnEGHLY79odgHcSI9s2zvOUvcyMdEiEToPWw9Bi52nSTUwhRDTQC1h/3OJhQJ6UMuU0+0wDpgFERqoPi6K0Go/gkxZVVO/mH5HrWcx4hmkPMiF4YRsE1rJWzf6czN07ABAIEAJnT3hxrEu8ALvVSk7Kfi576K8kDB5+2uPV1GSxdevNePv0p0vnZ9FqTxxK1rH4Fb6cs4nXhu0j2TeZTls6cbm5D0HSGwC/m7ti6urXAlfahJuYQgh34HvgYSll+XGrrgO+Pt1+UsoZUsq+Usq+AQEBzY9UUZSzZtD7AjCOX+kRfXUbR9Mydq/4g/KCfPQGIzqDAZ1eh0arQ6PRgMD5kFB0OBOADXO/OePxpLRTU5tJTs53lJdvR8q6yZDrlK0xMzrgAXrUeONisQCQrylHH+KGxsNA1cbclrrUxpXAhRB6nMl7lpTyh+OW64DJQJ+WCU9RlHOpf/95WCyFAJhMJ0+ocL6ISe7DxXc/dMZt0rZuZO7LzzLi5jPPtOPqGs2I4dvJzPoYD48k/lgaB0Biwr8JDb0az0efQPPtN8zK2s6GbuPo/be/kf/qJuxVVlx7BVC5Kht7pQWt+7mvSmlMKxQBfATslVK+8afVY4F9UsrD5zwyRVHOOZ3OA1fXGFxdYxDiwm1FbKmtYe7LzwIQHBvf4PY6nTudYh48ofpk776/8fsfsRTVLsN63Th6xETybsEBPntiEY5qG1+VlaEPcAWHpGZ7QYtcR2NK4EOAm4CdxzUVfEpKuQC4ljNUnyiKorQ3RYczmf/OawD0GD0Oo6tbo/eVEh5e+i9iZQXX9vySAL8j7Nx1H4fSevFA6AOMTRzO/IVr+Kbgv5T4+2EtiEMf4kbV1nzch4Sd82tp8CtYSrlKSimklElSyuS6x4K6dbdKKT8851EpitJidvy+iNenTsBmtbd1KK0uL+0gnz52LwXpaQy6+noumvZAk49hs7qQrMsmLeUiuiz+lPglMykvDyR7QzbXbUvjhet6YQqKx9Apn6eznscQ7Yn1cCXVOwvP+fWorvSKcoFZMuMdAP5z40Qem/PLSet3PPs4+q/nAxC7aCGGqChY/ios/RdoDch/5PPGtZfXb290dXPeGASorKJPymG8a8wAaDw9kTYbWi8voj7/DENERMteXCMNuHIqg6dc3+T9NBrBzn9dzqZNIYSFhcF76WikHje3nuj16wlxE2SIibjoovnZazVmfRb6EGcJ35pdCT38z+l1XLiVYIpygep3xVW4ai146GoBsDskNRY7doezZcVmRzYzrrmVIk9vDh7JZfeRMmfyBrBboOjgCccL79YDc1WV8yFg6Yih5AQ7mzDaLDZkdTW2nBxshee+BHoqeoORfWtWsGr2F9is1hPWCY0GITTs3+jG3Ne3NOv4Op2OgQMH8miRmUc7H+Zj4x/4+vpitRlJzfmOgMybiJiQSG99Av8ovhuNyVlONiWd+1Z4qgSuKBeYSim4p7OzK8ePL/3O0xXlVDmcLSTuqZ3NmxP/CsDXoy4GM7i8s4r045s+f3s74yIeYnHWpwCkblxXv8qh1WF1dWfFyBFMnT0HTW11/boDDhPJLXplTpP++gxrv/ua9XPnsHfVUjz9A/GPjEIIDVsX/gzoqK3yJjultFHHc1gsHHnvIzR5mWjd3NCYXCjy9GZlfF90UQn8bbc7tbuLSHXxZEL0y6Tu2sKqFav5v9q/oHHXg835xSi0537sGZXAFeVCc/DH+qc/xe2manNs/esc76CTNh8zPJIVeQ8wPMNZ9VJj7oGPLoieviPZXrwMAKtHIDa/KPoM7kuV1sL/fs9l7vjpGG0WPKzV2IWG/4ad+5t4p+IbGs5lDz5B4tCRbP/tV8xVVez6Ywk2q7ON9ogbb6bLkMFoGpFQHXYHK176maCv3z5huQSmXnk9XYrcCPLtB7XeVA5/kVfK++IaFs337q9QW+nCQzVjoW4IX2k/97OfqQSuKBcY8xVXwrylAHyy+xke1d7OEsdIKqQOL43rCdt2y85lSqwPwy95DrIngd4Vo2ssjhfXE3XJKMZOfPyU57h0nI1Ks42dh8uwOSRD4/xxM7ZuuunUux+devcDwFxdRV5aKv6RUbh6ejVqf7vNwZKPdpOa40Px6KfhSDq+vlqiOrvj5mLnyfJySkt38KMpjC3jU0j8dSSzPJ4mwJ5Pz9iBzI4w8FCGFltRDQB6f5cGzth0KoErygXmyt63QPzF8HoXAERACBFiP2k58XxWPYCbFnzB8gGjGHd4J/HbsjDae8HAARDuHEtJC0S+dPqu5wCuBh2uBh1jEs990moOo6sbkd2TGr29dEgWzthF+o5Chk6JJ2n0KPasymbtj6nszrARGu9Nwtc3ABD09hss3BXHEz/fSG2gjRy9N32rqll42Wi0WpAWB2haZnJkdRNTUS5EHsGs6efD9119EJaV3FC4jk5xPgDU2k3c8PMOfNauJtuaTuzEi0/aXTocVBYXUVVa0tqRt4rinCrSdxTS//IYeo6JQAhBt2Fh3PLiEIZNjScvvZyK4G7o4+KZEuxL9tg+xP62BPtfrqM60o2aLkEMy1+IxahBOhygaZlUq0rginKB6n/xLnrNGgRB6Vx66d9I322idpQnP2b0w1/3HAKBj92G2+NX8sCMTccGggIWvPs6+1YvBzhlU8SOzlFXX+0X5n7Ccr1RS9KoCHxC3Jj35j0gBIvu/oN7PxiFITyc2JtfYPnAh5mcOQF/zRYspquwFdai82qZEQlVCVxRLlA63bHktOGPf3Bz2iwwaLDGR5ET8xHXmZP4yw8W+m6pZtTsESfsW5KTXf+8oTkFOqKj13S6OUQjEnxJGBxS//r4L7eUDftZ9/Mw5mX8hcBQDywZ5RiiPFskTpXAFeUC9tbglwBwkQ7e6n8bAMN3/cjSe64jckkGcwcJ7r9HS9/Q/s5+5JYqDmzbx3s13djv1hlrdP+2DL/FVJc5W6yIMzRU6Tbc2armsvucdeu5aWW8d/cfzFufyVzTKEQa6DyNOKqsLZbAVRWKolzARsdeimZPGq+F9kJvt7HggVvRORwAJO3JJmkPWL58g6Te4+BZbwB+MVzLwAQTEzr/DMD6LUfoGn8fnp6Nv0nYnlWW1LL0y314+rsQEud92u0qCp0doUx1EzYsPJBPmSOXwQXfoBFDmeASgL3S+UVgVAlcUZRzTWg0bJ/4INm1Fl5au7U+eQO4jx6Na+9e+Pa55IQqgkcts/m987Eu4VVlv3EgpYS+fc48rnZHYLXYWfDBTqxmO1c8lIzRdPoUmbbNOcKgX7AreW9vId/FzkfeboyyxxJgsrL18AL65o4BrUAXYGqReFUCVxSFUBcD74wagGPzJmoPHMClc2c0bn8apW96Gal7dvPFN7MZxlf1ix2VE0gYcH8rR3zuSSlZ+vleCrIquPSepJNuYB5VVWZGoxUc3JxPRKIPjuwcAoou4TqXG/jIMI7fAkYzpnIdCZF9sBVUow8wIbSqFYqiKC1M4+aGa69ep10f27Ub/bXehN5rQCLR+sZSMzaen3Ys44o7/PEI8WnFaM+trYszSdmUD0D2gRKyD5TUV4If/f1RVlhD2tZjY3t3GRiCPkCH9O9MWM/O7B8+Hke1lQPPOAga1pXabYX1g1m1BJXAFUVpkkufeYy9s/6HQOCSfDM7HBWk2A6zffEGht5ycpvxjqKiyFmnrTNq2bUy23nTFpz95uv+cdicVUyR3fwwuGiJ7RWAMGgRD6zCancwfel+7o8MwF3vTdUKZ0sdY3zLfamJ1mwC1LdvX7lp06ZWO5+iKC3Hmp1N0ZcLcAR0w+7hRsglCehaYNqwjiLsp1/Qrzfj5eHF2gk9kbXO8daN8T7ovI1ndWwhxGYpZd8/L1clcEVRmkUfGkrwX888n+SF4rcx03gq/lp2Bq3j9usewRTle8KN35aiEriiKEozzdq6nQOprzGqXxqUQq22gNAP93AECH95WIufX3XkURRFaYYam52n5xzms03XUjmygs96PUhYUg27zWvJj8prlRhUCVxRFKUZTDotgV28qM4pZujAFWy4xNu5YlLrxaASuKIoyhnYHXZqbVWsW+VsXtm3zxa8vJxjim+4bSjgHH62LTRYhSKEiBBCLBVC7BVC7BZCPHTcugeEEPvrlr/SsqEqiqK0LiklyV8kc8k3gwCwVHvzxpwllC5/H2wW1u5Zwd6ERPZ17UrV1pxWj68xJXAb8JiUcosQwgPYLIRYAgQBE4EkKaVZCBHYkoEqiqK0Nod0tvv2y+vDgdVX4ZAeBALe2XdgSdnNvwuW81LdtnN27eP2XiGnPVZLaLAELqXMkVJuqXteAewFwoB7gJellOa6dfktGaiiKEpr02q07Lh5B48NvAOH3TmeiVU4J2qu8b6FgrrZ2fQeNlI6h7d6fE3qyCOEiAZWAN3r/v0JuASoBR6XUm480/6qI4+iKB1VQVYF6elHSOwZhbunCSklu75ZiHdiKCFR0cgVz7Es8CbG9u95ztuAn64jT6ObEQoh3IHvgYellOU4q198gIHAE8A34hRRCyGmCSE2CSE2FRQU/Hm1oihKuyelxK00A/c7ryR7/EVY7VaEEMReNprCG68jZcBALJs/ovP8Kfzjx12tFlejErgQQo8zec+SUv5Qt/gw8IN02gA4AP8/7yulnCGl7Cul7BsQEHCu4lYURWkVlaX7+WNpHGsLJmL3ktiLirh7yT1k7ktn7vR3Wdrbj7RgSKU3V1qe48Ex8a0WW4M3MetK1R8Be6WUbxy36kdgNLBMCNEZMACFLRGkoihKW5kxYyebXG7gms4/UvyEH+8V2Ehe0YlvP7kfuzGa/SPuQa/dQefK4Sy8px+Bni6tFltjWqEMAW4CdgohttUtewr4GPhYCLELsAC3yPNxcjxFUS5obxebgAEsCxyPI9CFWdY8cvdYKU30IldAz/RXmDHczgzmsz1me6vG1mACl1Ku4thwuH9247kNR1EUpX0xaAUWu8ThqQch6HLAA0PsUuLTDnHYfg3ReZOZGfctABpN645OosZCURRFOYMDL1zKgefG8p67F5u9ggl5vD8DQrMostbS38OVwLhRTFuayHtx77F/zz5sNlurxaa60iuKojTAYDBy1XDnzcmCmnLe3B+B0beKgsNfYdL5YrFp+GLjDgrdvRm7dg333XF7q8SlEriiKMoZSIcDhEAIwb1zXuKHwPEwdAJ3L/+R0c8/zb/3VzDPUYPZ4KzQWAt0L65ghK9Hi8emEriiKMpxbCUlWA4dQmvbxMyZJszlcwB4bM4vJBZlQt2gIdOnT6fGUsG3qYX8uTb6iyN5KoEriqK0tvRrr8Wakck1T+q40/HYCet8Bg7m4dnr0Vs9YFQyJYW/cqf8jY30x5VqgnEOaHWFoQsQ1+KxqgSuKIpyHNfkZMoyMtFIyczhr7Pi6s34uBnou2YnBTWdechzNl62Soqf3kuo/m2edjGwduBqjIZAJBKNxkjX4GtaJVY1qbGiKEoDpJSELN1G7oqRp95gelmLnv+sx0JRFEW5UF313kpu+X1W/WvL6M+xd7/L+eKO39ooKlWFoiiK0qAElxJe1M+sf23Y8S+oLgL3IAjr02ZxqQSuKIpynIOb81g263MGXD2YCQvKiLXn8sdLt+M4+BOaHV+BlOCwgs0CiROglXtfHk8lcEVRFKD890wylv2P6+Pmcnf1f/jj0xyEr4m0unaDmriREDeyTWP8M1UHriiKApgPlREidyGkc+gnncaXRy9ZwOIHW290waZSJXBFURQAjaDW9ggLUgSVgZup3bGF5JGftXVUZ6QSuKIoCuA+KAR9sBvug0LQ+Qxt63AaRSVwRVEUwJTohynRr63DaBJVB64oitJBqQSuKIrSQakEriiK0kGpBK4oitJBqQSuKIrSQakEriiK0kGpBK4oitJBNZjAhRARQoilQoi9QojdQoiH6pZPF0IcEUJsq3tc2vLhKoqiKEc1piOPDXhMSrlFCOEBbBZCLKlb96aU8rWWC09RFEU5nQYTuJQyB5wTvUkpK4QQe4Gwlg5MURRFObMmdaUXQkQDvYD1wBDgfiHEzcAmnKX0klPsMw2YBhAZGXm28SqKcp6y2R088s12Nh4qpqDSjN0h+dslCdwzMratQ2u3Gn0TUwjhDnwPPCylLAc+AGKBZJwl9NdPtZ+UcoaUsq+Usm9AQMDZR6woynlp55Eyft6eTUKIB3cN7wRAakFlG0fVvjWqBC6E0ONM3rOklD8ASCnzjls/E/ilRSJUFOWCsDnD+QP+lauSCPR0YfbGLFz0qqHcmTSmFYoAPgL2SinfOG55yHGbXQnsOvfhKYpyodicUUKEr4lAT+cECrVWOy46bRtH1b41pgQ+BLgJ2CmE2Fa37CngOiFEMiCBdOCuFohPUZQLxLasUvrH+AIgpaTGasdFrxL4mTSmFcoqQJxi1YJzH46iXNgcDgu1tUewWkuQ0oHdXo1GY8RkisBoDMH5g7h9KDtyBFcfH/Surmd9rIpaK7nltYT7mACw2B1ICSaDSuBnoiZ0UJQ2VFm5n/z8Xykr20pN7WHM5mwcDsspt3VxCSM4eBKREbej13u3bqCAzWajuLiY3NxctmzZQq/X38BgtZKwZzfiLGdmv/+rrUgJYxKDALDYHAC0o++rdkklcEVpAxUVe0hNe4OioqWABg/3RDw8uhEQMBZ3ty4YDH6ABq3OFYe9lqrqVIqKlpGe/j5HjsymR/e38fEZeFYxOBwODh8+TEZGBqWlpVitVgA8PDzw9fUlKCgIi8XCrl27yMrKorCwECklAF5eXmgcziRb9PEn+P/ljrOKpajKjL+7gd6RPgC4G3VE+bmy4VAx9448q0Of11QCV5RWJKUkI3MGqamvodO5E9vpMUJDp9Yl7NPz9R1CRPjNVFTsZdfuh9m2/Xb69v0BD/eEZsWxd+9eFi9eTEmJs+WHq6srRqMRh8NBRUUFjrrkDGA0GomMjCQxMRF/f3/8/PwICQlhj58/vPgiBa+9htf4S9CHNa9/35frMth1pJzLehxrFyGEICHYg0OFVQCsKqmg0ubgkgCvZp3jfKUSuKK0oiNHZpGa+gqBgZeR0OVf6PWeTdrfwyOR3r1nsX79eFIP/pvk5E+atL+UkqVLl7JixQoCAwOZPHky8fHxmEym+m0cDgdlZWXk5eXhcDiIj49Hr9efdKy4yVdy6MUXAch+8u9EfPgBGje3Jsfzjx+dDdiGxfufsM5mlxh0zqqZq7elMtzHXSXwP1GNLBWlldhsVaQcfBlf32F07/ZWk5P3UUaDP6EhUyguWY3DYW7SvsuXL2fFihX06tWLu+66i6SkpBOSN4BGo8HHx4eEhAS6du16yuQN4OLuTll8HADVmzeTcdPN2IqLmxSPEIJPb+sHQEr+iZ12LHYHeq0zRe0Y3I3pcWoEjz9TCVxRWsmhQ//B4ajB26sPQpzdn55W64qUdqR0NLxxnezsbJYvX05SUhJXXHEFWu3Zt/Co8nf2rtZGRVG7Zw/ZTz7Z5GN4uDgrApLCj5Wus4qrWZlSWJ/AA416urqbTrn/hUxVoShKKzGZogBwdTs2tseRI7OpqNxLQMBF6HWeWK0leHsPREoLmVmfYK7NOeWx8vLn4+7eFa228UltxowZgLM1yc8//4zZbMbHx4fRo0ejaWYrktXR3gxODyLs0CEAqlasRErZpOaO0X5uaAR8vOoQn6xOJ6OoipJqKzqNYERnNfzGmagEriitJCjoclIOvkBBwWKCAp3D56emvY7VWsyRI1/WbyeEtq61hwODwR/BySVlg8GP+LjGl3aPth4ByMrKAqCiogKA4cOHYzAYmnw9m/M28230ErZNiuPV372wHDgAgKOqCq27e6OP4+du5OJuwaxNKyIx2JPxPUKIC3BnbGIQkX5n38b8fKYSuKK0Er3ek6jIuziU/jZGYzCxnR4DBMHBkwgOmojdUQMSKip2ITR6/P1H4+nR/ZycWwjB9OnTT1j2xx9/sHLlSjIyMggPD8fFxQW73c6+ffs4dOgQI0eOxMPDA/b/Cj8/DJe9DokT6vfvFdiLTrWdCK+KwP2qPhS/9DJAk5L3UR/c2KfJJXdFJXBFaVUxMfdjsRaRmTmTgoJFWK1FaDUm/PyG128TGHhxq8TSr18/duzYwaxZswDQarU4HI760np2djb9+vUjrLaMQLsVYfI+YX+N0PD3nn9n4cKFFOzefYrfCU2jknfTqQSuKK1ICC0JXZ7D328U6envUVOTid7g2yaxeHh4cO+993LgwAHKy8upqqpCq9USGhqKzWbjl19+Yd68eQB06fIC10UPPekY3bt3Z+HChdSmHKRpDQiVc0ElcEVpA/7+o/D3H4XFUohO13Ztmw0GA927n7qaJjExkbKyMt5++23sdnt9557q6mpsNhslJSVs3boVABdzbf1+0uE46671SuOoBK4obchg8G94ozai1Wrx9fVl0KBBrF27lldeeQWNRkN1dXX9NkIIhg4dStztt1Pw4ktYMjLUACatSCVwRVHOaNy4cURGRpKSkoLD4SA4OBiDwYC7uzuRkZG4uDjH74748IM2jvTCoxK4oihnJIQgMTGRxMTEtg5F+RNVUaUoitJBqQSuKIrSQakEriiK0kGpBK4oitJBqQSuKIrSQakEriiK0kGpBK4oitJBqQSuKIrSQYnjxwlu8ZMJUQBktNoJG8cfKGzrIM5AxXf22nuMKr6zcyHEFyWlPGl2i1ZN4O2REGKTlLJvW8dxOiq+s9feY1TxnZ0LOT5VhaIoitJBqQSuKIrSQakEDjPaOoAGqPjOXnuPUcV3di7Y+C74OnBFUZSOSpXAFUVROiiVwBVFUTqoCzKBCyGShRDrhBDbhBCbhBD965bfULfs6MMhhEhuTzHWrUsSQqwVQuwWQuwUQri0l/iEENFCiJrj3sMPWzu2M8V33PpIIUSlEOLx9hSfEKL/ce/ddiHElW0RXwMxXiSE2Fz32dsshBjdzuLzE0Isrfv/fbctYjtTfHXr/i6EOCiE2C+EuLjZJ5FSXnAPYDEwvu75pcCyU2zTA0hrbzHinEVpB9Cz7rUfoG1H8UUDu9r7/zHwPfAt8Hh7ig9wBXR1z0OA/KOv21GMvYDQuufdgSPtLD43YChwN/BuW8TWQHxdge2AEYgBUpv7N3xBlsABCXjWPfcCsk+xzXXA160W0clOF+M4YIeUcjuAlLJISmlvR/G1F6eNTwgxCUgDdrd+WPVOGZ+UslpKaatb7lK3XVs5XYxbpZRH38/dgIsQwtiO4quSUq4CatsgpuOd7jM4EZgtpTRLKQ8BB4H+p9i/EWdoo2+ntnwAiUAmkAUcwdlN9c/bpALd21uMwMPAF8AiYAvw13YWXzRQBWwFlgPD2ll8bsBawB2YTtuVwE/7GQQG4EyMlcCV7e0z+KdtrgZ+a4/xAbfStiXw030G3wVuPG67j4Crm3OO83ZSYyHEb0DwKVY9DYwBHpFSfi+EuAbnGzj2uH0HANVSyl3tMEYdzp+H/YBq4HchxGYp5e/tJL4cIFJKWSSE6AP8KIToJqUsbyfxPQu8KaWsFEKc65DORXxIKdcD3YQQicBnQohfpZQtUpo8y7+TbsC/cf4qbBFnE19raGZ8p/rgNe+XVlt9O7XlAyjjWBt4AZT/af2bwFPtMUbgWuDT47Z7BniivcR3iu2WAX3bS3zASiC97lEKFAP3t5f4TrHd0rZ4/xqKEQgHDgBD2iK2xryHtH0J/HSfwb8Dfz9uu0XAoOac40KtA88GRtQ9Hw2kHF0hhNAAU4DZbRDX8U4X4yIgSQjhKoTQ1W2zp73EJ4QIEEJo6553AuJx1je3i/iklMOklNFSymjgLeBFKWVbtFQ43fsXU/f/ihAiCuiC88umLZwuRm9gPs4ktLptQgPO8HfcTpwuvnnAtUIIoxAiBuffyIbmnOC8rUJpwJ3Af+r+UGqBacetGw4cllK2RdI53iljlFKWCCHeADbi/Nm1QEo5v73Eh/P9e04IYQPswN1SyuJ2FF97cbr4hgJPCiGsgAO4V0rZVkOlni7G+4E44BkhxDN1y8ZJKfPbSXwIIdJx3kA01N20HielbO2Czun+hncLIb7BWfCyAffJZjZEUF3pFUVROqgLtQpFURSlw1MJXFEUpYNSCVxRFKWDUglcURSlg1IJXFEUpYNSCVxRFKWDUglcURSlg/p/DKN9UwlF1OAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#finding the PRECINCT multipolygons to clean them up (like we did for Ohio)\n",
    "print(type(vtdGeom[36]) )\n",
    "notPolyVTD = [0]*nPrecincts\n",
    "for m in range(nPrecincts):\n",
    "    if type(vtdGeom[m]) != type(vtdGeom[0]):\n",
    "        notPolyVTD[m] = 1\n",
    "        print(m)\n",
    "        for geom in vtdGeom[m].geoms:    \n",
    "            xs, ys = geom.exterior.xy\n",
    "            plt.plot(xs,ys)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 248,
   "id": "cf9b8c1e-ac09-4f3b-9813-458492786c2d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#from below, there is a problem geometry near -86.9, 30.39\n",
    "#let's plot the areas around these.  Start with blue in NE Ohio\n",
    "targetX = -86.9\n",
    "targetY = 30.39\n",
    "rMax = 0.2\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            #plt.plot(x,y)\n",
    "        else :\n",
    "            plt.text(vtdGeom[m].centroid.x, vtdGeom[m].centroid.y,m, fontsize=9)\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 258,
   "id": "2090f30a-dcfc-4fce-a79f-09f1982d1221",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#OK, based on above, make 2561 its convex hull.  same for 2589.  2592 is squirrely also\n",
    "badPrecincts = [2561,2589,2592]\n",
    "for p in badPrecincts:\n",
    "    vtdGeom[p] = vtdGeom[p].convex_hull\n",
    "    notPolyVTD[p] = 0  #this is no longer a MultiPolygon\n",
    "#from below, there is a problem geometry near -86.9, 30.39\n",
    "#let's plot the areas around these.  Start with blue in NE Ohio\n",
    "targetX = -86.9\n",
    "targetY = 30.39\n",
    "rMax = 0.1\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            plt.text(tractX,tractY,m,fontsize=9)\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "        else :\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                plt.text(geom.centroid.x,geom.centroid.y,m,fontsize=9)\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 266,
   "id": "8331e126-f955-4a76-b0a6-3fec292ee061",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#OK, based on above, make 2561 its convex hull.  same for 2589.  2592 is squirrely also\n",
    "badPrecincts = [1733]\n",
    "for p in badPrecincts:\n",
    "    vtdGeom[p] = vtdGeom[p].convex_hull\n",
    "    notPolyVTD[p] = 0  #this is no longer a MultiPolygontargetX = -82.0\n",
    "targetX = -82.0\n",
    "targetY = 30.788\n",
    "rMax = 0.4\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            plt.text(tractX,tractY,m,fontsize=9)\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "        else :\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                plt.text(geom.centroid.x,geom.centroid.y,m,fontsize=9)\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "id": "bc5739ac-1720-4e7d-805e-c0890cfac8f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#from below, there is a problem geometry near -86.9, 30.39\n",
    "#let's plot the areas around these.  Start with blue in NE Ohio\n",
    "targetX = -81.335\n",
    "targetY = 29.95\n",
    "rMax = 0.05\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "            plt.text(vtdGeom[m].centroid.x+0.01, vtdGeom[m].centroid.y+0.01,m, fontsize=9)\n",
    "        else :\n",
    "            plt.text(vtdGeom[m].centroid.x, vtdGeom[m].centroid.y,m, fontsize=9)\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "id": "536aca19-2629-4e76-af7c-7f18ccb432fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#OK, based on above, make 5661 its convex hull. \n",
    "badPrecincts = [5661]\n",
    "for p in badPrecincts:\n",
    "    vtdGeom[p] = vtdGeom[p].convex_hull\n",
    "    notPolyVTD[p] = 0  #this is no longer a MultiPolygontargetX = -82.0\n",
    "targetX = -81.335\n",
    "targetY = 29.95\n",
    "rMax = 0.05\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            plt.text(tractX,tractY,m,fontsize=9)\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "        else :\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                plt.text(geom.centroid.x,geom.centroid.y,m,fontsize=9)\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 303,
   "id": "717c67e7-368b-44ba-9971-10885e77d69e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#from below, there is a problem geometry near -xx\n",
    "#let's plot the areas around these.  St\n",
    "targetX = -80.099\n",
    "targetY = 26.212\n",
    "rMax = 0.012\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "            plt.text(vtdGeom[m].centroid.x+0.0, vtdGeom[m].centroid.y+0.0,m, fontsize=9)\n",
    "        else :\n",
    "            plt.text(vtdGeom[m].centroid.x, vtdGeom[m].centroid.y,m, fontsize=9)\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 315,
   "id": "e6789e97-6fc7-4b7c-b358-67a7e93cd992",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#OK, based on above, make 3343 its convex hull. \n",
    "badPrecincts = [3343,3283,1732,3280,1729,1737,1736, 163,404,188,5661,2561,2589,2592,1733, 167, 432,2828,2777,2830,2802]\n",
    "for p in badPrecincts:\n",
    "    vtdGeom[p] = vtdGeom[p].convex_hull\n",
    "    notPolyVTD[p] = 0  #this is no longer a MultiPolygontargetX = -82.0\n",
    "targetX = -80.094\n",
    "targetY = 26.212\n",
    "rMax = 0.015\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            plt.text(tractX,tractY,m,fontsize=9)\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "        else :\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                plt.text(geom.centroid.x,geom.centroid.y,m,fontsize=9)\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 316,
   "id": "62c11b71-97a9-4669-9945-29fec33bbf7c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#from below, there is a problem geometry near -xx\n",
    "#let's plot the areas around these. \n",
    "targetX = -80.36\n",
    "targetY = 27.24\n",
    "rMax = 0.05\n",
    "for m in range(nPrecincts):\n",
    "    tractX = vtdGeom[m].centroid.x\n",
    "    tractY = vtdGeom[m].centroid.y\n",
    "    r = ( (tractX-targetX)**2 + (tractY-targetY)**2) **0.5\n",
    "    if(r < rMax) :\n",
    "        if notPolyVTD[m] == 0 :\n",
    "            x,y = vtdGeom[m].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "            plt.text(vtdGeom[m].centroid.x+0.0, vtdGeom[m].centroid.y+0.0,m, fontsize=9)\n",
    "        else :\n",
    "            plt.text(vtdGeom[m].centroid.x, vtdGeom[m].centroid.y,m, fontsize=9)\n",
    "            for geom in vtdGeom[m].geoms:\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "plt.show()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 321,
   "id": "b5334311-b597-4568-88c7-eb3c9d4bdf09",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "map has a total of 120 grids for 28 districts\n",
      "starting grid no 0 at x = -86.70833333333333, y = 25.780000000000005 \n",
      "starting grid no 5 at x = -86.70833333333333, y = 28.580000000000002 \n",
      "starting grid no 10 at x = -86.125, y = 25.78 \n",
      "starting grid no 15 at x = -86.125, y = 28.580000000000002 \n",
      "starting grid no 20 at x = -85.54166666666667, y = 25.780000000000005 \n",
      "starting grid no 25 at x = -85.54166666666667, y = 28.580000000000002 \n",
      "starting grid no 30 at x = -84.95833333333333, y = 25.780000000000005 \n",
      "starting grid no 35 at x = -84.95833333333333, y = 28.580000000000002 \n",
      "starting grid no 40 at x = -84.375, y = 25.78 \n",
      "starting grid no 45 at x = -84.375, y = 28.580000000000002 \n",
      "starting grid no 50 at x = -83.79166666666664, y = 25.780000000000005 \n",
      "starting grid no 55 at x = -83.79166666666664, y = 28.580000000000002 \n",
      "starting grid no 60 at x = -83.20833333333334, y = 25.780000000000005 \n",
      "starting grid no 65 at x = -83.20833333333334, y = 28.580000000000002 \n",
      "starting grid no 70 at x = -82.625, y = 25.78 \n",
      "starting grid no 75 at x = -82.625, y = 28.580000000000002 \n",
      "starting grid no 80 at x = -82.04166666666666, y = 25.780000000000005 \n",
      "starting grid no 85 at x = -82.04166666666666, y = 28.580000000000002 \n",
      "starting grid no 90 at x = -81.45833333333334, y = 25.780000000000005 \n",
      "starting grid no 95 at x = -81.45833333333334, y = 28.580000000000002 \n",
      "starting grid no 100 at x = -80.875, y = 25.78 \n",
      "starting grid no 105 at x = -80.875, y = 28.580000000000002 \n",
      "starting grid no 110 at x = -80.29166666666666, y = 25.780000000000005 \n",
      "starting grid no 115 at x = -80.29166666666666, y = 28.580000000000002 \n",
      "done building grids. avgGridDensity, maxGridDensity,nPopulatedGrids = 1063439.1211323235 9799538.237272268 62.0\n"
     ]
    }
   ],
   "source": [
    "# this section - ESTIMATE POP'N DENSITY at scale of 1/2 of district length\n",
    "# also, IDENTIFY WHICH TRACTS and VTD's INTERSECT EACH GRID to speed later intersection searches by grid \n",
    "# (above sections already pulled in Tract and Precinct geometry and demographic data, built an overall map)\n",
    "nDistricts = 28   #Florida congressional, ~2min to run\n",
    "avgDistrictPop = np.sum(tractPop) / float(nDistricts)\n",
    "MAPMaxX = -80.   #In most state maps, we figure this out from the bounding box of the convex hull.\n",
    "MAPMaxY = 31.1   # ... but for Florida, we will do manually\n",
    "MAPMinX = -87.0\n",
    "MAPMinY = 25.5\n",
    "stateWidth = float(MAPMaxX - MAPMinX)\n",
    "stateHeight = float(MAPMaxY - MAPMinY)\n",
    "stateWHRatio = stateWidth / stateHeight\n",
    "G = 2  #adjustable parameter; G*G = number of grids that fit in an average district\n",
    "nGridsX = int( G*round((nDistricts*stateWHRatio)**0.5,0) )   #OK to have empty grids for a non-rectglr state\n",
    "nGridsY = int(round(nGridsX / stateWHRatio,0) )  #so grids are square even if state has high aspect ratio\n",
    "nGrids = int(nGridsX*nGridsY)\n",
    "print(\"map has a total of {0} grids for {1} districts\".format(nGrids,nDistricts) )\n",
    "nGridPrecincts = [0]*nGrids # will store how many precincts intersect with each grid square\n",
    "nGridTracts = [0]*nGrids    # same, but for tracts\n",
    "gridPrecinctNo = [[0]*nPrecincts for gridNo in range(nGrids) ] # initialize a list of VTDs that intersect with each grid square\n",
    "gridTractNo = [[0]*nTracts for gridNo in range(nGrids) ] # initialize a list of tracts that intersect with each grid square\n",
    "\n",
    "gridPop = [0.]*nGrids #will store approx total population for this grid square\n",
    "gridDensity = [0.]*nGrids\n",
    "gridGeom = [Polygon([(0,0),(0,1),(1,0)])]*nGrids  #initialize grid geometry\n",
    "gridWidth = stateWidth /nGridsX        #geo length of a grid's side length\n",
    "gridHeight = stateHeight /nGridsY    \n",
    "\n",
    "for nG in range (nGrids) : #  create polygon shape for each grid square, compute grid-square population density\n",
    "    x = int(nG/nGridsY)\n",
    "    y = int(nG % nGridsY)\n",
    "    point1 = Point(x*gridWidth+MAPMinX,y*gridHeight+MAPMinY)\n",
    "    point2 = Point((x+1)*gridWidth+MAPMinX, y*gridHeight+MAPMinY)\n",
    "    point3 = Point((x+1)*gridWidth+MAPMinX, (y+1)*gridHeight+MAPMinY)\n",
    "    point4 = Point(x*gridWidth+MAPMinX, (y+1)*gridHeight+MAPMinY)\n",
    "    gridGeom[nG] = Polygon([point1, point2, point3, point4])\n",
    "    if (nG %5 == 0): #print occasionally, should take about one second per grid\n",
    "        print(\"starting grid no {0} at x = {1}, y = {2} \".format(nG,gridGeom[nG].centroid.x,gridGeom[nG].centroid.y) )\n",
    "    counter = 0\n",
    "    #    Now for each grid square, find intersxn with all polygons, total the intersection population\n",
    "    #    Also, create 2 lists: of TRACTS and precincts that intersect each grid (efficiency shortcut)\n",
    "    \n",
    "    if( gridGeom[nG].intersection(MAP).area > 0.0001) : #don't bother w grids off the map\n",
    "        for t in range(nTracts):\n",
    "            # if (t%3000 == 0) :\n",
    "            #    print (\"grid {0}, tract no {1}, ({2},{3})\".format(nG,t,tractGeom[t].centroid.x,tractGeom[t].centroid.y) )\n",
    "            intersxnArea = 0.\n",
    "            if (notPoly[t] == 0) :  # tract is a simple polygon\n",
    "                intersxnArea = gridGeom[nG].intersection(tractGeom[t]).area  #replaced tractGeom w cleanedPoly\n",
    "            else : #tract is a multiPolygon, do the polygon intersections individually\n",
    "                for geom in tractGeom[t].geoms :\n",
    "                    intersxnArea += gridGeom[nG].intersection(geom).area\n",
    "            if (intersxnArea > 0 and tractPop[t] > minTractPop) : # this tract is at least partially in this grid and populated \n",
    "                if (tractArea[t] == 0):  #should not happen, but debugging\n",
    "                    print(t,tractGeom[t].centroid.x, tractGeom[t].centroid.y)  #debug print\n",
    "                gridPop[nG] += tractPop[t]*intersxnArea/tractArea[t]\n",
    "                if tractPop[t] > (1.0 * avgDistrictPop) :  #flag if we have a mega tract\n",
    "                    uhoh = input(\"Uh oh! We have a tract that's bigger than a district.  What now?\")\n",
    "                else :\n",
    "                    gridTractNo[nG][counter] = t  #add this tract to this grid's list, update the no of tracts in grid\n",
    "                    counter +=1            \n",
    "                    nGridTracts[nG] = counter\n",
    "        # OK, now, loop over PRECINCTS to develop each grid's list of precincts (prev loop was for tracts)\n",
    "        counter = 0\n",
    "        for p in range(nPrecincts):\n",
    "            intersxnArea = 0.\n",
    "            if (notPolyVTD[p] == 0) :  # precinct is a simple polygon\n",
    "                intersxnArea = gridGeom[nG].intersection(vtdGeom[p]).area  #replaced tractGeom w cleanedPoly\n",
    "            else : #precinct is a multiPolygon, do the polygon intersections individually\n",
    "                for geom in vtdGeom[p].geoms :\n",
    "                    intersxnArea += gridGeom[nG].intersection(geom).area\n",
    "            intersxnArea = gridGeom[nG].intersection(vtdGeom[p]).area\n",
    "            if (intersxnArea > 0 and vtdPop[p] >0) : # this precinct is at least partially in this grid and recorded votes                 \n",
    "                gridPrecinctNo[nG][counter] = p  #add this precinct to this grid's list, update the no of tracts in grid\n",
    "                counter +=1            \n",
    "                nGridPrecincts[nG] = counter\n",
    "    gridDensity[nG] = gridPop[nG] / gridGeom[nG].area  #finished loop over tracts & vtd's.  Calceach grid's population density    \n",
    "\n",
    "minGridPop = np.min(gridPop)\n",
    "# avgGridPop = np.mean(gridPop)   #see below for explicit averaging, since there are so many empty grids\n",
    "maxGridPop = np.max(gridPop)\n",
    "nPopulatedGrids = 0.\n",
    "totPopulatedGridArea = 0.\n",
    "for nG in range(nGrids) :\n",
    "    if gridPop[nG] > 0. :\n",
    "        nPopulatedGrids +=1\n",
    "        totPopulatedGridArea += gridGeom[nG].area\n",
    "avgGridPop = np.sum(tractPop) / nPopulatedGrids\n",
    "avgGridDensity = np.sum(tractPop) / totPopulatedGridArea\n",
    "#avgGridDensity = np.average(gridDensity) #avgGridPop / (gridPL * gridPL) #these densities help home district algorithm\n",
    "maxGridDensity = np.max(gridDensity)\n",
    "print(\"done building grids. avgGridDensity, maxGridDensity,nPopulatedGrids =\",avgGridDensity,maxGridDensity,nPopulatedGrids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 320,
   "id": "808f513f-21af-4b03-8061-fdeeed33dafd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6010"
      ]
     },
     "execution_count": 320,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nPrecincts\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 319,
   "id": "4013f80b-4fc8-40a1-b708-ee29c29b3ffe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.612316546971788e-08 4.244829500010062e-06\n"
     ]
    }
   ],
   "source": [
    "print(np.min(vtdArea), np.min(tractArea))\n",
    "#started 11:06am\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 323,
   "id": "ab450500-f1a4-4292-a2fe-71eb2217121d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I am working on tract number 0 of 5160 tracts\n",
      "loop no 9.0 for tract no 9 with population 735609.8753824973\n",
      "loop no 10.0 for tract no 9 with population 770601.811604585\n",
      "loop no 9.0 for tract no 18 with population 780597.3286551179\n",
      "loop no 10.0 for tract no 18 with population 751284.6943743785\n",
      "loop no 11.0 for tract no 18 with population 757579.7265561845\n",
      "loop no 12.0 for tract no 18 with population 774730.2945977764\n",
      "I am working on tract number 20 of 5160 tracts\n",
      "loop no 9.0 for tract no 24 with population 756417.9283746738\n",
      "loop no 10.0 for tract no 24 with population 757464.3979615557\n",
      "loop no 11.0 for tract no 24 with population 827422.241746662\n",
      "loop no 12.0 for tract no 24 with population 781777.4565473709\n",
      "loop no 13.0 for tract no 24 with population 773958.5153279939\n",
      "loop no 9.0 for tract no 25 with population 775974.6693537668\n",
      "loop no 9.0 for tract no 26 with population 771882.3914461315\n",
      "loop no 9.0 for tract no 33 with population 766907.8962312113\n",
      "I am working on tract number 40 of 5160 tracts\n",
      "loop no 9.0 for tract no 46 with population 751922.4285579652\n",
      "loop no 10.0 for tract no 46 with population 753430.3681093095\n",
      "loop no 11.0 for tract no 46 with population 758533.3535967941\n",
      "loop no 12.0 for tract no 46 with population 764801.1984232407\n",
      "loop no 9.0 for tract no 52 with population 778546.3703926705\n",
      "loop no 10.0 for tract no 52 with population 769728.9089605776\n",
      "I am working on tract number 60 of 5160 tracts\n",
      "loop no 9.0 for tract no 69 with population 761321.9558640046\n",
      "loop no 10.0 for tract no 69 with population 766964.0847489896\n",
      "loop no 9.0 for tract no 77 with population 760802.9545764917\n",
      "loop no 10.0 for tract no 77 with population 767696.406077603\n",
      "I am working on tract number 80 of 5160 tracts\n",
      "loop no 9.0 for tract no 93 with population 768333.9667258887\n",
      "loop no 9.0 for tract no 96 with population 779597.3148524507\n",
      "loop no 10.0 for tract no 96 with population 768107.6438107672\n",
      "I am working on tract number 100 of 5160 tracts\n",
      "loop no 9.0 for tract no 100 with population 766971.6024939627\n",
      "loop no 9.0 for tract no 107 with population 749686.0209848464\n",
      "loop no 10.0 for tract no 107 with population 754680.0592235031\n",
      "loop no 11.0 for tract no 107 with population 759104.6656246351\n",
      "loop no 12.0 for tract no 107 with population 762130.3694377467\n",
      "loop no 9.0 for tract no 109 with population 762183.9554437663\n",
      "loop no 9.0 for tract no 113 with population 753925.2708764812\n",
      "loop no 10.0 for tract no 113 with population 758203.2861621241\n",
      "loop no 11.0 for tract no 113 with population 760740.7396194336\n",
      "loop no 12.0 for tract no 113 with population 762228.6727456443\n",
      "loop no 9.0 for tract no 114 with population 717975.0255296679\n",
      "loop no 10.0 for tract no 114 with population 725788.3583219995\n",
      "loop no 11.0 for tract no 114 with population 874333.106906924\n",
      "loop no 12.0 for tract no 114 with population 777514.7685187177\n",
      "loop no 13.0 for tract no 114 with population 774103.3531714791\n",
      "loop no 9.0 for tract no 115 with population 804305.9745616255\n",
      "loop no 10.0 for tract no 115 with population 763199.5498832201\n",
      "loop no 9.0 for tract no 116 with population 597156.9608636976\n",
      "loop no 10.0 for tract no 116 with population 723975.8474224511\n",
      "loop no 11.0 for tract no 116 with population 799589.206983442\n",
      "loop no 12.0 for tract no 116 with population 785180.4821757078\n",
      "loop no 13.0 for tract no 116 with population 775853.0201360395\n",
      "loop no 9.0 for tract no 117 with population 599960.0954659679\n",
      "loop no 10.0 for tract no 117 with population 740726.284689172\n",
      "loop no 11.0 for tract no 117 with population 788679.2876331793\n",
      "loop no 12.0 for tract no 117 with population 778641.3921476736\n",
      "loop no 13.0 for tract no 117 with population 773384.8473832115\n",
      "I am working on tract number 120 of 5160 tracts\n",
      "loop no 9.0 for tract no 125 with population 700180.0286513182\n",
      "loop no 10.0 for tract no 125 with population 710387.7413063234\n",
      "loop no 11.0 for tract no 125 with population 911721.3591898136\n",
      "loop no 12.0 for tract no 125 with population 754062.3292420695\n",
      "loop no 13.0 for tract no 125 with population 758056.8240012678\n",
      "loop no 14.0 for tract no 125 with population 763778.8874958772\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_57/130663244.py:174: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  targetWedgePop = (avgDistrictPop - sumPartialWedgePops )/nActiveWedges\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 126 with population 755588.2944627993\n",
      "loop no 10.0 for tract no 126 with population 764343.0299668479\n",
      "loop no 9.0 for tract no 133 with population 777938.0819880906\n",
      "loop no 10.0 for tract no 133 with population 772195.4701878024\n",
      "I am working on tract number 140 of 5160 tracts\n",
      "loop no 9.0 for tract no 143 with population 770598.1556343818\n",
      "loop no 9.0 for tract no 148 with population 771572.8270545867\n",
      "loop no 9.0 for tract no 151 with population 754579.9392554755\n",
      "loop no 10.0 for tract no 151 with population 772927.7894307135\n",
      "I am working on tract number 160 of 5160 tracts\n",
      "loop no 9.0 for tract no 160 with population 768437.0230503236\n",
      "loop no 9.0 for tract no 167 with population 582782.9679803711\n",
      "loop no 10.0 for tract no 167 with population 583010.6995126791\n",
      "loop no 11.0 for tract no 167 with population 5910514.880977295\n",
      "loop no 12.0 for tract no 167 with population 5910520.586518211\n",
      "loop no 13.0 for tract no 167 with population 5909867.172830246\n",
      "loop no 14.0 for tract no 167 with population 3706008.036689798\n",
      "loop no 15.0 for tract no 167 with population 3625397.269608421\n",
      "loop no 16.0 for tract no 167 with population 3582547.045912153\n",
      "loop no 17.0 for tract no 167 with population 3547585.3002103404\n",
      "loop no 18.0 for tract no 167 with population 3526876.2691313163\n",
      "loop no 19.0 for tract no 167 with population 3509571.8266859404\n",
      "loop no 20.0 for tract no 167 with population 3491298.540616134\n",
      "loop no 21.0 for tract no 167 with population 3466646.2128905496\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.26022 0.22154 108081.8222 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.21796 0.18556 129167.3229 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 167 with population 3444077.619618564\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.23676 0.20157 101677.0684 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.19831 0.16883 113003.4834 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 167 with population 3423953.7795849056\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.21541 0.18339 93222.1172 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.18043 0.15361 101334.5946 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 167 with population 3402239.2612105072\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.19599 0.16686 84609.5288 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.16416 0.13976 88232.6646 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 167 with population 3382708.526687657\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.17832 0.15181 76993.3274 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.14936 0.12716 76318.1315 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 167 with population 3364922.982385763\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.16224 0.13813 68836.3466 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.13589 0.11569 66689.568 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 167 with population 3351967.1219000136\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.14761 0.12567 62424.2634 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.12364 0.10526 60145.7907 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 167 with population 3339521.0177167677\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.1343 0.11434 55223.2145 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.11249 0.09577 54900.7354 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 167 with population 3328256.4525012397\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.1222 0.10403 48216.7693 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.10235 0.08714 50642.6154 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 167 with population 3316795.4575108523\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.11118 0.09465 40785.581 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.09312 0.07928 46612.8087 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 167 with population 3304508.9080142053\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.10115 0.08612 34051.7939 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.41673 1.6324 54302.9973 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.97132 1.64447 3175094.0705 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.08473 0.07213 41060.0463 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 167, giving up w pop 3304508.9080142053\n",
      "I am working on tract number 180 of 5160 tracts\n",
      "loop no 9.0 for tract no 182 with population 767266.0258912573\n",
      "loop no 9.0 for tract no 185 with population 918202.2684913408\n",
      "loop no 10.0 for tract no 185 with population 842476.7970530756\n",
      "loop no 11.0 for tract no 185 with population 740769.8172722757\n",
      "loop no 12.0 for tract no 185 with population 758084.4263817111\n",
      "loop no 13.0 for tract no 185 with population 764407.2102515874\n",
      "loop no 9.0 for tract no 192 with population 901384.958387811\n",
      "loop no 10.0 for tract no 192 with population 722332.9783797779\n",
      "loop no 11.0 for tract no 192 with population 730782.9012268115\n",
      "loop no 12.0 for tract no 192 with population 793334.4408209097\n",
      "loop no 13.0 for tract no 192 with population 771131.1459765885\n",
      "I am working on tract number 200 of 5160 tracts\n",
      "loop no 9.0 for tract no 203 with population 762888.329596551\n",
      "loop no 9.0 for tract no 212 with population 764314.1145524159\n",
      "loop no 9.0 for tract no 219 with population 766460.1601628612\n",
      "I am working on tract number 220 of 5160 tracts\n",
      "loop no 9.0 for tract no 236 with population 961562.0100379376\n",
      "loop no 10.0 for tract no 236 with population 945334.3313672075\n",
      "loop no 11.0 for tract no 236 with population 616400.9604974405\n",
      "loop no 12.0 for tract no 236 with population 642435.4292681535\n",
      "loop no 13.0 for tract no 236 with population 936229.9278174686\n",
      "loop no 14.0 for tract no 236 with population 906440.7808650453\n",
      "loop no 15.0 for tract no 236 with population 764867.2177873703\n",
      "loop no 9.0 for tract no 237 with population 527344.0531698759\n",
      "loop no 10.0 for tract no 237 with population 730306.0296350594\n",
      "loop no 11.0 for tract no 237 with population 793146.9881062552\n",
      "loop no 12.0 for tract no 237 with population 776605.5905051536\n",
      "loop no 9.0 for tract no 239 with population 771556.3638614404\n",
      "I am working on tract number 240 of 5160 tracts\n",
      "loop no 9.0 for tract no 249 with population 766446.1538370312\n",
      "loop no 9.0 for tract no 259 with population 751430.3455257688\n",
      "loop no 10.0 for tract no 259 with population 764379.1310651937\n",
      "I am working on tract number 260 of 5160 tracts\n",
      "loop no 9.0 for tract no 260 with population 772840.11731971\n",
      "loop no 9.0 for tract no 261 with population 5091429.449511073\n",
      "loop no 10.0 for tract no 261 with population 853020.7474750294\n",
      "loop no 11.0 for tract no 261 with population 830162.7317646849\n",
      "loop no 12.0 for tract no 261 with population 812282.1570641072\n",
      "loop no 13.0 for tract no 261 with population 759766.0062711663\n",
      "loop no 14.0 for tract no 261 with population 766471.4069774252\n",
      "loop no 9.0 for tract no 266 with population 569993.7339471288\n",
      "loop no 10.0 for tract no 266 with population 612108.5232165058\n",
      "loop no 11.0 for tract no 266 with population 943609.6318028278\n",
      "loop no 12.0 for tract no 266 with population 930340.8468923545\n",
      "loop no 13.0 for tract no 266 with population 648580.2616739699\n",
      "loop no 14.0 for tract no 266 with population 730963.986313238\n",
      "loop no 15.0 for tract no 266 with population 740256.9451340565\n",
      "loop no 16.0 for tract no 266 with population 744622.5135648313\n",
      "loop no 17.0 for tract no 266 with population 755271.7574122396\n",
      "loop no 18.0 for tract no 266 with population 763073.6213879073\n",
      "loop no 9.0 for tract no 276 with population 770257.2899137206\n",
      "loop no 9.0 for tract no 277 with population 770845.4289575134\n",
      "I am working on tract number 280 of 5160 tracts\n",
      "loop no 9.0 for tract no 281 with population 771961.7317719695\n",
      "loop no 9.0 for tract no 290 with population 576066.2160513499\n",
      "loop no 10.0 for tract no 290 with population 611884.2586698155\n",
      "loop no 11.0 for tract no 290 with population 943644.782512978\n",
      "loop no 12.0 for tract no 290 with population 925166.2645428161\n",
      "loop no 13.0 for tract no 290 with population 638315.1348012188\n",
      "loop no 14.0 for tract no 290 with population 697855.5909555327\n",
      "loop no 15.0 for tract no 290 with population 718665.6874451556\n",
      "loop no 16.0 for tract no 290 with population 733238.0057399725\n",
      "loop no 17.0 for tract no 290 with population 750188.7103387172\n",
      "loop no 18.0 for tract no 290 with population 759719.463165712\n",
      "loop no 19.0 for tract no 290 with population 763084.8396028248\n",
      "I am working on tract number 300 of 5160 tracts\n",
      "loop no 9.0 for tract no 306 with population 767971.487824148\n",
      "loop no 9.0 for tract no 308 with population 767825.2486010095\n",
      "loop no 9.0 for tract no 310 with population 733878.2465555767\n",
      "loop no 10.0 for tract no 310 with population 740509.6502540101\n",
      "loop no 11.0 for tract no 310 with population 746424.0791018282\n",
      "loop no 12.0 for tract no 310 with population 754080.18279144\n",
      "loop no 13.0 for tract no 310 with population 760724.8578106109\n",
      "loop no 14.0 for tract no 310 with population 764546.3595335196\n",
      "loop no 9.0 for tract no 315 with population 911815.7258098861\n",
      "loop no 10.0 for tract no 315 with population 612901.6170838312\n",
      "loop no 11.0 for tract no 315 with population 639470.8779252104\n",
      "loop no 12.0 for tract no 315 with population 952517.8364729631\n",
      "loop no 13.0 for tract no 315 with population 848373.0792534335\n",
      "loop no 14.0 for tract no 315 with population 763886.0704299833\n",
      "loop no 9.0 for tract no 316 with population 759803.9185197032\n",
      "loop no 10.0 for tract no 316 with population 765234.7350444746\n",
      "I am working on tract number 320 of 5160 tracts\n",
      "loop no 9.0 for tract no 327 with population 768963.5976657553\n",
      "loop no 9.0 for tract no 328 with population 754709.1053553992\n",
      "loop no 10.0 for tract no 328 with population 765302.8574018002\n",
      "loop no 9.0 for tract no 329 with population 763909.6176574586\n",
      "loop no 9.0 for tract no 330 with population 752926.7043106325\n",
      "loop no 10.0 for tract no 330 with population 765371.8749340877\n",
      "loop no 9.0 for tract no 338 with population 614598.4851038358\n",
      "loop no 10.0 for tract no 338 with population 652313.6650731777\n",
      "loop no 11.0 for tract no 338 with population 877432.0078960693\n",
      "loop no 12.0 for tract no 338 with population 877472.3284653641\n",
      "loop no 13.0 for tract no 338 with population 719850.4613116053\n",
      "loop no 14.0 for tract no 338 with population 799888.1057257059\n",
      "loop no 15.0 for tract no 338 with population 786408.5624681304\n",
      "loop no 16.0 for tract no 338 with population 779349.5948725801\n",
      "loop no 17.0 for tract no 338 with population 775250.8685754479\n",
      "loop no 9.0 for tract no 339 with population 614233.5274924276\n",
      "loop no 10.0 for tract no 339 with population 648760.7665188934\n",
      "loop no 11.0 for tract no 339 with population 881465.1107954904\n",
      "loop no 12.0 for tract no 339 with population 881393.8386377818\n",
      "loop no 13.0 for tract no 339 with population 672776.0657934272\n",
      "loop no 14.0 for tract no 339 with population 741644.9987328944\n",
      "loop no 15.0 for tract no 339 with population 753576.1530480913\n",
      "loop no 16.0 for tract no 339 with population 759988.9466005985\n",
      "loop no 17.0 for tract no 339 with population 763708.6114598331\n",
      "I am working on tract number 340 of 5160 tracts\n",
      "loop no 9.0 for tract no 350 with population 772141.081982821\n",
      "loop no 9.0 for tract no 352 with population 760713.294761996\n",
      "loop no 10.0 for tract no 352 with population 770066.1210004252\n",
      "loop no 9.0 for tract no 358 with population 643842.7758815261\n",
      "loop no 10.0 for tract no 358 with population 875476.2048165767\n",
      "loop no 11.0 for tract no 358 with population 877262.0510399697\n",
      "loop no 12.0 for tract no 358 with population 673414.6844689787\n",
      "loop no 13.0 for tract no 358 with population 781876.2675852273\n",
      "loop no 14.0 for tract no 358 with population 773571.654328512\n",
      "I am working on tract number 360 of 5160 tracts\n",
      "loop no 9.0 for tract no 360 with population 761377.4557362489\n",
      "loop no 10.0 for tract no 360 with population 770842.3028212788\n",
      "loop no 9.0 for tract no 364 with population 757180.1385836024\n",
      "loop no 10.0 for tract no 364 with population 760358.4655512588\n",
      "loop no 11.0 for tract no 364 with population 762530.5138805287\n",
      "loop no 9.0 for tract no 366 with population 763851.6697111243\n",
      "loop no 9.0 for tract no 368 with population 638482.6848106924\n",
      "loop no 10.0 for tract no 368 with population 656630.0321955745\n",
      "loop no 11.0 for tract no 368 with population 929258.9368732162\n",
      "loop no 12.0 for tract no 368 with population 928940.5463095852\n",
      "loop no 13.0 for tract no 368 with population 687834.2295387952\n",
      "loop no 14.0 for tract no 368 with population 694748.6417339123\n",
      "loop no 15.0 for tract no 368 with population 724215.1717563713\n",
      "loop no 16.0 for tract no 368 with population 741828.2074885487\n",
      "loop no 17.0 for tract no 368 with population 752778.7733931361\n",
      "loop no 18.0 for tract no 368 with population 759356.909485504\n",
      "loop no 19.0 for tract no 368 with population 763291.678235736\n",
      "loop no 9.0 for tract no 370 with population 742075.1986821021\n",
      "loop no 10.0 for tract no 370 with population 760061.5641274531\n",
      "loop no 11.0 for tract no 370 with population 766001.5994122569\n",
      "loop no 9.0 for tract no 376 with population 775458.5012719855\n",
      "I am working on tract number 380 of 5160 tracts\n",
      "loop no 9.0 for tract no 385 with population 719573.2742966989\n",
      "loop no 10.0 for tract no 385 with population 732483.9479188159\n",
      "loop no 11.0 for tract no 385 with population 813339.165663239\n",
      "loop no 12.0 for tract no 385 with population 780273.5610620573\n",
      "loop no 13.0 for tract no 385 with population 774721.8049925041\n",
      "loop no 9.0 for tract no 389 with population 772425.4996941737\n",
      "loop no 9.0 for tract no 390 with population 769162.1593453055\n",
      "loop no 9.0 for tract no 391 with population 775748.7869723553\n",
      "I am working on tract number 400 of 5160 tracts\n",
      "loop no 9.0 for tract no 410 with population 755999.6607304706\n",
      "loop no 10.0 for tract no 410 with population 759580.3362591506\n",
      "loop no 11.0 for tract no 410 with population 764792.9650792188\n",
      "I am working on tract number 420 of 5160 tracts\n",
      "loop no 9.0 for tract no 429 with population 710766.5240203312\n",
      "loop no 10.0 for tract no 429 with population 1052097.8257352505\n",
      "loop no 11.0 for tract no 429 with population 917941.3599960003\n",
      "loop no 12.0 for tract no 429 with population 719110.6291533126\n",
      "loop no 13.0 for tract no 429 with population 727083.0361957882\n",
      "loop no 14.0 for tract no 429 with population 755018.431192561\n",
      "loop no 15.0 for tract no 429 with population 760601.8674648535\n",
      "loop no 16.0 for tract no 429 with population 763702.5950303057\n",
      "loop no 9.0 for tract no 431 with population 767430.375982621\n",
      "loop no 9.0 for tract no 434 with population 775780.2571127763\n",
      "I am working on tract number 440 of 5160 tracts\n",
      "loop no 9.0 for tract no 453 with population 767860.9832112604\n",
      "I am working on tract number 460 of 5160 tracts\n",
      "loop no 9.0 for tract no 462 with population 768134.9996805225\n",
      "loop no 9.0 for tract no 471 with population 685376.3326918172\n",
      "loop no 10.0 for tract no 471 with population 831704.8111607115\n",
      "loop no 11.0 for tract no 471 with population 733118.2072066788\n",
      "loop no 12.0 for tract no 471 with population 740483.7856608224\n",
      "loop no 13.0 for tract no 471 with population 778107.6304318928\n",
      "loop no 14.0 for tract no 471 with population 773131.428164794\n",
      "loop no 9.0 for tract no 472 with population 767134.1980760733\n",
      "loop no 9.0 for tract no 473 with population 771359.842109279\n",
      "loop no 9.0 for tract no 474 with population 664334.721902651\n",
      "loop no 10.0 for tract no 474 with population 664401.1353589976\n",
      "loop no 11.0 for tract no 474 with population 692418.053028302\n",
      "loop no 12.0 for tract no 474 with population 938803.6224437464\n",
      "loop no 13.0 for tract no 474 with population 750232.9390509957\n",
      "loop no 14.0 for tract no 474 with population 754506.159177646\n",
      "loop no 15.0 for tract no 474 with population 754506.159177646\n",
      "loop no 16.0 for tract no 474 with population 754506.159177646\n",
      "loop no 17.0 for tract no 474 with population 754506.159177646\n",
      "loop no 18.0 for tract no 474 with population 754506.159177646\n",
      "loop no 19.0 for tract no 474 with population 754506.159177646\n",
      "loop no 20.0 for tract no 474 with population 754506.159177646\n",
      "loop no 21.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_57/130663244.py:156: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  targetWedgePop = (avgDistrictPop - sumPartialWedgePops )/nActiveWedges  #update for beyond-map changes\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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7iIuPp1iRQvj5mLZZqlcq53BlHhV994GzP44k71nfiLiefB+P/IWS31CsWNa0BVK2VEWyumc1MPnDws6e5JU3m5Eje05+m7WZggWsd7520ip8+6+1ebaY48/OlAJ/wOVr4TR4qRvtX2rFl8PfMTqOeIyIyNv8ZV6ZB+3cR3xCAsWfKYSfT1P8fL2pWqGsXZV5fHw8Z86HPvSmYkjoMc5eOP3Q9keFMpX/s/2RP6+Hwemf7PK1i7zcsynRMVH8NnszpYp7WvX1Fq28zJAvwsiR3ZUTm+tb9bVsgRT4vyQNP94ZMJ9CBZzrnFJ7dPNWpHllvpktuw4Qn5DAs0WL4OdrWplXKe9pM2WuteZq+OWHP04eepRTfwc/tP1RqrjnI7c/7O2N3Fu3I2jXqwXnLvzNsh8CqVaxltVfU2tNsTqmsWsH19bBI79jXy46zQWulHIHgoAsmD56v0xrPUopNR7wA2KBMMBfax3xpOeypQJPGn7cq3NbRg503OHHjujmrUjWbtpOQGAQW3bvJyEhkZLFnqGNrzd+Pk2pXK50hpX53ag7nDh9PLmkj5s/rXjzVnjyfQrmL/zAKXqms0A8S1awqe2PtIq5F0PnAS+y7/BO5k9ahXe9jLtg3KRZ//DVtHOUKuHO1hWOPfw4PQWugOxa6ztKqUzAVmAgkAvYoLWOV0qNA9BaD33Sc9lSgcP94ce7Vy8kb27HH37siG5ERLJ20zYCAoPYuucACQmJlCpRlDYtTGezVCprmTJP2v5IKugHtz+SZMuanfJlKj+0oq7oWYV8eQqk+/VtUUJCAn2GdWTNxl/5/osFvNyqfYa+vjMNP7bIFopSKhumAu+rtd71wO2vAq9prTs/6fG2VuDOPPzYEd2IuMUfG7cRsG4z2/cdIiEhkdIliiVvs1T0LJVimWutuXL90n8u0nTq72Duxd4DTNsfpUuUfaikK3hWocQzpexu+yOttNYMG9ufhSt+ZPT73/Jmh/6G5Bg5/jSzf75E/Vq5WD7DcYcfp6vAlVKuwD7AE/ju3yttpVQA8LPWeuEjHtsL6AVQokSJ2mfPnk3bEViJ/3uj2H3wKLtXLyR7Nvv/kVaYhN+MMJV5YBDb9x4iMTGRMs8Ww8+3KX4+3pQvU5Ko6LuEhB37T1k/uP1RqECRh4q6omcVPEtVxD2L45/58CTfzviMb2Z8Rv8eHzC8/xeG5XCW4ceWWoHnAVYCA7TWR823fQh4AW11Ck9maytwgH1HgnnJfyAfD+pFbxl+7JCu37jJmg3bCAjczM79R0hMTCSTWxxx8ReAq0AU2bPluL/98cDHyvPlkTe4/23+shkM/7I/7f26883HMwx/87j3sBBWB4bj55uf6WMdc/ixxc5CUUqNAu5qrb9WSnUH+gAttNZRKT3WFgsc4I2+Qwj9+xw7Vs0nS2bHfjfb2V0Lv8mSVav5fv4CIm9rQOHqEkOdGmXp06Uzvt7NjY5o09ZsWEnvYR1p3uh5Zo1fhpsNDL92huHHaR5qrJTyMK+8UUplBXyAEKXU88BQ4KXUlLctG+Df0Tz8eJ3RUYSVeeTPywD/rgRv/It1P03Bz7c62bNlYef+c/R470tKNWjO633eJnDrJqOj2pwd+4Lo/1E3alapy/SxP9lEeYNp+HG9mqaTED6beMbYMBksNWehVAPmAa6YCn+p1nq0UioU06mFSRuGO7XWfZ70XLa6Ak8afnwjIpKg5bNl1qMTOnoimClzZrF55yFu3wFQZMkcj1d1T/p06ULzRt5GRzTUsZOHaPd2CwoXfIaVMzeRN3c+oyM9xNGHH8sHeVKQNPx46ufDePV5+THamR0JOcaU2bMJ2nWY23dNRZAlczx1a5SlT9cuNGvQxOCEGeufi2d4yd8bVzc3fpu1maKFbXOwcNLw4yF9SzDwTdvMmFZS4ClIGn6slGLd4ulOczqYeLJDx48yZc5stuw6zJ0o098J9yzx1K1Rjr7duuJdz7EvphR+8xqvvNmMGxHXWfHjBsqXqWx0pMdy5OHHad4DdxYuLi7069GekLAzBG7ZlfIDhFOoXqkKM8d/y4mgQALmfk2rZpVwdXUhaNdpOvb7lDKNmtOpf1+27t5hdFSLuxt1h24DX+bilX+YO+FXmy5vMA0/zpbVVGk//XrF4DQZQ1bgD4iPT6Bx2x4UyJeXgDmTHOpfcGFZ+w4fZOrcOWzbc4y70abSyOoeT/2aFfhf9+409KpncML0iY2Lpce7r7J1zwZmjv+Flt5tjI6UKmfOR9Polf2AY11qVlbgqeDm5sr/urXnwNEQtu87ZHQcYcNqV6vBnG8ncXJLIL/NHodvE9MAio07Qnm9z0g8G7eg68B+7Nq/x+ioTy0xMZHBo99m8851fDVimt2UN0DJYvc/jPfHxvAn3NMxyAr8X2LuxdLgpW6UL/MsS2T4sXhKuw7s5ft589i+7zhR0aazmbK5J9DQqxL9/f2pU936V+pLr9ETh/LDwgkM6/cZA/yfeHkjm3T0xB1adTYtwBxlFS4r8FRyz5KZ3l3asWX3AQ4cDTE6jrAz9Wp6MW/iFE5tWc/yGV/QvFE5NBC49QSvvDmMsk1a0P3dd9h3+IDRUR9p+oJv+WHhBHq270f/HkOMjpMmD45Z27HvloFJrE9W4I+QNPy4fq2qzPr6E6PjCAewfe8uvp8/n537Q4iOMa3Ms2dNpFGdygzw70mtqtUNTgi/rF7AoE/exM/3Nb7/YqFdn4m1fe8tXu/jOMOP5TTCp5Q0/HjDzzMoX6ak0XGEA9m6ZyfTzGUec8/0acbs2RJpXLcK7f1epaW3d4a+gR5zL4YZiyYy7vuPaVy3OfMn/mbxQcRGSBq79tdPNahcLrvBadJHCvwp3R9+3Igpn9nfPqCwD0G7tjNt/gJ2HzyRXOYe+RLo7/8KL7ZoS5GCRS32WomJifxz8cxDczdDQo8SeuZE8n1CNl23yiBiI6zZEM7bQxxj+LEUeBp8OuEHZi1ZKcOPRYZYt2UTPd4dQ+bMCcTGbgGgbo1G+Pm8RusWr1LY45lUP9eNiOsPlXRw6FFOhB0jKvpu8n2eLVqaCp6m+Zu3IiNo27oTtava9+mP/+Yow4+lwNPg0tXrNHy5uww/Fhlm5uKVjPpmGlM+G8S5CwdZHbiM4NCjKKUeKvNCBUwLiph7MZz6O5jg0COEhN6/tvmV65eSnzNv7vz3r2detioVPKtQvnQlsmfL8bgYDmPB8ssMGxtGzuyuhNjx8GMp8DQa8sVElv2+jh2rZPixsL6o6Gjq+XWjRuXyLJj0OQChZ0IICFzO6nXLCAk7hlKKmlXqEnk7gtPnTpGYmAiAexZ3ypaq+J9JQQXzF3baD6U5yvBjKfA0OnP+Ik3a9qR353Z8NPBto+MIJzBp1k98NW0uaxdNo0r5Mg997+Tp46wOXM6mnevwyFfwgbKuSqninri6ypU0/23izH8YP/0cpUu4s8VOhx9LgadD/4/G8lfQTnYFLJDhx8Lqbt2+Q902XXiuYR2mj/3Q6Dh2zxGGH8sHedKhX48O3I2KZu7SVUZHEU4gd84c9Hjdj9WBQYSdPW90HLvn4qLwf8P0nkHP94INTmNZUuCpUNGzFC29GzBzyUruRkUbHUc4gbc6tiVL5kxMm7/U6CgOYdR7JQHYsT+S6JgEY8NYkBR4KvX370DErdssXPG70VGEE/DIn5cOLz3Pst8DuXD5qtFx7F4mNxdaNzedhPDep6EGp7EcKfBUql21Ig29qvPDwmXci401Oo5wAn27vY7Wmh8WLTc6ikOYPLosAKvWXScuPtHgNJYhBf4UZPixyEjFihTi1Reas2jFGsJvRhgdx+5ldXelTvWcgOMMP5YCfwpN6takRqXyTJv/C/HxjrOPJmxXv+7tuRcby8zFK42O4hDmTawEwKwll0hMzLgz8KxFCvwpKKUY0LMDZ85fZHVgkNFxhBMoW6oELzzXiLlLV3H7zt2UHyCeKHdON0qaP1L/3bwLBqdJPynwp9TSuwHlSj/LlDmLkz8BJ4Q1DfDvQOSdu8xfttroKA5h5cyqAHz53Vky8nMw1iAF/pRcXFzonzT8eKsMPxbWV61iOZo18GLGT8uJjrlndBy7V7DA/eHHi3+z7+HHUuBp8HLL5yj+TCEmz15s9/+CC/swwL8D129E8POqtUZHcQjrFtcA4IPPw4wNkk5S4Gng5uZK325vyPBjkWHq1ayKV7VKfD9/KXHx8UbHsXsPDj/+c5P9Dj+WAk+j9n6t8MiflymzFxsdRTgB0xvoHblw+Sor/9xgdByHsHahaYzdm+/b7+zbFAtcKeWulNqtlDqklDqmlPrUfHs+pdQ6pdQp83/zWj+u7XDPkpnenU3Djw8eO5HyA4RIpxaN6lKxbGmmzllCQoKcxppeVSrcvx76zv32Ofw4NSvwe0BzrXV1oAbwvFKqPjAMWK+1LgusN//eqXRt14bcOXMwde4So6MIJ6CUYoB/B8LOnufPTduNjuMQlk6vDEC7XkcNTpI2KRa4Nrlj/m0m8y8NvAzMM98+D3jFGgFtWY7s2ejZ4RX+2LiNk6fPGh1HOIE2LZpQsvgzTJ27RN5At4BGXnmSvz5+yv7Os0/VHrhSylUpdRC4CqzTWu8CCmmtLwGY/1vwMY/tpZTaq5Tae+3aNQvFth09279CtqzuTJ37s9FRhBNwdXWlf/f2HA4+RdCufUbHcQgzxpUHwLfjQWODpEGqClxrnaC1rgEUA+oqpaqk9gW01jO01l5aay8PD480xrRd+fLkokvbF/l17QbOXbiU8gOESKdqlcoB8Pv6LQYncQwvtiiQ/PW5CzEGJnl6T3UWitY6AtgEPA9cUUoVATD/12mvedmrcztcXVyZtuAXo6MIB3fxyjV6vPsxHvnz0q97B6PjOIyxw0oD0KrzQWODPKXUnIXioZTKY/46K+ADhACrgO7mu3UHfrNSRptXpGABXm/jw8+r1nLluv2eUyps281bkXQeMILIO3dZOOkLni1WxOhIDqNru8IARN5J4Fq4/VwuOjUr8CLARqXUYWAPpj3w1cCXgK9S6hTga/690+rb7Q3i4hP4cdEKo6MIBxQdcw//90Zx5p+LzPp6FFUqeBodyaEopXi/d3HAvs5ISc1ZKIe11jW11tW01lW01qPNt4drrVtorcua/3vD+nFtV6niRXnJtynzl68mIvK20XGEA4mPT+B/I8aw9/BxJn82lMZ1ahodySG909NU4GFno4m8Yx+fdpVPYlpQvx7tuRsVzZylTrubJCxMa82wsZP4K2gHn3/QDz8fb6MjOSxXV0X3101bKT0H28fwYylwC6pUtjS+Teozc7EMPxaW8dW0uSz+7U8GvtmJHm+8ZHQch/fp4FIA7NgXScw9279ctBS4hQ3o2ZGIW7dZtHKN0VGEnZu95Fcmz15Mp1de4IM+3VN+gEi3B4cfDx59yuA0KZMCtzAZfiwsYdW6zXz8zTRaNW3A2GHvoJQyOpLTSBp+/Ota2x9+LAVuBQP8O3L5WjjLfg80OoqwQ1t2H+CdkeOoU70y330xAjc3V6MjOZWs7q7UrmYafvz5pDPGhkmBFLgVNKlbk+qVyvH9vKUy/Fg8laMhobz1waeULlGUOd9+Slb3LEZHckoLJpmGH89cbNvDj6XArSDpqnEy/Fg8jTPnL9Jl4IfkzpmDRVPHkidXTqMjOa3cOd0oUdT0j+d7o0MNTvN4UuBW0qppQ8qWKiFXjROpci38Jp37jyAuPp6fpo6hSMECKT9IWNWvs6oB8Mtq271KiBS4lZiGH3cgOPRvGX4snuj2nbt0eedDLl8LZ/7Ez/EsWcLoSAIoVCAz65fUYO8aL6OjPJYUuBW93KqZDD8WT3QvNpa3howmOPQ0M8aNpHbVikZHEg+o4JmdIgVt930IKXAryuTmRt9ub7D/SDA79h02Oo6wMYmJiQwaNZ6tuw/wzcjBtGhc1+hIws5IgVtZ8vDjOTL8WNyntWbUN9NYtW4zHw54i9fb+BodSVhBdEycVc9icbPaMwvg/vDjzyfP5OCxE9SoXN7oSMIGTJ27hNk//8bbndrSt9vrRscR6RQXn8DpszcICb1KcOg1QkKvcfTkZS5dMV3Y7rmGpZk5/jXcs1i2cqXAM0DXdm2YMmcJU+cuYeb4UUbHEQb7edVavvxuDq8+/xwfD+oln7K0I1prLl29TUjoteSyDg69SvCpJ5+psnH7aS5djaRU8XwWzSMFngFyZM+Gf/uXmThzESdPn6Vc6WeNjiQM8lfQDj74YgJN69fm21Hv4+Iiu5i26vade4SEXSP41FVCwq4SEnqNfYcvEJ/w5I/X582dleqVilDB04OKngWp4FkQz5L5Lb76BlAZeXaEl5eX3rt3b4a9ni25EXGLum268GKLJkz6dIjRcYQB9hw6Rof/DaV8mZIsnfYVObJnMzqSwLT9EXYmnJDQawSHmVbWR09c4fLVlK/rX7taUSqUSSpqDyp4FiRv7qwWz6iU2qe1/s/5jLICzyD58uSmS9sXmf3zr7zfuxvFnylsdCSRgU6EnaHHux9TpJAH8yd+JuVtAK01F6/cJiTUtJoOCTNvgaSw/QFQtlT+5NV0RXNRFyuSGxcXY7e/pMAzUO8urzF36SqmLfiFMUMHGB1HZJALl6/S+Z0RZM6UiZ+mjKFAvrxGR3J4kXdiOBF6zfSGYphpj3rv4QspnhGSP282qlUsTIUyBalY1rSq9iyZnyyZbbMqbTOVgypSsABv+Pmy5Lc/GfRmZwoWsOwbGsL2JA0ivnMniuU/fkOJojKI2JIe2v4wv6l47MRlLl+7k+JjvaoVM+9Tm1bU5ct4WGX7w5qkwDNY325vsPi3tfz40wo+fOcto+MIK4qOiaH7ux9z9vwlFk0ZQ+VyZYyOZLdM2x+R5lP0rj50FkhKypUu8NAedUVPD4oVye0QZ/9IgWewpOHH85YF0K9He7ninIOKj0+gz/Av2H8kmB++/IiGXtWNjmQ3Iu/EJK+ok4p6z6HzpHS+RYF82ahWocj9oi5bkDLP5rPZ7Q9LcNwjs2H9erTn17UbmbP0N959q4vRcYSFaa0Z8sVEArfsYsywAbzYoonRkWxSbFwCYWfDk0v6+KmrHA25zNXwuyk+1qtaMSqWvb+iLl/Ggzy57Gv7wxKkwA1QqWxpfJrUY9biX+nduR3ZsjrfXzxH9uX3c/g5YC3vvt2F7q/5GR3HcEnbH8dP3V9Rm84CSXn7o3zpAuY3Ewsmn1ddtHAuh9j+sAQpcIMM8O/Iyz0HsWjlH7zdqa3RcYSFzFqykqlzltD51dYM7tXV6DgZ7tbtmAc+Tm4q6j2Hzqf4uIL5s1OlQuGH9qo9S+YncyYZJ/ckUuAG8apWiQa1qzN94TK6vdaGLJkzGx1JpNNvazcy6pvpvPBcI8YOG+DQq8TYuARCz4Qnl3Rw6FWOhFzmWiq2P+pUL5Zc0pXKms7+yJ3TPQNSO54UC1wpVRyYDxQGEoEZWutJSqkawHTAHYgH/qe13m3FrA7nHf8OdOw/nOVr1tPplReMjiPSIWjXfgaOGk/dGpWZ+vlwXF0dY+WotebC5cjkNxSDT10lOPQqJ09fT/GxFcp4JJ9LnbRX/Uwh2f6wpNSswOOBwVrr/UqpnMA+pdQ64CvgU631H0qp1ubfN7NeVMfTpF4tqlcqx3dzf+aNNi1l+ridOhx8krc++BTPksWZ8+1o3LPY509TEZHRD52eFxJ6jb2HU97+KFQgh3n7wyN5r7rMs7L9kRFSLHCt9SXgkvnr20qpYKAooIFc5rvlBi5aK6SjShp+/NYHo/l9fRAvt3rO6EjiKf39zwW6DvyIvLlzsXDKGHLnzGF0pBTdi403b3/c36c+HHKJ6zeinvg4pZK2P+6/oSjbH8Z6qotZKaVKAkFAFUwlvhZQmAZDNNRan33EY3oBvQBKlChR++zZ/9zFqSUmJtK8fS/cXF1Zt3i6/HhpR65ev8Erb75L5J27/DprAp4lixsd6SFaa85fuvXQG4rHT13h1N/hKT62YvK2x/0tkGcK5ZS/nwZJ98WslFI5gOXAIK11pFLqc+BdrfVypdQbwCzA59+P01rPAGaA6WqEaT0AR+Xi4kK/7u0Z9Ml4ArfuwrdJfaMjiVRIGkR8NfwGS6d/ZXh5P7j9cfzUVULCTJc+TUlhD9P2RwXPglQs42Ha/iiZn0yynWcXUrUCV0plAlYDa7XW35pvuwXk0VprZfpn+ZbWOteTnseZLyf7JHHx8TR+1Z9CHvn5bdYEWeXYuHuxsXQd+BG79h9h7oTRPNewTga+tmn7I/jU/SvqHQ6+TPjNJ29/uLqq5Gt/VChj/vCLpwe5csj2hz1I8wrcXM6zgOCk8ja7CDQFNgHNgVOWiep8TMOPX+fDcVPZuf8IDWpXMzqSeIyEhATe+fgrtu05yKRPh1itvBMTTdsfD55THRx6NXXbH2XNlzx94Ip6RQrK9ocjSs0WSiOgK3BEKXXQfNsI4G1gklLKDYjBvM8t0qa9XysmzlzElDmLpcBtlNaaj7+exurAIEYOfJvXXvzPjmGa3LwV/dD51Kne/iiYk6rlCz90Rb3Sz+aT7Q8nkpqzULZieqPyUWpbNo7zyuqehV6d2vHFlJkcOn6S6pXKGR1J/Mvk2YuZ+8sqend5jT5dn34Q8b3YeE79HZ68mg4Jvcbh4EvciIh+4uPcXF3wql6UCmXuv6FYoYwHOXNkSeuhCAchn8S0IV3bvcjUuUuYOmcJP47/2Og44gE//foHX02bS9sXWvBRCpcBTkzU/HMx4qEVdfCpq4SeSXn7o1K5gsl71ElX1CvskUO2P8QjSYHbkJw5ssvwYxv01+YdDB0ziWYNvPh21OCHBhHfiIi6fz51mGkCzP4jKW9/FCmUkyrlCj90Rb1SJWT7QzwdGWpsY2T4sW3ZffAoHfsNo1ypUox+/33OnI9MnlB+8PglIm49efsjcyZXalcten/rw9ODCmU8yJFdtj9E6slQYzuRL09uOr/amjlLf5Phxwb7a/Mheg2dD3hxOCQzr7y16In3r1yuUPInFJMKW7Y/hDVJgdug3l1eY94vAUxfsIwvhvY3Oo5TWrB8F8PGrgfy/+d7RQvnSi7rpCvqlSqeDzc3l/8+kRBWJAVug54p5MHrbXxZ/NsfDHyzkww/zmA3IiL5fPKvQE5y5sjM6y9WSy7r8qULyPaHsBlS4Daqb7c3WLJqLTMXr2TEgDeNjuM0oqKj6f7uSGJjQ5k3YTQ+TeRMWWG75Gc+G1W6RFH8fLyZtyyAiMjbRsdxCnHx8fQZPoaDx07w3RfDpbyFzZMCt2H9/Ttw524Uc5euMjqKw9Na88HnE1i/dRdjhvandfPGRkcSIkVS4DYsafjxzMUriYp+8ulqIn3GTp3NL6vXMbhXV7q2a2N0HCFSRQrcxg3w78jNW5EsWvmH0VEc1o8/reC7eT/TtV0b3n27i9FxhEg1KXAb51WtEg1qVWP6wmXci401Oo7D+fXPjXzy7XRaP9eYL4b0k3O2hV2RArcDA3p24PLV66xYs97oKA5l8869DPpkPA1qVWPK58McZhCxcB5S4HbAu15tqlUsy9R5P5OQkGB0HIdw6PhJ3vpgNJ6lSjDrm0/sdhCxcG5S4HbANPy4I2f+ucjq9VuMjmP3Tp+7QNeBH5I/b24WTv7CLgYRC/EoUuB24vlmDfEsWZwpc5aQkRcgczRXrofTecBwtIZFU8ZS2OO/H5UXwl5IgdsJFxcX+vfoQPCp06zfttvoOHYp0jyI+PqNCOZP/IwyzxYzOpIQ6SIFbkdeef45ihUpxOTZi2UV/pRi7sXSc/AnnAw7y49ffUzNKhWMjiREukmB25Gk4cf7Dh9n5/4jRsexG6ZBxOPYse8QEz55n2YN/nNZZSHskhS4nWnv14oC+fIwZc5io6PYBa01I7/+nt/Xb+HjQb1o+0ILoyMJYTFS4HYmafjx5p37OBx80ug4Nm/irEXM+yWAvl1fp3eX14yOI4RFSYHboW6vtSFXjuxMmbPE6Cg2bdHKNXw9fT6vvegjl+QVDkkK3A4lDT/+Y+M2Tv19zug4NunPTdsYNnYyzRvW4euR7z00iFgIRyF/q+3UWx1fxT1LZr6b97PRUWzOzv2H+d+IMVSvWJYfxn1EJjeZWyIckxS4nUoafrzij/X8c/Gy0XFsRnDo3/i/N4piRQoxf9LnZMua1ehIQliNFLgd693lNVyUC9MXLDM6ik04f+kKXQaMIFtWd36aOpZ8eXIbHUkIq0qxwJVSxZVSG5VSwUqpY0qpgQ98b4BS6oT59q+sG1X8W9Lw4yWr/uRa+E2j4xjqRsQtOvUfTlR0DAunjKFYkUJGRxLC6lKzAo8HBmutKwL1gX5KqUpKqeeAl4FqWuvKwNdWzCkeo2+3N4iNi2fm4hVGRzFMVHQ03QZ+xPlLV5g7YTQVPUsZHUmIDJFigWutL2mt95u/vg0EA0WBvsCXWut75u9dtWZQ8WilSxSlTYsmzP0lgFu37xgdJ8PFxcfTe+jnHAo+xfdjRlCvZlWjIwmRYZ5qD1wpVRKoCewCygFNlFK7lFKblVJ1HvOYXkqpvUqpvdeuXUt3YPFfzjr8ODExkcGjv2XD9j18Ofwdnm/WyOhIQmSoVBe4UioHsBwYpLWOBNyAvJi2VT4AlqpHzKPSWs/QWntprb08PDwsFFs8qHK5MrRo7HzDj8dMmcXyNYG836cbnV9tbXQcITJcqgpcKZUJU3kv0lonbbaeB1Zok91AIlDAOjFFSgb4d+BGxC1++vVPo6NkiB8WLmPagl/o/rofg97sbHQcIQyRmrNQFDALCNZaf/vAt34FmpvvUw7IDFy3QkaRCnWqV6ZBrWpMW/ALsXFxRsexqhV/rGf0xBm82KIJn73/PxlELJxWalbgjYCuQHOl1EHzr9bAbKC0UuoosAToruUi1YZKGn68/PdAo6NYzaYde3n3k69pULs6k0cPlUHEwqmpjOxcLy8vvXfv3gx7PWejtaZ1t/7cvhvF5l9mOly5HTx2gtf7fEDJ4s+wfMY35MqR3ehIQmQIpdQ+rfV/LmQvn8R0IEop+vfowN/nLvD7hq1Gx7GosLPn6TrwIwrky8PCyV9IeQuBFLjDeeG5Rubhx44zdu3ytXA69R+OUqZBxIUKyCBiIUAK3OG4uLjQr0d7jp88zYZte4yOk263bt+hyzsfciPiFgsmfUHpEkWNjiSEzZACd0CvPt+cooULMnn2T3a9CjcNIh5F6N/nmDV+FNUrlTM6khA2RQrcAWVyc+N/3d5g7+Hj7Dpgn8OPExISGPDRl+zcf4SJn3yAd/3aRkcSwuZIgTuo9i8lDT+2v7FrWmtGjJvKmo1b+eS9Przy/HNGRxLCJkmBO6ik4cebduy1u+HHE35cyMIVv9Ove3ve7tTW6DhC2CwpcAdmj8OPFyxfzTczFvB6G1+G9+9pdBwhbJoUuAPLmSM7Pd54iT82biP0jO0PP16zYSsjxk2leaO6jP/oXfmIvBApkAJ3cG91fJUsmTPz3bylRkd5oh37DtP/o7HUqFyeH778UAYRC5EKUuAOLn/ePHRu25oVa9Zz/tIVo+M80vFTp/F/72OKP1OYeRM+k0HEQqSSFLgT6N25HUopmxx+/M/Fy3QZMILs2bOZBxHnMjqSEHZDCtwJFC1ckNde9GHxb3/Y1PDj8JsRdOo/gph7sfw0ZQxFCxc0OpIQdkUK3En8r3t7mxp+fDcqmm4DR3LxylXmThhN+TIljY4khN2RAncStjT8OC4+nl5DP+NwyCmmjfmQujWqGJpHCHslBe5E+vUwfvhxYmIi7336DZt27GXciIG0bNrAsCxC2DspcCdSpXwZmjeqy8zFK4mOiTEkw+eTZ7Lij/UM6duDTq+8YEgGIRyFFLiTece/o3n48R8Z/trTF/zCDwuX4f/Gy7zTs2OGv74QjkYK3MnUqVGZ+rWqZvjw42W/B/LZpB/x823Kp4P7yKcshbAAKXAnNMC/I5euXGfFmvUZ8nobtu1m8OhvaFSnBpM+/cDhZnUKYRQpcCfUtH5tqlbwZOq8n0lISLDqa+0/GkyvoZ9RvkxJZo0fRZbMma36ekI4EylwJ6SUYoB/R6sPPw498w/dBo6kYP58LJz8BTllELEQFiUF7qSsPfz40tXrdOo/HFdXFxZNHUPBAvks/hpCODspcCfl4uLC/7qbhh9v3G7Z4ce3bt+hy4ARRETeZsGkzylVXAYRC2ENUuBOrO0LpuHHlhz4EB1zD//3Pibs7Hlmjh9FtYoyiFgIa0mxwJVSxZVSG5VSwUqpY0qpgf/6/vtKKa2UKmC9mMIaMrm50bfr6+w+eNQiw48TEhLo/9FYdh88xqTRQ/CuV8sCKYUQj5OaFXg8MFhrXRGoD/RTSlUCU7kDvoDtj3sRj9Th5efNw48Xp+t5tNYM/3IKf27azqeD+/Byy2aWCSiEeKwUC1xrfUlrvd/89W0gGEja1JwADAEs/y6YyBBZ3bPwdqe2bNy+lyMhp9L8PN/MWMCilWvo79+BNzu8asGEQojHeao9cKVUSaAmsEsp9RJwQWt9yBrBRMbp9ppfuoYfz1sWwIQfF9LhpVYM+5+/hdMJIR4n1QWulMoBLAcGYdpW+RD4OBWP66WU2quU2nvt2rW05hRWlMs8/HjNhq1PPfx4dWAQH46bik+TeowbMUg+Ii9EBkpVgSulMmEq70Va6xVAGaAUcEgpdQYoBuxXShX+92O11jO01l5aay8PDw/LJRcWlZbhx9v3HmLAyHHUqlqR6WM/xM1NPiIvREZKzVkoCpgFBGutvwXQWh/RWhfUWpfUWpcEzgO1tNaXrZpWWE3+vHno/OoLrFiznguXr6Z4/2Mnw+g5eBTPFivCvAmjyerungEphRAPSs0KvBHQFWiulDpo/tXayrmEAXp3eQ0wXfb1Sc5duESXAR+SI0c2Fk0ZQ97cMohYCCOk5iyUrVprpbWuprWuYf615l/3Kam1vm69mCIjJA0//unXP7h+49HDj6/fuEnH/sOJjYvjpyljZRCxEAaST2KKh/yve3vuxcbx4+KV//ne3ahoug0ayeWr4cydMJpypZ81IKEQIokUuHhImWeL0cbHm3lLVz00/Dg2Lo63h4zm6IlQpo0dQZ3qlQ1MKYQAKXDxCP17dOD23Sjm/RIAJA0i/prNO/cx/sN3aektg4iFsAVS4OI/koYf//jTCqJjYvh0wg+s/HMjw/r50/6lVkbHE0KYSYGLR0oaftzhf8OYuXglb3Z4hf49OhgdSwjxAClw8Uh1alSmXs0q7D18nJd8m/LJezKIWAhb42Z0AGG7xgwdwG9/bWLQW51xcZF/64WwNVLg4rEqeJaigmcpo2MIIR5DllVCCGGnpMCFEMJOSYELIYSdkgIXQgg7JQUuhBB2SgpcCCHslBS4EELYKSlwIYSwU0prnXEvptQ14KwFnqoA4MgDJBz9+ECO0VHIMWaMZ7XW/xkqnKEFbilKqb1aay+jc1iLox8fyDE6CjlGY8kWihBC2CkpcCGEsFP2WuAzjA5gZY5+fCDH6CjkGA1kl3vgQggh7HcFLoQQTk8KXAgh7JTdFLhSqrpSaodS6ohSKkApletf3y+hlLqjlHrfqIzp9bhjVEr5KqX2mW/fp5RqbnTWtHrSn6NSarhSKlQpdUIpZbfTk5VSNZRSO5VSB5VSe5VSdc23Z1JKzTMfe7BSarjRWdPqccdo/l4185/xMfOxuhuZNS2edHzm79tG32it7eIXsAdoav66J/DZv76/HPgFeN/orJY+RqAm8Iz56yrABaOzWuEYKwGHgCxAKSAMcDU6bxqP8S/gBfPXrYFN5q87AUvMX2cDzgAljc5r4WN0Aw4D1c2/z2+Pf46PO74Hvm8TfWM3K3CgPBBk/nod0C7pG0qpV4DTwLGMj2VRjzxGrfUBrfVF8+3HAHelVBYD8lnC4/4cX8ZUbve01n8DoUDdRzzeHmgg6SeL3MDFB27PrpRyA7ICsUBkxseziMcdY0vgsNb6EIDWOlxrnWBAvvR63PHZVN/YU4EfBV4yf/06UBxAKZUdGAp8alAuS3rkMf5LO+CA1vpehqWyrMcdY1Hgnwfud958mz0aBIxXSv0DfA0kbZUsA+4Cl4BzwNda6xuGJEy/QTz6GMsBWim1Vim1Xyk1xKiA6TSIRxyfrfWNTQ01VkoFAoUf8a0PMf24PVkp9TGwCtPqBUz/Q07QWt9RSmVM0HRI4zEmPbYyMA7TKsdmpfEYH/WHZ7PnuKZwjC2Ad7XWy5VSbwCzAB9MP1EkAM8AeYEtSqlArfXpDIr9VNJ4jG5AY6AOEAWsV0rt01qvz6DYqZbG47OtvjF6rymN+1PlgN3mr7dg2ks8A0QAN4D+Rme05DGaf18MOAk0Mjqblf4chwPDH/jeWqCB0RnTeFy3uP8ZCwVEmr/+Duj6wP1mA28YndfCx9gBmPvA/UYCHxid14LHZ1N9YzdbKEqpgub/ugAfAdMBtNZNtNYltdYlgYnAGK31VKNypsfjjlEplQf4HVPBbTMsoAU87hgxrcY7KKWyKKVKAWWB3cakTLeLQFPz182BU+avzwHNlUl2oD4QYkA+S3jcMa4Fqimlspn3+psCxw3Il16PPD5b6xub2kJJQUelVD/z1yuAOUaGsZLHHWN/wBMYqZQaab6tpdb6akYHtIBHHqPW+phSaimm/7PHA/20fb75BfA2MMlcYDFAL/Pt32E63qOYVnVztNaHjYmYbo88Rq31TaXUt5jONtLAGq3178bFTLPH/RnaFPkovRBC2Cm72UIRQgjxMClwIYSwU1LgQghhp6TAhRDCTkmBCyGEnZICF0IIOyUFLoQQdur/Iuq4kvGlwSUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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7iIuPp1iRQvj5mLZZqlcq53BlHhV994GzP44k71nfiLiefB+P/IWS31CsWNa0BVK2VEWyumc1MPnDws6e5JU3m5Eje05+m7WZggWsd7520ip8+6+1ebaY48/OlAJ/wOVr4TR4qRvtX2rFl8PfMTqOeIyIyNv8ZV6ZB+3cR3xCAsWfKYSfT1P8fL2pWqGsXZV5fHw8Z86HPvSmYkjoMc5eOP3Q9keFMpX/s/2RP6+Hwemf7PK1i7zcsynRMVH8NnszpYp7WvX1Fq28zJAvwsiR3ZUTm+tb9bVsgRT4vyQNP94ZMJ9CBZzrnFJ7dPNWpHllvpktuw4Qn5DAs0WL4OdrWplXKe9pM2WuteZq+OWHP04eepRTfwc/tP1RqrjnI7c/7O2N3Fu3I2jXqwXnLvzNsh8CqVaxltVfU2tNsTqmsWsH19bBI79jXy46zQWulHIHgoAsmD56v0xrPUopNR7wA2KBMMBfax3xpOeypQJPGn7cq3NbRg503OHHjujmrUjWbtpOQGAQW3bvJyEhkZLFnqGNrzd+Pk2pXK50hpX53ag7nDh9PLmkj5s/rXjzVnjyfQrmL/zAKXqms0A8S1awqe2PtIq5F0PnAS+y7/BO5k9ahXe9jLtg3KRZ//DVtHOUKuHO1hWOPfw4PQWugOxa6ztKqUzAVmAgkAvYoLWOV0qNA9BaD33Sc9lSgcP94ce7Vy8kb27HH37siG5ERLJ20zYCAoPYuucACQmJlCpRlDYtTGezVCprmTJP2v5IKugHtz+SZMuanfJlKj+0oq7oWYV8eQqk+/VtUUJCAn2GdWTNxl/5/osFvNyqfYa+vjMNP7bIFopSKhumAu+rtd71wO2vAq9prTs/6fG2VuDOPPzYEd2IuMUfG7cRsG4z2/cdIiEhkdIliiVvs1T0LJVimWutuXL90n8u0nTq72Duxd4DTNsfpUuUfaikK3hWocQzpexu+yOttNYMG9ufhSt+ZPT73/Jmh/6G5Bg5/jSzf75E/Vq5WD7DcYcfp6vAlVKuwD7AE/ju3yttpVQA8LPWeuEjHtsL6AVQokSJ2mfPnk3bEViJ/3uj2H3wKLtXLyR7Nvv/kVaYhN+MMJV5YBDb9x4iMTGRMs8Ww8+3KX4+3pQvU5Ko6LuEhB37T1k/uP1RqECRh4q6omcVPEtVxD2L45/58CTfzviMb2Z8Rv8eHzC8/xeG5XCW4ceWWoHnAVYCA7TWR823fQh4AW11Ck9maytwgH1HgnnJfyAfD+pFbxl+7JCu37jJmg3bCAjczM79R0hMTCSTWxxx8ReAq0AU2bPluL/98cDHyvPlkTe4/23+shkM/7I/7f26883HMwx/87j3sBBWB4bj55uf6WMdc/ixxc5CUUqNAu5qrb9WSnUH+gAttNZRKT3WFgsc4I2+Qwj9+xw7Vs0nS2bHfjfb2V0Lv8mSVav5fv4CIm9rQOHqEkOdGmXp06Uzvt7NjY5o09ZsWEnvYR1p3uh5Zo1fhpsNDL92huHHaR5qrJTyMK+8UUplBXyAEKXU88BQ4KXUlLctG+Df0Tz8eJ3RUYSVeeTPywD/rgRv/It1P03Bz7c62bNlYef+c/R470tKNWjO633eJnDrJqOj2pwd+4Lo/1E3alapy/SxP9lEeYNp+HG9mqaTED6beMbYMBksNWehVAPmAa6YCn+p1nq0UioU06mFSRuGO7XWfZ70XLa6Ak8afnwjIpKg5bNl1qMTOnoimClzZrF55yFu3wFQZMkcj1d1T/p06ULzRt5GRzTUsZOHaPd2CwoXfIaVMzeRN3c+oyM9xNGHH8sHeVKQNPx46ufDePV5+THamR0JOcaU2bMJ2nWY23dNRZAlczx1a5SlT9cuNGvQxOCEGeufi2d4yd8bVzc3fpu1maKFbXOwcNLw4yF9SzDwTdvMmFZS4ClIGn6slGLd4ulOczqYeLJDx48yZc5stuw6zJ0o098J9yzx1K1Rjr7duuJdz7EvphR+8xqvvNmMGxHXWfHjBsqXqWx0pMdy5OHHad4DdxYuLi7069GekLAzBG7ZlfIDhFOoXqkKM8d/y4mgQALmfk2rZpVwdXUhaNdpOvb7lDKNmtOpf1+27t5hdFSLuxt1h24DX+bilX+YO+FXmy5vMA0/zpbVVGk//XrF4DQZQ1bgD4iPT6Bx2x4UyJeXgDmTHOpfcGFZ+w4fZOrcOWzbc4y70abSyOoeT/2aFfhf9+409KpncML0iY2Lpce7r7J1zwZmjv+Flt5tjI6UKmfOR9Polf2AY11qVlbgqeDm5sr/urXnwNEQtu87ZHQcYcNqV6vBnG8ncXJLIL/NHodvE9MAio07Qnm9z0g8G7eg68B+7Nq/x+ioTy0xMZHBo99m8851fDVimt2UN0DJYvc/jPfHxvAn3NMxyAr8X2LuxdLgpW6UL/MsS2T4sXhKuw7s5ft589i+7zhR0aazmbK5J9DQqxL9/f2pU936V+pLr9ETh/LDwgkM6/cZA/yfeHkjm3T0xB1adTYtwBxlFS4r8FRyz5KZ3l3asWX3AQ4cDTE6jrAz9Wp6MW/iFE5tWc/yGV/QvFE5NBC49QSvvDmMsk1a0P3dd9h3+IDRUR9p+oJv+WHhBHq270f/HkOMjpMmD45Z27HvloFJrE9W4I+QNPy4fq2qzPr6E6PjCAewfe8uvp8/n537Q4iOMa3Ms2dNpFGdygzw70mtqtUNTgi/rF7AoE/exM/3Nb7/YqFdn4m1fe8tXu/jOMOP5TTCp5Q0/HjDzzMoX6ak0XGEA9m6ZyfTzGUec8/0acbs2RJpXLcK7f1epaW3d4a+gR5zL4YZiyYy7vuPaVy3OfMn/mbxQcRGSBq79tdPNahcLrvBadJHCvwp3R9+3Igpn9nfPqCwD0G7tjNt/gJ2HzyRXOYe+RLo7/8KL7ZoS5GCRS32WomJifxz8cxDczdDQo8SeuZE8n1CNl23yiBiI6zZEM7bQxxj+LEUeBp8OuEHZi1ZKcOPRYZYt2UTPd4dQ+bMCcTGbgGgbo1G+Pm8RusWr1LY45lUP9eNiOsPlXRw6FFOhB0jKvpu8n2eLVqaCp6m+Zu3IiNo27oTtava9+mP/+Yow4+lwNPg0tXrNHy5uww/Fhlm5uKVjPpmGlM+G8S5CwdZHbiM4NCjKKUeKvNCBUwLiph7MZz6O5jg0COEhN6/tvmV65eSnzNv7vz3r2detioVPKtQvnQlsmfL8bgYDmPB8ssMGxtGzuyuhNjx8GMp8DQa8sVElv2+jh2rZPixsL6o6Gjq+XWjRuXyLJj0OQChZ0IICFzO6nXLCAk7hlKKmlXqEnk7gtPnTpGYmAiAexZ3ypaq+J9JQQXzF3baD6U5yvBjKfA0OnP+Ik3a9qR353Z8NPBto+MIJzBp1k98NW0uaxdNo0r5Mg997+Tp46wOXM6mnevwyFfwgbKuSqninri6ypU0/23izH8YP/0cpUu4s8VOhx9LgadD/4/G8lfQTnYFLJDhx8Lqbt2+Q902XXiuYR2mj/3Q6Dh2zxGGH8sHedKhX48O3I2KZu7SVUZHEU4gd84c9Hjdj9WBQYSdPW90HLvn4qLwf8P0nkHP94INTmNZUuCpUNGzFC29GzBzyUruRkUbHUc4gbc6tiVL5kxMm7/U6CgOYdR7JQHYsT+S6JgEY8NYkBR4KvX370DErdssXPG70VGEE/DIn5cOLz3Pst8DuXD5qtFx7F4mNxdaNzedhPDep6EGp7EcKfBUql21Ig29qvPDwmXci401Oo5wAn27vY7Wmh8WLTc6ikOYPLosAKvWXScuPtHgNJYhBf4UZPixyEjFihTi1Reas2jFGsJvRhgdx+5ldXelTvWcgOMMP5YCfwpN6takRqXyTJv/C/HxjrOPJmxXv+7tuRcby8zFK42O4hDmTawEwKwll0hMzLgz8KxFCvwpKKUY0LMDZ85fZHVgkNFxhBMoW6oELzzXiLlLV3H7zt2UHyCeKHdON0qaP1L/3bwLBqdJPynwp9TSuwHlSj/LlDmLkz8BJ4Q1DfDvQOSdu8xfttroKA5h5cyqAHz53Vky8nMw1iAF/pRcXFzonzT8eKsMPxbWV61iOZo18GLGT8uJjrlndBy7V7DA/eHHi3+z7+HHUuBp8HLL5yj+TCEmz15s9/+CC/swwL8D129E8POqtUZHcQjrFtcA4IPPw4wNkk5S4Gng5uZK325vyPBjkWHq1ayKV7VKfD9/KXHx8UbHsXsPDj/+c5P9Dj+WAk+j9n6t8MiflymzFxsdRTgB0xvoHblw+Sor/9xgdByHsHahaYzdm+/b7+zbFAtcKeWulNqtlDqklDqmlPrUfHs+pdQ6pdQp83/zWj+u7XDPkpnenU3Djw8eO5HyA4RIpxaN6lKxbGmmzllCQoKcxppeVSrcvx76zv32Ofw4NSvwe0BzrXV1oAbwvFKqPjAMWK+1LgusN//eqXRt14bcOXMwde4So6MIJ6CUYoB/B8LOnufPTduNjuMQlk6vDEC7XkcNTpI2KRa4Nrlj/m0m8y8NvAzMM98+D3jFGgFtWY7s2ejZ4RX+2LiNk6fPGh1HOIE2LZpQsvgzTJ27RN5At4BGXnmSvz5+yv7Os0/VHrhSylUpdRC4CqzTWu8CCmmtLwGY/1vwMY/tpZTaq5Tae+3aNQvFth09279CtqzuTJ37s9FRhBNwdXWlf/f2HA4+RdCufUbHcQgzxpUHwLfjQWODpEGqClxrnaC1rgEUA+oqpaqk9gW01jO01l5aay8PD480xrRd+fLkokvbF/l17QbOXbiU8gOESKdqlcoB8Pv6LQYncQwvtiiQ/PW5CzEGJnl6T3UWitY6AtgEPA9cUUoVATD/12mvedmrcztcXVyZtuAXo6MIB3fxyjV6vPsxHvnz0q97B6PjOIyxw0oD0KrzQWODPKXUnIXioZTKY/46K+ADhACrgO7mu3UHfrNSRptXpGABXm/jw8+r1nLluv2eUyps281bkXQeMILIO3dZOOkLni1WxOhIDqNru8IARN5J4Fq4/VwuOjUr8CLARqXUYWAPpj3w1cCXgK9S6hTga/690+rb7Q3i4hP4cdEKo6MIBxQdcw//90Zx5p+LzPp6FFUqeBodyaEopXi/d3HAvs5ISc1ZKIe11jW11tW01lW01qPNt4drrVtorcua/3vD+nFtV6niRXnJtynzl68mIvK20XGEA4mPT+B/I8aw9/BxJn82lMZ1ahodySG909NU4GFno4m8Yx+fdpVPYlpQvx7tuRsVzZylTrubJCxMa82wsZP4K2gHn3/QDz8fb6MjOSxXV0X3101bKT0H28fwYylwC6pUtjS+Teozc7EMPxaW8dW0uSz+7U8GvtmJHm+8ZHQch/fp4FIA7NgXScw9279ctBS4hQ3o2ZGIW7dZtHKN0VGEnZu95Fcmz15Mp1de4IM+3VN+gEi3B4cfDx59yuA0KZMCtzAZfiwsYdW6zXz8zTRaNW3A2GHvoJQyOpLTSBp+/Ota2x9+LAVuBQP8O3L5WjjLfg80OoqwQ1t2H+CdkeOoU70y330xAjc3V6MjOZWs7q7UrmYafvz5pDPGhkmBFLgVNKlbk+qVyvH9vKUy/Fg8laMhobz1waeULlGUOd9+Slb3LEZHckoLJpmGH89cbNvDj6XArSDpqnEy/Fg8jTPnL9Jl4IfkzpmDRVPHkidXTqMjOa3cOd0oUdT0j+d7o0MNTvN4UuBW0qppQ8qWKiFXjROpci38Jp37jyAuPp6fpo6hSMECKT9IWNWvs6oB8Mtq271KiBS4lZiGH3cgOPRvGX4snuj2nbt0eedDLl8LZ/7Ez/EsWcLoSAIoVCAz65fUYO8aL6OjPJYUuBW93KqZDD8WT3QvNpa3howmOPQ0M8aNpHbVikZHEg+o4JmdIgVt930IKXAryuTmRt9ub7D/SDA79h02Oo6wMYmJiQwaNZ6tuw/wzcjBtGhc1+hIws5IgVtZ8vDjOTL8WNyntWbUN9NYtW4zHw54i9fb+BodSVhBdEycVc9icbPaMwvg/vDjzyfP5OCxE9SoXN7oSMIGTJ27hNk//8bbndrSt9vrRscR6RQXn8DpszcICb1KcOg1QkKvcfTkZS5dMV3Y7rmGpZk5/jXcs1i2cqXAM0DXdm2YMmcJU+cuYeb4UUbHEQb7edVavvxuDq8+/xwfD+oln7K0I1prLl29TUjoteSyDg69SvCpJ5+psnH7aS5djaRU8XwWzSMFngFyZM+Gf/uXmThzESdPn6Vc6WeNjiQM8lfQDj74YgJN69fm21Hv4+Iiu5i26vade4SEXSP41FVCwq4SEnqNfYcvEJ/w5I/X582dleqVilDB04OKngWp4FkQz5L5Lb76BlAZeXaEl5eX3rt3b4a9ni25EXGLum268GKLJkz6dIjRcYQB9hw6Rof/DaV8mZIsnfYVObJnMzqSwLT9EXYmnJDQawSHmVbWR09c4fLVlK/rX7taUSqUSSpqDyp4FiRv7qwWz6iU2qe1/s/5jLICzyD58uSmS9sXmf3zr7zfuxvFnylsdCSRgU6EnaHHux9TpJAH8yd+JuVtAK01F6/cJiTUtJoOCTNvgaSw/QFQtlT+5NV0RXNRFyuSGxcXY7e/pMAzUO8urzF36SqmLfiFMUMHGB1HZJALl6/S+Z0RZM6UiZ+mjKFAvrxGR3J4kXdiOBF6zfSGYphpj3rv4QspnhGSP282qlUsTIUyBalY1rSq9iyZnyyZbbMqbTOVgypSsABv+Pmy5Lc/GfRmZwoWsOwbGsL2JA0ivnMniuU/fkOJojKI2JIe2v4wv6l47MRlLl+7k+JjvaoVM+9Tm1bU5ct4WGX7w5qkwDNY325vsPi3tfz40wo+fOcto+MIK4qOiaH7ux9z9vwlFk0ZQ+VyZYyOZLdM2x+R5lP0rj50FkhKypUu8NAedUVPD4oVye0QZ/9IgWewpOHH85YF0K9He7ninIOKj0+gz/Av2H8kmB++/IiGXtWNjmQ3Iu/EJK+ok4p6z6HzpHS+RYF82ahWocj9oi5bkDLP5rPZ7Q9LcNwjs2H9erTn17UbmbP0N959q4vRcYSFaa0Z8sVEArfsYsywAbzYoonRkWxSbFwCYWfDk0v6+KmrHA25zNXwuyk+1qtaMSqWvb+iLl/Ggzy57Gv7wxKkwA1QqWxpfJrUY9biX+nduR3ZsjrfXzxH9uX3c/g5YC3vvt2F7q/5GR3HcEnbH8dP3V9Rm84CSXn7o3zpAuY3Ewsmn1ddtHAuh9j+sAQpcIMM8O/Iyz0HsWjlH7zdqa3RcYSFzFqykqlzltD51dYM7tXV6DgZ7tbtmAc+Tm4q6j2Hzqf4uIL5s1OlQuGH9qo9S+YncyYZJ/ckUuAG8apWiQa1qzN94TK6vdaGLJkzGx1JpNNvazcy6pvpvPBcI8YOG+DQq8TYuARCz4Qnl3Rw6FWOhFzmWiq2P+pUL5Zc0pXKms7+yJ3TPQNSO54UC1wpVRyYDxQGEoEZWutJSqkawHTAHYgH/qe13m3FrA7nHf8OdOw/nOVr1tPplReMjiPSIWjXfgaOGk/dGpWZ+vlwXF0dY+WotebC5cjkNxSDT10lOPQqJ09fT/GxFcp4JJ9LnbRX/Uwh2f6wpNSswOOBwVrr/UqpnMA+pdQ64CvgU631H0qp1ubfN7NeVMfTpF4tqlcqx3dzf+aNNi1l+ridOhx8krc++BTPksWZ8+1o3LPY509TEZHRD52eFxJ6jb2HU97+KFQgh3n7wyN5r7rMs7L9kRFSLHCt9SXgkvnr20qpYKAooIFc5rvlBi5aK6SjShp+/NYHo/l9fRAvt3rO6EjiKf39zwW6DvyIvLlzsXDKGHLnzGF0pBTdi403b3/c36c+HHKJ6zeinvg4pZK2P+6/oSjbH8Z6qotZKaVKAkFAFUwlvhZQmAZDNNRan33EY3oBvQBKlChR++zZ/9zFqSUmJtK8fS/cXF1Zt3i6/HhpR65ev8Erb75L5J27/DprAp4lixsd6SFaa85fuvXQG4rHT13h1N/hKT62YvK2x/0tkGcK5ZS/nwZJ98WslFI5gOXAIK11pFLqc+BdrfVypdQbwCzA59+P01rPAGaA6WqEaT0AR+Xi4kK/7u0Z9Ml4ArfuwrdJfaMjiVRIGkR8NfwGS6d/ZXh5P7j9cfzUVULCTJc+TUlhD9P2RwXPglQs42Ha/iiZn0yynWcXUrUCV0plAlYDa7XW35pvuwXk0VprZfpn+ZbWOteTnseZLyf7JHHx8TR+1Z9CHvn5bdYEWeXYuHuxsXQd+BG79h9h7oTRPNewTga+tmn7I/jU/SvqHQ6+TPjNJ29/uLqq5Gt/VChj/vCLpwe5csj2hz1I8wrcXM6zgOCk8ja7CDQFNgHNgVOWiep8TMOPX+fDcVPZuf8IDWpXMzqSeIyEhATe+fgrtu05yKRPh1itvBMTTdsfD55THRx6NXXbH2XNlzx94Ip6RQrK9ocjSs0WSiOgK3BEKXXQfNsI4G1gklLKDYjBvM8t0qa9XysmzlzElDmLpcBtlNaaj7+exurAIEYOfJvXXvzPjmGa3LwV/dD51Kne/iiYk6rlCz90Rb3Sz+aT7Q8nkpqzULZieqPyUWpbNo7zyuqehV6d2vHFlJkcOn6S6pXKGR1J/Mvk2YuZ+8sqend5jT5dn34Q8b3YeE79HZ68mg4Jvcbh4EvciIh+4uPcXF3wql6UCmXuv6FYoYwHOXNkSeuhCAchn8S0IV3bvcjUuUuYOmcJP47/2Og44gE//foHX02bS9sXWvBRCpcBTkzU/HMx4qEVdfCpq4SeSXn7o1K5gsl71ElX1CvskUO2P8QjSYHbkJw5ssvwYxv01+YdDB0ziWYNvPh21OCHBhHfiIi6fz51mGkCzP4jKW9/FCmUkyrlCj90Rb1SJWT7QzwdGWpsY2T4sW3ZffAoHfsNo1ypUox+/33OnI9MnlB+8PglIm49efsjcyZXalcten/rw9ODCmU8yJFdtj9E6slQYzuRL09uOr/amjlLf5Phxwb7a/Mheg2dD3hxOCQzr7y16In3r1yuUPInFJMKW7Y/hDVJgdug3l1eY94vAUxfsIwvhvY3Oo5TWrB8F8PGrgfy/+d7RQvnSi7rpCvqlSqeDzc3l/8+kRBWJAVug54p5MHrbXxZ/NsfDHyzkww/zmA3IiL5fPKvQE5y5sjM6y9WSy7r8qULyPaHsBlS4Daqb7c3WLJqLTMXr2TEgDeNjuM0oqKj6f7uSGJjQ5k3YTQ+TeRMWWG75Gc+G1W6RFH8fLyZtyyAiMjbRsdxCnHx8fQZPoaDx07w3RfDpbyFzZMCt2H9/Ttw524Uc5euMjqKw9Na88HnE1i/dRdjhvandfPGRkcSIkVS4DYsafjxzMUriYp+8ulqIn3GTp3NL6vXMbhXV7q2a2N0HCFSRQrcxg3w78jNW5EsWvmH0VEc1o8/reC7eT/TtV0b3n27i9FxhEg1KXAb51WtEg1qVWP6wmXci401Oo7D+fXPjXzy7XRaP9eYL4b0k3O2hV2RArcDA3p24PLV66xYs97oKA5l8869DPpkPA1qVWPK58McZhCxcB5S4HbAu15tqlUsy9R5P5OQkGB0HIdw6PhJ3vpgNJ6lSjDrm0/sdhCxcG5S4HbANPy4I2f+ucjq9VuMjmP3Tp+7QNeBH5I/b24WTv7CLgYRC/EoUuB24vlmDfEsWZwpc5aQkRcgczRXrofTecBwtIZFU8ZS2OO/H5UXwl5IgdsJFxcX+vfoQPCp06zfttvoOHYp0jyI+PqNCOZP/IwyzxYzOpIQ6SIFbkdeef45ihUpxOTZi2UV/pRi7sXSc/AnnAw7y49ffUzNKhWMjiREukmB25Gk4cf7Dh9n5/4jRsexG6ZBxOPYse8QEz55n2YN/nNZZSHskhS4nWnv14oC+fIwZc5io6PYBa01I7/+nt/Xb+HjQb1o+0ILoyMJYTFS4HYmafjx5p37OBx80ug4Nm/irEXM+yWAvl1fp3eX14yOI4RFSYHboW6vtSFXjuxMmbPE6Cg2bdHKNXw9fT6vvegjl+QVDkkK3A4lDT/+Y+M2Tv19zug4NunPTdsYNnYyzRvW4euR7z00iFgIRyF/q+3UWx1fxT1LZr6b97PRUWzOzv2H+d+IMVSvWJYfxn1EJjeZWyIckxS4nUoafrzij/X8c/Gy0XFsRnDo3/i/N4piRQoxf9LnZMua1ehIQliNFLgd693lNVyUC9MXLDM6ik04f+kKXQaMIFtWd36aOpZ8eXIbHUkIq0qxwJVSxZVSG5VSwUqpY0qpgQ98b4BS6oT59q+sG1X8W9Lw4yWr/uRa+E2j4xjqRsQtOvUfTlR0DAunjKFYkUJGRxLC6lKzAo8HBmutKwL1gX5KqUpKqeeAl4FqWuvKwNdWzCkeo2+3N4iNi2fm4hVGRzFMVHQ03QZ+xPlLV5g7YTQVPUsZHUmIDJFigWutL2mt95u/vg0EA0WBvsCXWut75u9dtWZQ8WilSxSlTYsmzP0lgFu37xgdJ8PFxcfTe+jnHAo+xfdjRlCvZlWjIwmRYZ5qD1wpVRKoCewCygFNlFK7lFKblVJ1HvOYXkqpvUqpvdeuXUt3YPFfzjr8ODExkcGjv2XD9j18Ofwdnm/WyOhIQmSoVBe4UioHsBwYpLWOBNyAvJi2VT4AlqpHzKPSWs/QWntprb08PDwsFFs8qHK5MrRo7HzDj8dMmcXyNYG836cbnV9tbXQcITJcqgpcKZUJU3kv0lonbbaeB1Zok91AIlDAOjFFSgb4d+BGxC1++vVPo6NkiB8WLmPagl/o/rofg97sbHQcIQyRmrNQFDALCNZaf/vAt34FmpvvUw7IDFy3QkaRCnWqV6ZBrWpMW/ALsXFxRsexqhV/rGf0xBm82KIJn73/PxlELJxWalbgjYCuQHOl1EHzr9bAbKC0UuoosAToruUi1YZKGn68/PdAo6NYzaYde3n3k69pULs6k0cPlUHEwqmpjOxcLy8vvXfv3gx7PWejtaZ1t/7cvhvF5l9mOly5HTx2gtf7fEDJ4s+wfMY35MqR3ehIQmQIpdQ+rfV/LmQvn8R0IEop+vfowN/nLvD7hq1Gx7GosLPn6TrwIwrky8PCyV9IeQuBFLjDeeG5Rubhx44zdu3ytXA69R+OUqZBxIUKyCBiIUAK3OG4uLjQr0d7jp88zYZte4yOk263bt+hyzsfciPiFgsmfUHpEkWNjiSEzZACd0CvPt+cooULMnn2T3a9CjcNIh5F6N/nmDV+FNUrlTM6khA2RQrcAWVyc+N/3d5g7+Hj7Dpgn8OPExISGPDRl+zcf4SJn3yAd/3aRkcSwuZIgTuo9i8lDT+2v7FrWmtGjJvKmo1b+eS9Przy/HNGRxLCJkmBO6ik4cebduy1u+HHE35cyMIVv9Ove3ve7tTW6DhC2CwpcAdmj8OPFyxfzTczFvB6G1+G9+9pdBwhbJoUuAPLmSM7Pd54iT82biP0jO0PP16zYSsjxk2leaO6jP/oXfmIvBApkAJ3cG91fJUsmTPz3bylRkd5oh37DtP/o7HUqFyeH778UAYRC5EKUuAOLn/ePHRu25oVa9Zz/tIVo+M80vFTp/F/72OKP1OYeRM+k0HEQqSSFLgT6N25HUopmxx+/M/Fy3QZMILs2bOZBxHnMjqSEHZDCtwJFC1ckNde9GHxb3/Y1PDj8JsRdOo/gph7sfw0ZQxFCxc0OpIQdkUK3En8r3t7mxp+fDcqmm4DR3LxylXmThhN+TIljY4khN2RAncStjT8OC4+nl5DP+NwyCmmjfmQujWqGJpHCHslBe5E+vUwfvhxYmIi7336DZt27GXciIG0bNrAsCxC2DspcCdSpXwZmjeqy8zFK4mOiTEkw+eTZ7Lij/UM6duDTq+8YEgGIRyFFLiTece/o3n48R8Z/trTF/zCDwuX4f/Gy7zTs2OGv74QjkYK3MnUqVGZ+rWqZvjw42W/B/LZpB/x823Kp4P7yKcshbAAKXAnNMC/I5euXGfFmvUZ8nobtu1m8OhvaFSnBpM+/cDhZnUKYRQpcCfUtH5tqlbwZOq8n0lISLDqa+0/GkyvoZ9RvkxJZo0fRZbMma36ekI4EylwJ6SUYoB/R6sPPw498w/dBo6kYP58LJz8BTllELEQFiUF7qSsPfz40tXrdOo/HFdXFxZNHUPBAvks/hpCODspcCfl4uLC/7qbhh9v3G7Z4ce3bt+hy4ARRETeZsGkzylVXAYRC2ENUuBOrO0LpuHHlhz4EB1zD//3Pibs7Hlmjh9FtYoyiFgIa0mxwJVSxZVSG5VSwUqpY0qpgf/6/vtKKa2UKmC9mMIaMrm50bfr6+w+eNQiw48TEhLo/9FYdh88xqTRQ/CuV8sCKYUQj5OaFXg8MFhrXRGoD/RTSlUCU7kDvoDtj3sRj9Th5efNw48Xp+t5tNYM/3IKf27azqeD+/Byy2aWCSiEeKwUC1xrfUlrvd/89W0gGEja1JwADAEs/y6YyBBZ3bPwdqe2bNy+lyMhp9L8PN/MWMCilWvo79+BNzu8asGEQojHeao9cKVUSaAmsEsp9RJwQWt9yBrBRMbp9ppfuoYfz1sWwIQfF9LhpVYM+5+/hdMJIR4n1QWulMoBLAcGYdpW+RD4OBWP66WU2quU2nvt2rW05hRWlMs8/HjNhq1PPfx4dWAQH46bik+TeowbMUg+Ii9EBkpVgSulMmEq70Va6xVAGaAUcEgpdQYoBuxXShX+92O11jO01l5aay8PDw/LJRcWlZbhx9v3HmLAyHHUqlqR6WM/xM1NPiIvREZKzVkoCpgFBGutvwXQWh/RWhfUWpfUWpcEzgO1tNaXrZpWWE3+vHno/OoLrFiznguXr6Z4/2Mnw+g5eBTPFivCvAmjyerungEphRAPSs0KvBHQFWiulDpo/tXayrmEAXp3eQ0wXfb1Sc5duESXAR+SI0c2Fk0ZQ97cMohYCCOk5iyUrVprpbWuprWuYf615l/3Kam1vm69mCIjJA0//unXP7h+49HDj6/fuEnH/sOJjYvjpyljZRCxEAaST2KKh/yve3vuxcbx4+KV//ne3ahoug0ayeWr4cydMJpypZ81IKEQIokUuHhImWeL0cbHm3lLVz00/Dg2Lo63h4zm6IlQpo0dQZ3qlQ1MKYQAKXDxCP17dOD23Sjm/RIAJA0i/prNO/cx/sN3aektg4iFsAVS4OI/koYf//jTCqJjYvh0wg+s/HMjw/r50/6lVkbHE0KYSYGLR0oaftzhf8OYuXglb3Z4hf49OhgdSwjxAClw8Uh1alSmXs0q7D18nJd8m/LJezKIWAhb42Z0AGG7xgwdwG9/bWLQW51xcZF/64WwNVLg4rEqeJaigmcpo2MIIR5DllVCCGGnpMCFEMJOSYELIYSdkgIXQgg7JQUuhBB2SgpcCCHslBS4EELYKSlwIYSwU0prnXEvptQ14KwFnqoA4MgDJBz9+ECO0VHIMWaMZ7XW/xkqnKEFbilKqb1aay+jc1iLox8fyDE6CjlGY8kWihBC2CkpcCGEsFP2WuAzjA5gZY5+fCDH6CjkGA1kl3vgQggh7HcFLoQQTk8KXAgh7JTdFLhSqrpSaodS6ohSKkApletf3y+hlLqjlHrfqIzp9bhjVEr5KqX2mW/fp5RqbnTWtHrSn6NSarhSKlQpdUIpZbfTk5VSNZRSO5VSB5VSe5VSdc23Z1JKzTMfe7BSarjRWdPqccdo/l4185/xMfOxuhuZNS2edHzm79tG32it7eIXsAdoav66J/DZv76/HPgFeN/orJY+RqAm8Iz56yrABaOzWuEYKwGHgCxAKSAMcDU6bxqP8S/gBfPXrYFN5q87AUvMX2cDzgAljc5r4WN0Aw4D1c2/z2+Pf46PO74Hvm8TfWM3K3CgPBBk/nod0C7pG0qpV4DTwLGMj2VRjzxGrfUBrfVF8+3HAHelVBYD8lnC4/4cX8ZUbve01n8DoUDdRzzeHmgg6SeL3MDFB27PrpRyA7ICsUBkxseziMcdY0vgsNb6EIDWOlxrnWBAvvR63PHZVN/YU4EfBV4yf/06UBxAKZUdGAp8alAuS3rkMf5LO+CA1vpehqWyrMcdY1Hgnwfud958mz0aBIxXSv0DfA0kbZUsA+4Cl4BzwNda6xuGJEy/QTz6GMsBWim1Vim1Xyk1xKiA6TSIRxyfrfWNTQ01VkoFAoUf8a0PMf24PVkp9TGwCtPqBUz/Q07QWt9RSmVM0HRI4zEmPbYyMA7TKsdmpfEYH/WHZ7PnuKZwjC2Ad7XWy5VSbwCzAB9MP1EkAM8AeYEtSqlArfXpDIr9VNJ4jG5AY6AOEAWsV0rt01qvz6DYqZbG47OtvjF6rymN+1PlgN3mr7dg2ks8A0QAN4D+Rme05DGaf18MOAk0Mjqblf4chwPDH/jeWqCB0RnTeFy3uP8ZCwVEmr/+Duj6wP1mA28YndfCx9gBmPvA/UYCHxid14LHZ1N9YzdbKEqpgub/ugAfAdMBtNZNtNYltdYlgYnAGK31VKNypsfjjlEplQf4HVPBbTMsoAU87hgxrcY7KKWyKKVKAWWB3cakTLeLQFPz182BU+avzwHNlUl2oD4QYkA+S3jcMa4Fqimlspn3+psCxw3Il16PPD5b6xub2kJJQUelVD/z1yuAOUaGsZLHHWN/wBMYqZQaab6tpdb6akYHtIBHHqPW+phSaimm/7PHA/20fb75BfA2MMlcYDFAL/Pt32E63qOYVnVztNaHjYmYbo88Rq31TaXUt5jONtLAGq3178bFTLPH/RnaFPkovRBC2Cm72UIRQgjxMClwIYSwU1LgQghhp6TAhRDCTkmBCyGEnZICF0IIOyUFLoQQdur/Iuq4kvGlwSUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 474 with population 754506.159177646\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.46147 2.94586 7121.9192 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 8.41742 10.28969 50829.4824 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 3.8125 3.83958 250836.7936 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.1033 3.11245 445717.964 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 474, giving up w pop 754506.159177646\n",
      "loop no 9.0 for tract no 475 with population 722417.8354459155\n",
      "loop no 10.0 for tract no 475 with population 862421.5873562088\n",
      "loop no 11.0 for tract no 475 with population 777167.3888066402\n",
      "loop no 12.0 for tract no 475 with population 774405.0116038802\n",
      "loop no 9.0 for tract no 479 with population 740465.9389337908\n",
      "loop no 10.0 for tract no 479 with population 775716.1660552992\n",
      "I am working on tract number 480 of 5160 tracts\n",
      "loop no 9.0 for tract no 480 with population 1036127.6349741865\n",
      "loop no 10.0 for tract no 480 with population 894435.5399670284\n",
      "loop no 11.0 for tract no 480 with population 678336.660502368\n",
      "loop no 12.0 for tract no 480 with population 691073.5139864028\n",
      "loop no 13.0 for tract no 480 with population 894783.0003487282\n",
      "loop no 14.0 for tract no 480 with population 870456.333540065\n",
      "loop no 15.0 for tract no 480 with population 818248.0267281485\n",
      "loop no 16.0 for tract no 480 with population 789793.404629792\n",
      "loop no 17.0 for tract no 480 with population 779091.7159572843\n",
      "loop no 18.0 for tract no 480 with population 775038.3247700108\n",
      "loop no 9.0 for tract no 488 with population 766257.0981833762\n",
      "loop no 9.0 for tract no 491 with population 768902.0346859947\n",
      "loop no 9.0 for tract no 492 with population 767612.6180993528\n",
      "loop no 9.0 for tract no 495 with population 976198.6011365319\n",
      "loop no 10.0 for tract no 495 with population 747653.71872003\n",
      "loop no 11.0 for tract no 495 with population 521614.76408492913\n",
      "loop no 12.0 for tract no 495 with population 522094.82022394915\n",
      "loop no 13.0 for tract no 495 with population 872005.3394154574\n",
      "loop no 14.0 for tract no 495 with population 846128.7695903602\n",
      "loop no 15.0 for tract no 495 with population 810954.8294702052\n",
      "loop no 16.0 for tract no 495 with population 792283.3127921352\n",
      "loop no 17.0 for tract no 495 with population 781319.4055163994\n",
      "loop no 18.0 for tract no 495 with population 776344.9177212958\n",
      "loop no 9.0 for tract no 497 with population 745125.4870505887\n",
      "loop no 10.0 for tract no 497 with population 765205.1217336515\n",
      "loop no 9.0 for tract no 498 with population 754970.7698214657\n",
      "loop no 10.0 for tract no 498 with population 764813.8137967743\n",
      "I am working on tract number 500 of 5160 tracts\n",
      "loop no 9.0 for tract no 502 with population 764662.5406576915\n",
      "loop no 9.0 for tract no 503 with population 747934.8398837917\n",
      "loop no 10.0 for tract no 503 with population 753160.877822485\n",
      "loop no 11.0 for tract no 503 with population 765435.2028796354\n",
      "loop no 9.0 for tract no 505 with population 777165.3818037475\n",
      "loop no 10.0 for tract no 505 with population 769127.7545682644\n",
      "loop no 9.0 for tract no 513 with population 597428.9880427918\n",
      "loop no 10.0 for tract no 513 with population 658163.6271224627\n",
      "loop no 11.0 for tract no 513 with population 847764.1598994551\n",
      "loop no 12.0 for tract no 513 with population 847844.8986423877\n",
      "loop no 13.0 for tract no 513 with population 660745.9094378822\n",
      "loop no 14.0 for tract no 513 with population 761728.1259018308\n",
      "loop no 9.0 for tract no 515 with population 768969.2515442926\n",
      "I am working on tract number 520 of 5160 tracts\n",
      "loop no 9.0 for tract no 520 with population 603247.9093200045\n",
      "loop no 10.0 for tract no 520 with population 658614.6799311492\n",
      "loop no 11.0 for tract no 520 with population 860821.6261849605\n",
      "loop no 12.0 for tract no 520 with population 860748.6326002787\n",
      "loop no 13.0 for tract no 520 with population 663618.8930938132\n",
      "loop no 14.0 for tract no 520 with population 780889.5187411964\n",
      "loop no 15.0 for tract no 520 with population 775875.202690523\n",
      "loop no 9.0 for tract no 521 with population 595108.6097762174\n",
      "loop no 10.0 for tract no 521 with population 760769.9221010256\n",
      "loop no 11.0 for tract no 521 with population 777128.4264849178\n",
      "loop no 12.0 for tract no 521 with population 772689.3585966843\n",
      "loop no 9.0 for tract no 535 with population 765011.8650984126\n",
      "loop no 9.0 for tract no 536 with population 756326.9611235191\n",
      "loop no 10.0 for tract no 536 with population 763387.0657114228\n",
      "loop no 9.0 for tract no 538 with population 763811.3840059123\n",
      "I am working on tract number 540 of 5160 tracts\n",
      "I am working on tract number 560 of 5160 tracts\n",
      "I am working on tract number 580 of 5160 tracts\n",
      "loop no 9.0 for tract no 581 with population 766991.7706672258\n",
      "loop no 9.0 for tract no 596 with population 756976.674036336\n",
      "loop no 10.0 for tract no 596 with population 766668.654631885\n",
      "I am working on tract number 600 of 5160 tracts\n",
      "loop no 9.0 for tract no 602 with population 758498.0118210948\n",
      "loop no 10.0 for tract no 602 with population 764210.9969766893\n",
      "loop no 9.0 for tract no 605 with population 770163.6578887862\n",
      "loop no 9.0 for tract no 606 with population 776078.3184924312\n",
      "I am working on tract number 620 of 5160 tracts\n",
      "loop no 9.0 for tract no 628 with population 755045.3244331435\n",
      "loop no 10.0 for tract no 628 with population 760371.6832930781\n",
      "loop no 11.0 for tract no 628 with population 761360.2544654689\n",
      "loop no 12.0 for tract no 628 with population 762051.5984057825\n",
      "I am working on tract number 640 of 5160 tracts\n",
      "loop no 9.0 for tract no 647 with population 756789.3830622092\n",
      "loop no 10.0 for tract no 647 with population 761936.8728045386\n",
      "loop no 9.0 for tract no 651 with population 777874.4921718631\n",
      "loop no 10.0 for tract no 651 with population 771932.5138701568\n",
      "loop no 9.0 for tract no 653 with population 694233.2839737863\n",
      "loop no 10.0 for tract no 653 with population 936010.2999858678\n",
      "loop no 11.0 for tract no 653 with population 897114.4712886546\n",
      "loop no 12.0 for tract no 653 with population 696191.0242269553\n",
      "loop no 13.0 for tract no 653 with population 703851.0316810013\n",
      "loop no 14.0 for tract no 653 with population 887047.6073750838\n",
      "loop no 15.0 for tract no 653 with population 827970.1291145885\n",
      "loop no 16.0 for tract no 653 with population 799840.1294186745\n",
      "loop no 17.0 for tract no 653 with population 783957.5583152985\n",
      "loop no 18.0 for tract no 653 with population 777783.9171539793\n",
      "loop no 19.0 for tract no 653 with population 774365.3316708154\n",
      "I am working on tract number 660 of 5160 tracts\n",
      "loop no 9.0 for tract no 660 with population 1063077.954175394\n",
      "loop no 10.0 for tract no 660 with population 777146.7851358755\n",
      "loop no 11.0 for tract no 660 with population 775108.1916047984\n",
      "I am working on tract number 680 of 5160 tracts\n",
      "loop no 9.0 for tract no 682 with population 767250.3212072379\n",
      "loop no 9.0 for tract no 684 with population 792598.4271719627\n",
      "loop no 10.0 for tract no 684 with population 562754.5723051723\n",
      "loop no 11.0 for tract no 684 with population 716931.2397160147\n",
      "loop no 12.0 for tract no 684 with population 749177.2404631224\n",
      "loop no 13.0 for tract no 684 with population 757524.9746238792\n",
      "loop no 14.0 for tract no 684 with population 762504.5276442183\n",
      "loop no 9.0 for tract no 697 with population 836257.2920670111\n",
      "loop no 10.0 for tract no 697 with population 705833.1368779271\n",
      "loop no 11.0 for tract no 697 with population 761950.7243133532\n",
      "I am working on tract number 700 of 5160 tracts\n",
      "loop no 9.0 for tract no 701 with population 1007633.1239311425\n",
      "loop no 10.0 for tract no 701 with population 736291.1950756353\n",
      "loop no 11.0 for tract no 701 with population 741014.2733647819\n",
      "loop no 12.0 for tract no 701 with population 806929.7751935984\n",
      "loop no 13.0 for tract no 701 with population 767342.4314168738\n",
      "loop no 9.0 for tract no 702 with population 709323.7913175793\n",
      "loop no 10.0 for tract no 702 with population 718827.8358145942\n",
      "loop no 11.0 for tract no 702 with population 915796.3235512518\n",
      "loop no 12.0 for tract no 702 with population 793130.9086954277\n",
      "loop no 13.0 for tract no 702 with population 782126.3667837789\n",
      "loop no 14.0 for tract no 702 with population 776493.9636878907\n",
      "loop no 9.0 for tract no 703 with population 746840.5366020354\n",
      "loop no 10.0 for tract no 703 with population 754644.8224731818\n",
      "loop no 11.0 for tract no 703 with population 770220.6428246049\n",
      "loop no 9.0 for tract no 705 with population 590377.1241175545\n",
      "loop no 10.0 for tract no 705 with population 598249.999978779\n",
      "loop no 11.0 for tract no 705 with population 1222214.6637322702\n",
      "loop no 12.0 for tract no 705 with population 989160.8136957657\n",
      "loop no 13.0 for tract no 705 with population 940250.4236907103\n",
      "loop no 14.0 for tract no 705 with population 896964.8049000497\n",
      "loop no 15.0 for tract no 705 with population 840336.7706161914\n",
      "loop no 16.0 for tract no 705 with population 812250.0619981147\n",
      "loop no 17.0 for tract no 705 with population 796298.9708635499\n",
      "loop no 18.0 for tract no 705 with population 785304.6278290853\n",
      "loop no 19.0 for tract no 705 with population 779036.5098195763\n",
      "loop no 20.0 for tract no 705 with population 775057.7849519659\n",
      "I am working on tract number 720 of 5160 tracts\n",
      "loop no 9.0 for tract no 724 with population 766657.709302516\n",
      "loop no 9.0 for tract no 725 with population 770754.7669308865\n",
      "loop no 9.0 for tract no 727 with population 795599.434139672\n",
      "loop no 10.0 for tract no 727 with population 773469.511083557\n",
      "loop no 9.0 for tract no 730 with population 765624.7510847885\n",
      "I am working on tract number 740 of 5160 tracts\n",
      "loop no 9.0 for tract no 745 with population 767643.406985022\n",
      "loop no 9.0 for tract no 756 with population 774246.625129277\n",
      "loop no 9.0 for tract no 759 with population 623974.3619291451\n",
      "loop no 10.0 for tract no 759 with population 1209716.7127582254\n",
      "loop no 11.0 for tract no 759 with population 1084884.534249422\n",
      "loop no 12.0 for tract no 759 with population 650496.9625694533\n",
      "loop no 13.0 for tract no 759 with population 678635.7981981719\n",
      "loop no 14.0 for tract no 759 with population 764515.3598239315\n",
      "I am working on tract number 760 of 5160 tracts\n",
      "loop no 9.0 for tract no 760 with population 770241.2188039541\n",
      "loop no 9.0 for tract no 764 with population 890373.0008407887\n",
      "loop no 10.0 for tract no 764 with population 644292.0970688164\n",
      "loop no 11.0 for tract no 764 with population 662928.1135616339\n",
      "loop no 12.0 for tract no 764 with population 890437.3576839628\n",
      "loop no 13.0 for tract no 764 with population 890438.7576926345\n",
      "loop no 14.0 for tract no 764 with population 772966.2709155538\n",
      "loop no 9.0 for tract no 767 with population 761030.9924009128\n",
      "loop no 10.0 for tract no 767 with population 763344.8721558157\n",
      "I am working on tract number 780 of 5160 tracts\n",
      "loop no 9.0 for tract no 781 with population 784164.1479995778\n",
      "loop no 10.0 for tract no 781 with population 771354.8002776831\n",
      "loop no 9.0 for tract no 782 with population 763240.9173123266\n",
      "loop no 9.0 for tract no 783 with population 768638.2957128321\n",
      "loop no 9.0 for tract no 786 with population 732668.7024102905\n",
      "loop no 10.0 for tract no 786 with population 768121.7727583847\n",
      "loop no 9.0 for tract no 787 with population 689792.5450953183\n",
      "loop no 10.0 for tract no 787 with population 698869.910729457\n",
      "loop no 11.0 for tract no 787 with population 936993.5259555827\n",
      "loop no 12.0 for tract no 787 with population 911160.5895246041\n",
      "loop no 13.0 for tract no 787 with population 702479.3389556664\n",
      "loop no 14.0 for tract no 787 with population 706976.6530984642\n",
      "loop no 15.0 for tract no 787 with population 734630.112763001\n",
      "loop no 16.0 for tract no 787 with population 749431.1513967128\n",
      "loop no 17.0 for tract no 787 with population 757607.4262379339\n",
      "loop no 18.0 for tract no 787 with population 762315.3701628543\n",
      "loop no 9.0 for tract no 789 with population 760671.5227562394\n",
      "loop no 10.0 for tract no 789 with population 762471.194736451\n",
      "I am working on tract number 800 of 5160 tracts\n",
      "loop no 9.0 for tract no 809 with population 768431.5174840891\n",
      "loop no 9.0 for tract no 818 with population 721947.1341535002\n",
      "loop no 10.0 for tract no 818 with population 771339.0833510347\n",
      "I am working on tract number 820 of 5160 tracts\n",
      "loop no 9.0 for tract no 831 with population 757280.8950647147\n",
      "loop no 10.0 for tract no 831 with population 767971.3872645544\n",
      "I am working on tract number 840 of 5160 tracts\n",
      "loop no 9.0 for tract no 850 with population 769753.4898861676\n",
      "loop no 9.0 for tract no 858 with population 761914.0537683145\n",
      "I am working on tract number 860 of 5160 tracts\n",
      "I am working on tract number 880 of 5160 tracts\n",
      "loop no 9.0 for tract no 885 with population 772179.1224023919\n",
      "I am working on tract number 900 of 5160 tracts\n",
      "loop no 9.0 for tract no 905 with population 745325.0107923194\n",
      "loop no 10.0 for tract no 905 with population 816872.1027428815\n",
      "loop no 11.0 for tract no 905 with population 770119.4282335042\n",
      "loop no 9.0 for tract no 906 with population 611572.6279591104\n",
      "loop no 10.0 for tract no 906 with population 800873.0237818733\n",
      "loop no 11.0 for tract no 906 with population 764951.0163400029\n",
      "I am working on tract number 920 of 5160 tracts\n",
      "loop no 9.0 for tract no 937 with population 808005.2312005452\n",
      "loop no 10.0 for tract no 937 with population 764778.9234064233\n",
      "I am working on tract number 940 of 5160 tracts\n",
      "loop no 9.0 for tract no 942 with population 771431.2876176395\n",
      "loop no 9.0 for tract no 943 with population 739222.6775962606\n",
      "loop no 10.0 for tract no 943 with population 773397.0610463357\n",
      "loop no 9.0 for tract no 944 with population 772319.0359365598\n",
      "loop no 9.0 for tract no 953 with population 768328.1641148895\n",
      "I am working on tract number 960 of 5160 tracts\n",
      "loop no 9.0 for tract no 961 with population 763659.0739534802\n",
      "loop no 9.0 for tract no 963 with population 766666.912864934\n",
      "loop no 9.0 for tract no 964 with population 856994.6508626832\n",
      "loop no 10.0 for tract no 964 with population 773195.6916255737\n",
      "loop no 9.0 for tract no 968 with population 735250.8638252586\n",
      "loop no 10.0 for tract no 968 with population 746620.7926707854\n",
      "loop no 11.0 for tract no 968 with population 765327.533784382\n",
      "loop no 9.0 for tract no 972 with population 817008.1339128084\n",
      "loop no 10.0 for tract no 972 with population 762385.6353898939\n",
      "loop no 9.0 for tract no 973 with population 763739.1089211223\n",
      "loop no 9.0 for tract no 979 with population 755823.2381416962\n",
      "loop no 10.0 for tract no 979 with population 761120.1053455484\n",
      "loop no 11.0 for tract no 979 with population 767273.4624335294\n",
      "I am working on tract number 980 of 5160 tracts\n",
      "loop no 9.0 for tract no 983 with population 775229.7126007103\n",
      "loop no 9.0 for tract no 984 with population 739114.9209300337\n",
      "loop no 10.0 for tract no 984 with population 909133.4553450982\n",
      "loop no 11.0 for tract no 984 with population 785368.6042717106\n",
      "loop no 12.0 for tract no 984 with population 775360.5537483329\n",
      "loop no 9.0 for tract no 997 with population 1391183.11615623\n",
      "loop no 10.0 for tract no 997 with population 2758536.3664706135\n",
      "loop no 11.0 for tract no 997 with population 2061388.7725910658\n",
      "loop no 12.0 for tract no 997 with population 710862.7746973251\n",
      "loop no 13.0 for tract no 997 with population 718914.9080049853\n",
      "loop no 14.0 for tract no 997 with population 748248.2073687302\n",
      "loop no 15.0 for tract no 997 with population 757345.9354615608\n",
      "loop no 16.0 for tract no 997 with population 762112.3324280137\n",
      "loop no 9.0 for tract no 999 with population 761077.2805442475\n",
      "loop no 10.0 for tract no 999 with population 768228.8758693425\n",
      "I am working on tract number 1000 of 5160 tracts\n",
      "loop no 9.0 for tract no 1009 with population 764989.4786924117\n",
      "I am working on tract number 1020 of 5160 tracts\n",
      "loop no 9.0 for tract no 1024 with population 783931.7629019623\n",
      "loop no 10.0 for tract no 1024 with population 771196.9905512704\n",
      "loop no 9.0 for tract no 1027 with population 762987.948005095\n",
      "loop no 9.0 for tract no 1028 with population 901623.2827030933\n",
      "loop no 10.0 for tract no 1028 with population 749200.7116887346\n",
      "loop no 11.0 for tract no 1028 with population 753346.3254553927\n",
      "loop no 12.0 for tract no 1028 with population 771119.458252258\n",
      "loop no 9.0 for tract no 1029 with population 835659.9411500011\n",
      "loop no 10.0 for tract no 1029 with population 709821.5885186936\n",
      "loop no 11.0 for tract no 1029 with population 739831.1795418827\n",
      "loop no 12.0 for tract no 1029 with population 764772.4780267\n",
      "loop no 9.0 for tract no 1030 with population 744435.4218598576\n",
      "loop no 10.0 for tract no 1030 with population 749750.1224943886\n",
      "loop no 11.0 for tract no 1030 with population 784862.72689041\n",
      "loop no 12.0 for tract no 1030 with population 770649.5298935849\n",
      "loop no 9.0 for tract no 1031 with population 891065.4619146311\n",
      "loop no 10.0 for tract no 1031 with population 780680.9726164392\n",
      "loop no 11.0 for tract no 1031 with population 772836.3307240942\n",
      "loop no 9.0 for tract no 1038 with population 779911.8618619604\n",
      "loop no 10.0 for tract no 1038 with population 771940.1266663873\n",
      "I am working on tract number 1040 of 5160 tracts\n",
      "loop no 9.0 for tract no 1042 with population 773407.5064867386\n",
      "loop no 9.0 for tract no 1045 with population 786350.3278599087\n",
      "loop no 10.0 for tract no 1045 with population 779322.0889617914\n",
      "loop no 11.0 for tract no 1045 with population 777951.6964256233\n",
      "loop no 12.0 for tract no 1045 with population 777510.1414950585\n",
      "loop no 13.0 for tract no 1045 with population 777340.7117978985\n",
      "loop no 14.0 for tract no 1045 with population 777266.8158021084\n",
      "loop no 15.0 for tract no 1045 with population 774042.3053871801\n",
      "loop no 9.0 for tract no 1046 with population 666482.7549175008\n",
      "loop no 10.0 for tract no 1046 with population 4401612.445299791\n",
      "loop no 11.0 for tract no 1046 with population 1668596.3194565307\n",
      "loop no 12.0 for tract no 1046 with population 890332.9837538796\n",
      "loop no 13.0 for tract no 1046 with population 836235.5990904793\n",
      "loop no 14.0 for tract no 1046 with population 801627.4040317126\n",
      "loop no 15.0 for tract no 1046 with population 787980.0389768751\n",
      "loop no 16.0 for tract no 1046 with population 780987.657624895\n",
      "loop no 17.0 for tract no 1046 with population 776539.2829103083\n",
      "loop no 9.0 for tract no 1047 with population 721633.9559182163\n",
      "loop no 10.0 for tract no 1047 with population 713689.7434568322\n",
      "loop no 11.0 for tract no 1047 with population 749893.5327061946\n",
      "loop no 12.0 for tract no 1047 with population 798381.1132712442\n",
      "loop no 13.0 for tract no 1047 with population 783324.1902639152\n",
      "loop no 14.0 for tract no 1047 with population 776155.3968909332\n",
      "loop no 9.0 for tract no 1048 with population 742259.8860599389\n",
      "loop no 10.0 for tract no 1048 with population 777551.4742572769\n",
      "loop no 11.0 for tract no 1048 with population 773747.4070552217\n",
      "I am working on tract number 1060 of 5160 tracts\n",
      "loop no 9.0 for tract no 1069 with population 771661.1320604241\n",
      "loop no 9.0 for tract no 1071 with population 762793.978305901\n",
      "loop no 9.0 for tract no 1074 with population 711940.5320408656\n",
      "loop no 10.0 for tract no 1074 with population 982172.7603597948\n",
      "loop no 11.0 for tract no 1074 with population 808627.0860399217\n",
      "loop no 12.0 for tract no 1074 with population 782296.9353111426\n",
      "loop no 13.0 for tract no 1074 with population 776952.1013609718\n",
      "loop no 14.0 for tract no 1074 with population 773484.9999308623\n",
      "loop no 9.0 for tract no 1077 with population 735055.1703963182\n",
      "loop no 10.0 for tract no 1077 with population 2215170.858968759\n",
      "loop no 11.0 for tract no 1077 with population 771866.3700045032\n",
      "loop no 9.0 for tract no 1078 with population 720307.0419479714\n",
      "loop no 10.0 for tract no 1078 with population 729325.6475412819\n",
      "loop no 11.0 for tract no 1078 with population 828743.4533394974\n",
      "loop no 12.0 for tract no 1078 with population 771854.2079076564\n",
      "loop no 9.0 for tract no 1079 with population 1001693.6606646202\n",
      "loop no 10.0 for tract no 1079 with population 786324.6994456226\n",
      "loop no 11.0 for tract no 1079 with population 774727.3337557716\n",
      "I am working on tract number 1080 of 5160 tracts\n",
      "loop no 9.0 for tract no 1080 with population 979874.6812641724\n",
      "loop no 10.0 for tract no 1080 with population 797277.3205952401\n",
      "loop no 11.0 for tract no 1080 with population 780895.3498493744\n",
      "loop no 12.0 for tract no 1080 with population 775447.0390307961\n",
      "loop no 9.0 for tract no 1082 with population 790474.4410702621\n",
      "loop no 10.0 for tract no 1082 with population 773490.8230557\n",
      "loop no 9.0 for tract no 1084 with population 753757.90858709\n",
      "loop no 10.0 for tract no 1084 with population 759830.8077865709\n",
      "loop no 11.0 for tract no 1084 with population 766266.4226413253\n",
      "loop no 9.0 for tract no 1085 with population 752229.957825711\n",
      "loop no 10.0 for tract no 1085 with population 768147.2758722848\n",
      "loop no 9.0 for tract no 1086 with population 765521.5988251345\n",
      "loop no 9.0 for tract no 1087 with population 763396.8740320524\n",
      "loop no 9.0 for tract no 1088 with population 769217.0384838576\n",
      "loop no 9.0 for tract no 1091 with population 788746.8277483395\n",
      "loop no 10.0 for tract no 1091 with population 750428.0442014087\n",
      "loop no 11.0 for tract no 1091 with population 753451.2155680277\n",
      "loop no 12.0 for tract no 1091 with population 767050.0150485354\n",
      "loop no 9.0 for tract no 1092 with population 736364.9153479827\n",
      "loop no 10.0 for tract no 1092 with population 747469.334717936\n",
      "loop no 11.0 for tract no 1092 with population 764463.056993603\n",
      "loop no 9.0 for tract no 1093 with population 816766.2177380809\n",
      "loop no 10.0 for tract no 1093 with population 765020.4340110836\n",
      "loop no 9.0 for tract no 1094 with population 743872.0305038443\n",
      "loop no 10.0 for tract no 1094 with population 776544.1657816503\n",
      "loop no 9.0 for tract no 1095 with population 768731.8085673086\n",
      "I am working on tract number 1100 of 5160 tracts\n",
      "loop no 9.0 for tract no 1104 with population 1000563.6860599829\n",
      "loop no 10.0 for tract no 1104 with population 778497.1181418204\n",
      "loop no 11.0 for tract no 1104 with population 772816.1390408657\n",
      "loop no 9.0 for tract no 1105 with population 766443.329467126\n",
      "loop no 9.0 for tract no 1109 with population 618533.9560815417\n",
      "loop no 10.0 for tract no 1109 with population 635179.4111836052\n",
      "loop no 11.0 for tract no 1109 with population 1021281.1557533758\n",
      "loop no 12.0 for tract no 1109 with population 993062.8408436168\n",
      "loop no 13.0 for tract no 1109 with population 906254.5618038719\n",
      "loop no 14.0 for tract no 1109 with population 630429.6129064575\n",
      "loop no 15.0 for tract no 1109 with population 685426.7933614764\n",
      "loop no 16.0 for tract no 1109 with population 717645.0283891675\n",
      "loop no 17.0 for tract no 1109 with population 738962.9891090519\n",
      "loop no 18.0 for tract no 1109 with population 749503.4139005927\n",
      "loop no 19.0 for tract no 1109 with population 756184.7297016555\n",
      "loop no 20.0 for tract no 1109 with population 760711.8618590645\n",
      "loop no 21.0 for tract no 1109 with population 763788.9638374924\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.75281 0.75373 236466.8219 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.3107 1.31299 237610.689 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.78751 1.27852 53514.566 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.36631 1.37164 236196.887 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 1111 with population 894993.2030275824\n",
      "loop no 10.0 for tract no 1111 with population 642146.229330866\n",
      "loop no 11.0 for tract no 1111 with population 663821.1323875587\n",
      "loop no 12.0 for tract no 1111 with population 956036.3483334073\n",
      "loop no 13.0 for tract no 1111 with population 809239.9422485032\n",
      "loop no 14.0 for tract no 1111 with population 786104.578016533\n",
      "loop no 15.0 for tract no 1111 with population 778823.9569537544\n",
      "loop no 16.0 for tract no 1111 with population 774932.8053214792\n",
      "loop no 9.0 for tract no 1114 with population 772617.8564522858\n",
      "loop no 9.0 for tract no 1116 with population 766622.9095196654\n",
      "loop no 9.0 for tract no 1118 with population 754187.1748462047\n",
      "loop no 10.0 for tract no 1118 with population 775005.1422291605\n",
      "I am working on tract number 1120 of 5160 tracts\n",
      "loop no 9.0 for tract no 1124 with population 771307.817751967\n",
      "loop no 9.0 for tract no 1125 with population 764233.887609353\n",
      "loop no 9.0 for tract no 1128 with population 772478.6457245142\n",
      "loop no 9.0 for tract no 1134 with population 942992.510765265\n",
      "loop no 10.0 for tract no 1134 with population 916130.1856131412\n",
      "loop no 11.0 for tract no 1134 with population 598174.4934740432\n",
      "loop no 12.0 for tract no 1134 with population 622957.272874468\n",
      "loop no 13.0 for tract no 1134 with population 919811.2231925471\n",
      "loop no 14.0 for tract no 1134 with population 890907.6601929321\n",
      "loop no 15.0 for tract no 1134 with population 836182.5524489898\n",
      "loop no 16.0 for tract no 1134 with population 806677.5166379265\n",
      "loop no 17.0 for tract no 1134 with population 791336.7633344565\n",
      "loop no 18.0 for tract no 1134 with population 782456.9570919932\n",
      "loop no 19.0 for tract no 1134 with population 777122.291044533\n",
      "loop no 20.0 for tract no 1134 with population 773949.3419217914\n",
      "loop no 9.0 for tract no 1135 with population 767224.1482359311\n",
      "I am working on tract number 1140 of 5160 tracts\n",
      "loop no 9.0 for tract no 1144 with population 768365.9877566608\n",
      "loop no 9.0 for tract no 1159 with population 764575.4536630241\n",
      "I am working on tract number 1160 of 5160 tracts\n",
      "loop no 9.0 for tract no 1164 with population 768646.8576148491\n",
      "I am working on tract number 1180 of 5160 tracts\n",
      "I am working on tract number 1200 of 5160 tracts\n",
      "I am working on tract number 1220 of 5160 tracts\n",
      "I am working on tract number 1240 of 5160 tracts\n",
      "I am working on tract number 1260 of 5160 tracts\n",
      "loop no 9.0 for tract no 1266 with population 773506.8847616444\n",
      "I am working on tract number 1280 of 5160 tracts\n",
      "loop no 9.0 for tract no 1282 with population 814073.4949362066\n",
      "loop no 10.0 for tract no 1282 with population 765140.4027021573\n",
      "loop no 9.0 for tract no 1288 with population 771663.2603779854\n",
      "loop no 9.0 for tract no 1294 with population 764714.0350172953\n",
      "I am working on tract number 1300 of 5160 tracts\n",
      "loop no 9.0 for tract no 1304 with population 765400.1016608474\n",
      "loop no 9.0 for tract no 1313 with population 766499.2908809121\n",
      "I am working on tract number 1320 of 5160 tracts\n",
      "loop no 9.0 for tract no 1338 with population 756113.7891910259\n",
      "loop no 10.0 for tract no 1338 with population 760819.9167741546\n",
      "loop no 11.0 for tract no 1338 with population 803452.0717366387\n",
      "loop no 12.0 for tract no 1338 with population 775653.1257354397\n",
      "I am working on tract number 1340 of 5160 tracts\n",
      "loop no 9.0 for tract no 1345 with population 766818.8600752446\n",
      "loop no 9.0 for tract no 1351 with population 774572.8024007778\n",
      "I am working on tract number 1360 of 5160 tracts\n",
      "loop no 9.0 for tract no 1361 with population 772642.342835624\n",
      "loop no 9.0 for tract no 1363 with population 766220.4574317964\n",
      "loop no 9.0 for tract no 1371 with population 755858.2992773032\n",
      "loop no 10.0 for tract no 1371 with population 763844.4419778801\n",
      "loop no 9.0 for tract no 1379 with population 5514803.342826815\n",
      "loop no 10.0 for tract no 1379 with population 1063245.3033193077\n",
      "loop no 11.0 for tract no 1379 with population 960769.8639484671\n",
      "loop no 12.0 for tract no 1379 with population 865457.1682841055\n",
      "loop no 13.0 for tract no 1379 with population 833967.5634984323\n",
      "loop no 14.0 for tract no 1379 with population 796009.1413325303\n",
      "loop no 15.0 for tract no 1379 with population 784410.0774722777\n",
      "loop no 16.0 for tract no 1379 with population 778255.6867841785\n",
      "loop no 17.0 for tract no 1379 with population 774639.5737748684\n",
      "I am working on tract number 1380 of 5160 tracts\n",
      "loop no 9.0 for tract no 1397 with population 725130.5757367689\n",
      "loop no 10.0 for tract no 1397 with population 860014.1834038817\n",
      "loop no 11.0 for tract no 1397 with population 759688.4852588829\n",
      "loop no 12.0 for tract no 1397 with population 762762.5044867758\n",
      "I am working on tract number 1400 of 5160 tracts\n",
      "loop no 9.0 for tract no 1404 with population 766621.441571906\n",
      "I am working on tract number 1420 of 5160 tracts\n",
      "loop no 9.0 for tract no 1432 with population 634427.4719204382\n",
      "loop no 10.0 for tract no 1432 with population 683699.3526683261\n",
      "loop no 11.0 for tract no 1432 with population 882291.6115473046\n",
      "loop no 12.0 for tract no 1432 with population 859489.1628472428\n",
      "loop no 13.0 for tract no 1432 with population 660369.6770971555\n",
      "loop no 14.0 for tract no 1432 with population 712731.1799061331\n",
      "loop no 15.0 for tract no 1432 with population 736814.5768481201\n",
      "loop no 16.0 for tract no 1432 with population 750561.6923858075\n",
      "loop no 17.0 for tract no 1432 with population 757885.5914270415\n",
      "loop no 18.0 for tract no 1432 with population 762294.6050916858\n",
      "loop no 9.0 for tract no 1436 with population 746172.4814811202\n",
      "loop no 10.0 for tract no 1436 with population 749474.7732523542\n",
      "loop no 11.0 for tract no 1436 with population 752707.4330257669\n",
      "loop no 12.0 for tract no 1436 with population 755983.6200382357\n",
      "loop no 13.0 for tract no 1436 with population 758496.1892647535\n",
      "loop no 14.0 for tract no 1436 with population 760815.7025967042\n",
      "loop no 15.0 for tract no 1436 with population 764345.1014548062\n",
      "I am working on tract number 1440 of 5160 tracts\n",
      "loop no 9.0 for tract no 1453 with population 758175.0952564067\n",
      "loop no 10.0 for tract no 1453 with population 769548.8724578707\n",
      "loop no 9.0 for tract no 1454 with population 693056.8242630868\n",
      "loop no 10.0 for tract no 1454 with population 692969.360881754\n",
      "loop no 11.0 for tract no 1454 with population 5687675.942323379\n",
      "loop no 12.0 for tract no 1454 with population 5120759.524409868\n",
      "loop no 13.0 for tract no 1454 with population 2341234.37710007\n",
      "loop no 14.0 for tract no 1454 with population 1698823.0437765906\n",
      "loop no 15.0 for tract no 1454 with population 1418763.1185270322\n",
      "loop no 16.0 for tract no 1454 with population 1327088.8617412406\n",
      "loop no 17.0 for tract no 1454 with population 1304205.90267424\n",
      "loop no 18.0 for tract no 1454 with population 1290203.3896768817\n",
      "loop no 19.0 for tract no 1454 with population 1278063.3589936728\n",
      "loop no 20.0 for tract no 1454 with population 1263326.2841965063\n",
      "loop no 21.0 for tract no 1454 with population 1245660.0957464885\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.11183 0.09521 2773.0563 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.41718 0.35517 58171.0492 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.14491 0.12337 62811.235 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 1454 with population 1231360.6274324271\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.10175 0.08662 2515.3682 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.37957 0.32315 56124.4247 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.13184 0.11224 50816.0792 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 1454 with population 1218590.2213942173\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.09257 0.07881 2330.154 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.34535 0.29401 54042.4636 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.11995 0.10212 40312.8485 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 1454 with population 1207258.935585853\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.08423 0.07171 2148.6724 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.31421 0.2675 51606.8655 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.10914 0.09292 31598.6424 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 1454 with population 1198508.4895685061\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.07663 0.06524 1985.6598 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.28588 0.24339 49320.5964 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.0993 0.08454 25297.4781 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 1454 with population 1191932.1184368746\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.06972 0.05936 1845.4944 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.2601 0.22144 47727.9647 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.09035 0.07692 20453.9041 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 1454 with population 1187276.8418912601\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.06344 0.05401 1729.1919 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.23665 0.20148 46715.8368 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.0822 0.06998 16927.058 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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zptCpZWNSpUplgs5TNgkKIUSi8/N/xMJlnnis24q5uTkj+/dgRP/uZM9qfHnqhSvXsbJ1ZvfBI+TJmYNfp4yhV6fWhqcR8R8JCiFEonka8Bx7t9UsXbGB0NBQenWOWJ6aL3dOw7Vu3LnLnMWubNixjyyZMjJ19CAGfd4pTtOI+P8kKIQQCS4wKIhlKzdg57qaZ89f0KV1E8YP60/xwsaXp/r5P2LBUg8812/D3NycUQM+Z0S/7mTLktkEnX+cJCiEEAnmdWgonhu2sXCpB37+j2lWvxaTRw6gYpmShms9DXiOnetqlq2MmEb6dG3LV1/0Jm8u49OIiJkEhRDC5MLDw9mwYy9zFrtx0/ceNT+txGKr76j5aSXDtV4FBrJs5Qbs3dYQ8OLlm2mkWKECJuhcgASFEMKEtNbsOngEazsXLl65ToUyJXBbMIOm9WoYXp4a8vo1nuu3sXCZJw8ePaZFg9pMGjmACqVLmKh78S8JCiGESRw5dZaZNk4c+/s8xQoVwHbGVDq2bGR4eWpYWFjENOLgxi3f+9SuVhnHWdOo8UlFE3Uu3iZBIYSIV+d8rmFt68SeQ8fImysHVlO/pGen1qQ2N/bPjdaanQf+YpadCxev/kPFMiVZvugXGtexkIvlEpgEhRAiXly/5cucxa5s9N5HtiyZ+XbMYAZ+3pH06dIZrnX4xBmsbJ04fuYCxYsUxO7Xb+jQvKFcLJdIJCiEEB/k3gN/5i9ZzspN20mTOjVjBvZiRP/uZM2cyXCtc5euYmXnxN5Dx8mXOyfW33zF5x1bGZ5GRPySoy+EiJMnzwKwdVmF8+qNhIWF079bB74c1Is8uXIYrnX9li+z7V3YtHM/2bJmZtpXQ7Ds3pH06dKaoHNhlASFEMKQl68CWbpiPYvd1/D85Su6tmnGhGH9KFIwv+Fad/0esmDpclZu2kHaNGn46oveDO/XnSyZMpqgcxFXEhRCiFgJDgnBY91WFjp54v/4KS0b1mHSyAGUL1XccK3HTwOwdV2Jy+pNhIWFY/lZB74c1JvcObOboHPxoSQohBAxCgsLY922Pcx1dOP2XT/qVKvCsjnTsahSwXCtl68CcfT0wsF9LS9eBfJZu+aMH9qPwgXymaBzEV/eGxRKqcKAG5APCAcctdYLI+8bA4wGQoEtWutJ0ezfGlgImAFLtdZW8de+EMJUtNZ47z+MtZ0zPtdvUrlcKaymfkWj2tUNL08NDglh+botLHJagf/jp7RuXJdJIwZQtmQx0zQv4lVsJopQYLzW+qRSKjNwQim1E8gLdAKqaK2DlVJ53t5RKWUG2AItgDvAMaXUJq31hfj7EYQQ8e3Q8b+ZaevEybMXKVGkEIutvqNd0/pxuljOa9tu5jq4c+eeH3UtPsFp7o9Ur1zeRJ0LU3hvUGit7wH3Im8/V0pdBAoCQwArrXVw5H0Potm9JnBVa30dQCm1kohwkaAQIgk6c/EyVrbO7P/rBPnz5mL2d1/To31LzM2NffSo1prt+/5klr0rl6/fpEr50sz+diwNalWTi+WSIUPvUSiligFVgSPAbKCBUuoXIAiYoLU+9tYuBYHbUb6/A9R6R+2hwFCAIkWKGGlLCPGBrt64zSx7F7bsPkD2rFmYNnYolp91iNPy1IPHTmFl48Sp8z6ULFoIB6vvaNesgQREMhbroFBKZQK8gLFa6wCllDmQHagN1ABWK6VKaK111N2iKaWj2YbW2hFwBLCwsIj2MUKI+OV7/wHzlyxn9WZv0qZJw9dD+jKsTzcyx2F56t8XLmNl68QfR06SP28u5k4bx2ftWhieRkTSE6ugUEqlJiIkPLTW6yI33wHWRQbDUaVUOJALeBhl1ztA4SjfFwLufnDXQogP8vjpM35zXonrmk1oDQN6dOLLgT3JlcP48tSrN25hbefC1j0HyZEtKz98PYz+n3UgXdo0JuhcJIbYrHpSwDLgotZ6XpS7NgBNgX1KqTJAGsD/rd2PAaWVUsUBX6An0Dse+hZCxMGLl69w9PDCwcOLV4FBdG/XgnFD+1Iof17DtXzvP2CeozurN+8kfbq0jBvSl6FxnEZE0habiaIe0A84q5Q6HbntG8AJcFJKnQNCAEuttVZKFSBiGWxbrXWoUmo0sIOI5bFOWuvz8f5TCCFiFBQcgrvXZhY5reDx02e0bVKfiSMsKVOiqOFaj548ZZHTCtzWbgbgi56dGTOwJzmzZ4vnrkVSEZtVTweJ/r0GgL7RPP4u0DbK91uBrXFtUAgRd6GhYXht3cVcR3d87z+gfs2qTBk5kKqVyhmu9fzFyzfTSGBQMD3at2Dc0H4UzPc/K+NFCiNXZguRAmmt2bb3T6ztnLl64zafVijLnGnjaFirmuFaQcEhuK39nd+cV0ZMI03rM2nEAEoXl9WJHwsJCiFSmD+OnMTa1pnTF3woXbwIS2Z9T5sm9QwvTw0NDWPNZm/mLVnOXb+HNKhZlSmjBvFpxbIm6lwkVRIUQqQQp85dYqatE38eO03BfHmY9/14urVtHqeL5bbsPsAsexeu3bxD1YplmT99AvVrVDVR5yKpk6AQIpm7fP0ms+xd2Lb3T3Jky8qP40fQr1s70qYxtjxVa82BIyexsnPm7wuXKVOiKMvm/ECrRnXlYrmPnASFEMnUnXt+zHV0Z+2WXWRIn44Jw/ozpHdXMmXMYLjWyXMXmWnjxKHjf1Mof17mT59AtzbNMDOTi+WEBIUQyY7/4ycsclqBu9cWlIIhvbsyesDn5MiW1XAtn2s3mGXvwvZ9h8iZPSs/TRhB367GpxGRsklQCJFMBLx4icPytTh6eBEUHELPjq0YO7hPnJan3r57nzkObnht3U2mDOmZMLw/Q3rFbRoRKZ8EhRBJXGBQMK5rf8fGeSVPngXQvnlDJg63pFSxwu/f+S0PHz1hkZMn7l5bMDNLxbC+3Rhl2ZMc2bKYoHORUkhQCJFEhYaGsXqzN3Md3bn/wJ9GtaszZdRAqpQvY7hWwIuXLHZfwxLPdQSH/DuN9KVA3twm6FykNBIUQiQx4eHhbN59gNn2rly/dYdqlcvz20+TqWvxieFagUHBuKzeiI3rKp4+e06HFo2YONySkkULmaBzkVJJUAiRRGit2f/XCWbaOHHO5yplSxTFac50WjaqY3h56uvQUFZt2sH8pR7cf+BPk7oWTB45kMrlSpuoe5GSSVAIkQQcP3MBKxsnDp88Q+ECeVn44yS6tG5ieHlqeHg4v+/6g9mLXfnnli/Vq1TA5ucp1KlexUSdi4+BBIUQiejS1X+wtnPB+4/D5M6ZnRkTR9G7S5s4XSy37/BxrGydOedzlXIli+E870daNKgtF8uJDyZBIUQiuOV7jzkO7qzbFrE8ddKIAQzu1YWMGdIbrnXs7/NY2Trx18mzFCmYj0U/TaJzK+PTiBDvIkEhRAJ64P+Yhcs88Vi/FTOzVIzo152Rlj3IntX48tQLV65jbefMrgNHyJ0zO79MGk3vLm1Ikzq1CToXHzMJCiESwLPnL7B3W8PSFesIef2aXp3aMHZwH/LnyWW41s0795jj4Mr67XvJnDEDU0YN5IuencmQ3vg0IkRsSFAIYUKBQUE4r9qEresqngY8p1PLxkwYbkmJIgUN1/LzfxQxjazbirm5OSP792BE/+5xmkaEMEKCQggTeB0ayooN21mwdDl+/o9pWq8mk0cOpFLZkoZrPQ14jr37GpZ6ric0NJRenSOmkXy5c5qgcyH+lwSFEPEoPDycTd77mb3YlRt37lLjk4rYz/yWWlUrG64VGBTEspUbsHNdTcCLl3Ru1Zjxw/pTvLDxaUSIDyFBIUQ80Fqz589jWNk5ceHydcqXLoHrgp9pVq9mnC6W89ywjYVLPfDzf0yz+rWYPHIAFcsYn0aEiA8SFEJ8oKOnzzHTxomjp89RtGB+bGZMoVPLxqRKlcpQnfDwcDZ672O2vSs3fe9R89NKLLb6jpqfVjJR50LEjgSFEHF0/vI1rO1c2H3wCHly5uDXKWPo1am14eWpWmt2HTyCtZ0LF69cp0KZErgtmEHTejXkYjmRJEhQCGHQP7d9mbPYjY3e+8iSKSPfjP6CQT07kT5dOsO1jpw6y0wbJ479fZ5ihQpgO2MqHVs2MjyNCGFKEhRCxNL9h49YsNSDFRu2YW5uzqgBnzOiX3eyZclsuNY5n2tY2zqx59Ax8uXOidXUL+nZqTWpzeWvpEh65KwU4j2eBjzHznU1y1ZuIDQ0lD5d2/LVF73Jm8v48tR/bvsy296Vjd77yJYlM9+OGczAzzvGaRoRIqFIUAjxDq8CA98sT33+8hVdWjdlwrD+FC2U33Ctew/8I6aRjdtIkzo1Ywb2YkT/7mTNnMkEnQsRvyQohHhLyOvXeK7fxoJlHjx89IQWDWozedRAypcqbrjWk2cB2Lqswnn1RsLCwunfrQNfDupFnlw5TNC5EKYhQSFEpLCwMDbs2MscBzdu+d6ndrXKLJn1PTU+qWi41stXgSxdsZ7F7mt4/vIVXds0Y8KwfhQpaHwaESKxSVCIj57Wmp0H/sLa1plL125QqWwpli/6hcZ1LAwvTw15/RqPdVtZsMwD/8dPadWoDpNGDKBcHKYRIZIKCQrxUTt84gwzbZ04ceYCxYsUxO7Xb+jQvKHh5alhYWGs27aHuY5u3L7rR51qVVg2ZzoWVSqYqHMhEo4Ehfgonb10BStbZ/YdPk6+3DmZ9e1YenRoaXh5qtYa7/2HsbZzxuf6TSqXK4XV1K9oVLu6XCwnUgwJCvFRuXbzDrMXu/L7zv1ky5qZaV8NwbJ7R9KnS2u41qHjfzPT1omTZy9SokghFlt9R7um9eViOZHiSFCIj8Jdv4csWLqclZt2kDZNGsYO7sOwvp+RJVNGw7XOXLyMla0z+/86Qf68uZj93df0aN8Sc3P56FGRMklQiBTt8dMAbF1X4rxqI+HhmgHdOzJmYC9y58xuuNbVG7eZvdiVzbv+IHvWLEwbOxTLzzrEaRoRIjmRoBAp0stXgTh6euHgvpaXgUF0a9uM8UP7UbhAPsO1fO8/YP6S5aze7E26tGn5ekhfhvXpRuY4TCNCJEcSFCJFCQ4JYfm6LSxc5smjJ89o3bguk0YMoGzJYoZrPX76jN+cV+K6ZhNaw4AenfhyYE9y5TA+jQiRnElQiBQhLCwMr227mevgzp17ftS1+ISpowdRrVJ5w7VevHzFEs91LF6+lleBQXRv14JxQ/tSKH9eE3QuRNInQSGSNa012/f9ySx7Vy5fv0mV8qWZ/e1YGtSqZnh5alBwCO5em/nNeQWPnjyjbZP6TBxhSZkSRU3UvRDJw3uDQilVGHAD8gHhgKPWeqFSajowBHgY+dBvtNZbo9n/BvAcCANCtdYW8dO6+NgdPHYKKxsnTp33oWTRQjhaT6Nt0/qGAyI0NAyvrbuY6+iO7/0H1K9ZlSkjB1K1UjkTdS5E8hKbiSIUGK+1PqmUygycUErtjLxvvtZ6TixqNNFa+8e5SyGiOH3eBytbJw4cPUWBvLmZO20cn7VrYXh5qtaabXv/xNrOmas3bvNphbLM/X48DWpWNVHnQiRP7w0KrfU94F7k7edKqYtAQVM3JsTbrt64hbWdC1v3HCRHtqxMHzecft3aky5tGsO1DhyNmEZOX/ChdPEiLJn1PW2a1JOrqYWIhqH3KJRSxYCqwBGgHjBaKdUfOE7E1PEkmt004K2U0oCD1trxHbWHAkMBihQpYqQtkcL53n/APEd3Vm/eSfp0aRk/tB9DeneN0/LUU+cuYWXnzMGjpyiYLw/zvh9Pt7bN5WI5IWKgtNaxe6BSmYD9wC9a63VKqbyAPxFB8DOQX2s9KJr9Cmit7yql8gA7gTFa6z9iei4LCwt9/Phxgz+KSGkePXnKIqcVuK3dDIBl9w6MGdiTnNmzGa51+fpNZtm7sG3vn+TMnpUvB/WmX7d2pE1jfBoRIilSSp0w1XvAsZoolFKpAS/AQ2u9DkBr7Rfl/iXA5uj21Vrfjfz6QCm1HqgJxBgU4uP2/MVLHD28cPDwIjAomB7tWzBuaD8K5stjuNade37MdXRn7ZZdZEifjgnD+jOkd1cyZcxggs6FSJlis+pJAcuAi1rreVG25498/wKgC3Aumn0zAqki39vICLQEfoqXzkWKExQcgtva31nktIInzwJo16wBk0ZYUqqY8Zci/R8/YZHzStzXbkYpGNK7K6MHfE6ObFlN0LkQKVtsJop6QD/grFLqdOS2b4BeSqlPiXjp6QYwDCJeagKWaq3bAnmB9ZFvEJoDnlrr7fHYv0gBQkPDWLPZm3lLlnPX7yENa1VjyqhBfFKhjOFaAS9e4rB8LUs81xEYFEzPjq0YO7hPnKYRIUSE2Kx6OghEtxTkf66ZiHz8XaBt5O3rwCcf0qBIubTWbNl9gFn2Lly7eYeqFcsyf/oE6tcwvjw1MCgY17W/Y+O8kifPAmjfvCETh1tSqlhhE3QuxMdFrswWCU5rzR9HTmBl68yZi1coU6Ioy+b8QKtGdeN0sdzqzd7MdXTn/gN/GtexYPLIAVQpb3waEUJET4JCJKiT5y4y08aJQ8f/plD+vCyYPpGubZpiZmZseWp4eDibdx9gtr0r12/doVrl8vz202TqWsgAK0R8k6AQCcLn2g1m2buwfd8hcmbPys8TRtKna1vDy1O11uz/6wQzbZw453OVsiWK4jRnOi0b1ZGL5YQwEQkKYVK3795njoMbXlt3kylDeiYOt2RI765kzJDecK3jZy5gZePE4ZNnKFwgLwt/nESX1k0MTyNCCGMkKIRJPHz0hEVOnrh7bcHMLBXD+nZjlGVPcmTLYrjWpav/YG3ngvcfh8mdMzszJo6iT9e2pEmd2gSdCyHeJkEh4lXAi5csdl/DEs91BIeE0LNja74e0pf8eXIZrnXL9x5zHNxZty1iGpk0YgCDe3WJ0zQihIg7CQoRLwKDgnFZvREb11U8ffacji0aMWG4JSWLFjJc64H/YxYu88Rj/VbMzFIxol93Rlr2IHtW49OIEOLDSVCID/I6NJRVm3Ywf6kH9x/406SuBVNGDqJSuVKGaz17/gJ7tzUsXbGOkNev6dWpDWMH94nTNCKEiD8SFCJOwsPD+X3nfmYtduXG7btYVKmA7Ywp1K5WxXCtwKAgnFdtwtZ1FU8DntO5VRMmDO9P8cLy2+yFSAokKIQhWmv2HjqGla0z5y9fo3yp4rjM/4nm9WsZXp76OjSUFRu2s2Dpcvz8H9O0Xk0mjxxIpbIlTdS9ECIuJChErB37+zxWtk78dfIsRQrm47efJ9OpZeM4XSy3yXs/sxe7cuPOXWp8UhH7md9Sq2plE3UuhPgQEhTivS5cuY61nTO7DhwhT84c/DJ5NL07tzG8PFVrzZ4/j2Fl58SFy9cpX7oErgt+plm9mnKxnBBJmASFeKebd+4xx8GV9dv3kiVTRqaOHsSgzzuRIb3x5alHT59jpo0TR0+fo2jB/NjMmEKnlo1JlSqVCToXQsQnCQrxP/z8H0UsT123FXNzc0ZZ9mBE/x5ky5LZcK3zl69hbefC7oMR08ivU8bQq1NruVhOiGREgkK88TTgOfZuq1m6YgOhoaH07hKxPDVvrpyGa/1z25c5i93YsGMvWTNn4pvRXzCoZyfSp0tngs6FEKYkQSEIDApi2coN2LmuJuDFSzq3asyE4ZYUK1TAcK37Dx+xYKkHKzZsI3Vqc0YP7MmIft3jNI0IIZIGCYqPWMjr16zYuJ0FSzx48OgxzRvUYvLIgVQoXcJwracBz7FzXc2ylRHTSN+u7fjqi97kyZXDBJ0LIRKSBMVHKDw8nA079jJnsRs3fe9Rq2olHK2nUePTioZrvQoMZOmKDdi7reb5y1d0ad2UCcP6U7RQfhN0LoRIDBIUHxGtNbsOHsHazoWLV65ToUwJ3BfOoEndGoaXp4a8fo3n+m0sWObBw0dPaNGgNpNHDaR8qeIm6l4IkVgkKD4SR06dZaaNE8f+Pk+xwgWw+2UqHVo0Mrw8NSwsLGIacXDjlu99alerzJJZ31PjE+PTiBAieZCgSOHO+VzD2taJPYeOkS93Tqy/+YrPO7Yitbmx//Raa3Ye+AtrW2cuXbtBpbKlWL7oFxrXsZCL5YRI4SQoUqjrt3yZs9iVjd77yJYlM999OZgBPTqRPl1aw7UOnzjDTFsnTpy5QPEiBbH79Rs6NG8oF8sJ8ZGQoEhh7j3wZ/6S5azctJ00qVPz5aBeDO/XnayZMxmudfbSFaxsndl3+Dj5cudk1rdj6dGhpeFpRAiRvMnf+BTiybMAbF1W4bx6I2Fh4fTv1oEvB/WK0/LUazfvMHuxK7/v3E+2rJmZ9tUQLLt3jNM0IoRI/iQokrmXrwJZumI99m6refEqkG5tmzF+aD+KFDS+PPWu30MWLF3Oyk07SJsmDWMH92FY38/IkimjCToXQiQXEhTJVHBICB7rtrLQyRP/x09p1agOk0YMoFwclqc+fhqAjctKXFZvJDxcM6B7R8YM7EXunNlN0LkQIrmRoEhmwsLCWLdtD3Md3bh914861T/Bae6PVK9c3nCtl68CcfT0wsF9LS8Dg95MI4UL5DNB50KI5EqCIpnQWuO9/zDWds74XL9JlfKlsf7mKxrWqm54eWpwSAjL121h4TJPHj15RuvGdZk0YgBlSxYzTfNCiGRNgiIZ+PP4aaxsnTl59iIlihTCweo72jVrYDggwsLC8Nq2m7kO7ty550ddi0+YOnoQ1SoZn0aEEB8PCYok7MzFy1jZOrP/rxPkz5uLOd99Tff2LTE3N/bRo1prtu/7k1n2rlyOnEZmfzuWBrWqycVyQoj3kqBIgq7euM0sexe27D5A9qxZ+H7sUCy7dyRd2jSGax08dgorGydOnfehZNFCOFpPo23T+hIQQohYk6BIQnzvP2D+kuWs3uxNurRp+XpIX4b16UbmOCxPPX3eBytbJw4cPUWBvLmZO20cn7VrYXgaEUIICYok4PHTZ/zmvBLXNZvQGgb26MSXg3qRM3s2w7Wu3riFtZ0LW/ccJEe2rEwfN5x+3drHaRoRQgiQoEhUL16+wtHDCwcPL14FBtG9XQvGDe1Lofx5Ddfyvf+AuQ7urNmyk/Tp0jJ+aD+G9O4ap2lECCGikqBIBEHBIbh7bWaR0woeP31G2yb1mTRyAKWLFzFc69GTpyxyWoHb2s0AfNGzM2MG9ozTNCKEENGRoEhAoaFheG3dxVxHd3zvP6BBzapMGTWITyuWNVzr+YuXb6aRwKBgerRvwbih/SiYL48JOhdCfMwkKBKA1pqtew4yy96Fqzdu82mFssz9fjwNalY1XCsoOAS3tb+zyGkFT54F0K5ZAyaNsKRUMePTiBBCxIYEhYn9ceQk1rbOnL7gQ+niRVg6+3taN65neHlqaGgYazZ7M2/Jcu76PaRhrWpMGTWITyqUMVHnQggRQYLCRE6du8RMWyf+PHaagvnyMO+HCXzWthlmZsYvltuy+wCz7F24dvMOVSuWZf70CdSvYXwaEUKIuHhvUCilCgNuQD4gHHDUWi9USk0HhgAPIx/6jdZ6azT7twYWAmbAUq21VTz1niRdvn6TWfYubNv7JzmzZ+WnCSPo27UdadMYW56qteaPIyewsnXmzMUrlClRlGVzfqBVo7pysZwQIkHFZqIIBcZrrU8qpTIDJ5RSOyPvm6+1nvOuHZVSZoAt0AK4AxxTSm3SWl/40MaTmjv3/Jjr6M7aLbvIkD4dE4b3Z0ivrmTKmMFwrZPnLjLTxolDx/+mUP68LJg+ka5tmhqeRoQQIj68Nyi01veAe5G3nyulLgIFY1m/JnBVa30dQCm1EugEpJig8H/8hEVOK3D32oJSMKR3V0YP+Jwc2bIaruVz7QbWds7s2H+YnNmz8vOEkfTp2tbwNCKEEPHJ0HsUSqliQFXgCFAPGK2U6g8cJ2LqePLWLgWB21G+vwPUekftocBQgCJFkv4KnoAXL3FYvhZHDy+CQ0L4vEMrxg7uE6flqbfv3meOgxteW3eTKUN6Jg63ZEjvrmTMkN4EnQshhDGxDgqlVCbACxirtQ5QStkDPwM68utcYNDbu0VTSkdXX2vtCDgCWFhYRPuYpCAwKBjXtb9j47ySJ88C6NCiEROHW1KyaCHDtR4+esIiJ0/cvbZgZpaKYX27McqyJzmyZTFB50IIETexCgqlVGoiQsJDa70OQGvtF+X+JcDmaHa9AxSO8n0h4G6cu01EoaFhrPp9B/OWLOf+A38a17FgyqiBVC5X2nCtgBcvWey+hiWe6wgOCaFnx9Z8PaQv+fPkMkHnQgjxYWKz6kkBy4CLWut5Ubbnj3z/AqALcC6a3Y8BpZVSxQFfoCfQ+4O7TkDh4eFs3n2A2fauXL91h2qVy/PbT5Opa/GJ4VqBQcG4rN6Ijesqnj57TscWjZgQx2lECCESSmwminpAP+CsUup05LZvgF5KqU+JeCnpBjAMQClVgIhlsG211qFKqdHADiKWxzpprc/H609gIlpr9v91gpk2TpzzuUq5ksVwnvsjLRrWNrw89XVoKKs27WD+kuXcf/iIJnUtmDJyEJXKlTJR90IIEX+U1knv7QALCwt9/PjxRHv+42cuYGXjxOGTZyhcIC8Th1vSuVUTw8tTw8PD+X3nfmYtduXG7btYVKnA1NGDqF2tiok6F0J8rJRSJ7TWFqaoLVdmR3Hp6j9Y27ng/cdhcufMzi+TRtO7SxvSpE5tqI7Wmr2HjmFl68z5y9coX6o4LvN/onn9WnKxnBAi2ZGgAG7eucccBzfWb99D5owZmDxyIIN7dSZDeuPLU4+dPs9M22UcOXWOIgXz8dvPk+nUsrFcLCeESLY+6qB44P+Yhcs88Vi/FTOzVIzo152Rlj3IntX48tQLV65jbefMrgNHIqaRyaPp3dn4NCKEEEnNRxkUz56/wN5tDUtXrOP161B6dW7D2MF9yJc7p+FaEdOIK+u37yVLpoxMGTWQL3rGbRoRQoik6KMKisCgIJxWbsTObTVPA57TuVUTJgzvT/HCsf2NJP/x838UMY2s24q5uTmjLHswon8PsmXJbILOhRAi8XwUQfE6NJQVG7azYOly/Pwf07ReTSaPHEilsiUN13oa8Bx7t9UsXbGB0NBQeneJmEby5jI+jQghRHKQooMiPDycTd77mb3YlRt37lLz00rYz/yWWlUrG64VGBTEspUbsHNdTcCLl3Ru1ZgJwy0pVqiACToXQoikI0UGhdaaPX8ew8rOiQuXr1O+dAncFsygab0ahpenhrx+jeeGbSxc6smDR49p3qAWk0cOpELpEibqXgghkpYUFxS/LFqKndtqAIoVKoDtjKl0bNmIVKlSGaoTHh7Ohh17mbPYjZu+96hVtRKO1tOo8WlFU7QthBBJVooLin9DYuaUL+nVuTWpzY39iFprdh08grWtMxev/kOFMiVwXziDJnWNTyNCCJESpLigAGjbtD79P2tveL+/Tp5hpo0Tx89coFihAtj9MpUOLYxPI0IIkZKkqKAICwvDzCwVJYsWfv+Dozjncw1rWyf2HDpGvtw5sZr6JT07GZ9GhBAiJUpR/xL6+T8mLCycgvlyx+rx12/5MmexKxu995EtS2a++3IwA3p0In26tCbuVAghko8UFRR3/R4CUCBvzB9Heu+BP/OXLGflpu2kSZ2aLwf1Yni/7mTNnCkh2hRCiGQlRQWF7/0HAO+cKB4/DcDOdRXOqzcSFhZO/24d+HJQL/LkypGQbQohRLKSooLi3r8TRb7/P1G8fBXIEs91LHZfw4tXgXRr24zxQ/tRpGD+xGhTCCGSlRQVFL73H5A5YwayZMoIQHBICB7rtrLQyRP/x09p1agOk0YMoFyp4oncqRBCJB8pLigK5M1NWFgY67btYY6DG3fu+VGn+ic4zf2R6pXLJ3aLQgiR7KSooLjr95BXQUG06DUcn+s3qVyuFLO+/YqGtarLxXJCCBFHKS4oHj15RokihVhs9R3tmtaXi+WEEOIDpaigGNqnGzmzZaV7+5aYm8tHjwohRHxIUUExekDPxG5BCCFSHHldRgghRIwkKIQQQsRIgkIIIUSMJCiEEELESIJCCCFEjCQohBBCxEiCQgghRIwkKIQQQsRIaa0Tu4f/oZR6CNyMp3K5AP94qhXfpLe4kd7iRnqLm+TSW1Gtdew+3tOgJBkU8UkpdVxrbZHYfURHeosb6S1upLe4kd7kpSchhBDvIUEhhBAiRh9DUDgmdgMxkN7iRnqLG+ktbj763lL8exRCCCE+zMcwUQghhPgAEhRCCCFilGyDQin1qVLqL6XUaaXUcaVUzcjtOZVSe5VSL5RSNjHsvypy39NKqRtKqdOR24sppQKj3Lc4EXqbrpTyjdJD2yj3TVVKXVVK+SilWiVCb7OVUpeUUmeUUuuVUtkityeF45ZDKbVTKXUl8mv2KPeZ5LjFtnZinG8Gekvw881Abwl+vhnozZTn27vOlzRKKWel1Fml1N9KqcYG94/bcdNaJ8s/gDfQJvJ2W2Bf5O2MQH1gOGATy1pzge8jbxcDziVmb8B0YEI02ysAfwNpgeLANcAsgXtrCZhH3rYGrJPQcZsFTIm8PSVKb6Y8boZrJ+D5FqveEul8i21viXG+xbY3k51vMZwvowDnyNt5gBNAKlOfb8l2ogA0kCXydlbgLoDW+qXW+iAQFJsiSikF9ABWJLXeotEJWKm1DtZa/wNcBWq+Z5947U1r7a21Do389i+gkMHnN1lvRBwf18jbrkDnKNtNctyM1k7I881ob9FI9OOWGOdbbHvDtOcbEO35UgHYDaC1fgA8Bd55wV18nW/J+TOzxwI7lFJziHgJrW4c6zQA/LTWV6JsK66UOgUEAN9prQ8kQm+jlVL9gePAeK31E6AgEX9Z/nUncltC9/avQcCqKN8n9nHLq7W+B6C1vqeUyhO53ZTHzWjthDzfjPSW0OdbXGon1PkW295Meb796+3z5W+gk1JqJVAYqB759Wgs94c4HLckHRRKqV1Avmju+hZoBnyttfZSSvUAlgHN4/A0vfj/aXsPKKK1fqSUqg5sUEpV1FoHJGBv9sDPRPwfz89EjI6DABXNY/9nfXNCHDel1LdAKOARuSkpHLd3thvNtvg6brGqHUVCnm+x7S0xzjdDxy2Bzzej/03/p93Y7B9Tb1rrjZG33z5fnIDyRAT6TeAQEcflXeJ0vv1v9x/wGl9i/gGe8d91IAoIeOv+AbznPQoigtIPKBTDY/YBFgndW5THFiPyNUVgKjA1yn07gDqJcNwsgcNAhqR03AAfIH/k7fyAj6mPm5HaCX2+xeXnTqjzzeBxS9DzLba9mfJ8M3C+HAIqmPp8S87vUdwFGkXebgpcieGx79IcuKS1vvPvBqVUbqWUWeTtEkBp4HpC9qaUyh/l2y7Aucjbm4CeSqm0Sqnikb29a+Q0VW+tgclAR631qyjbE/24EXF8LCNvWwIbo2w31XEzUjuhz7dY9ZZI51tse0uM8y22P7cpzzeI/nzJoJTKGHm7BRCqtb5gYP+4HTejKZdU/hCxCuYEEa/ZHQGqR7nvBvAYeEHE64MVIrcvJUp6Ai7A8LfqdgPOR9Y9CXRI6N4Ad+AscIaIky5/lP2/JWIVhQ+RKzYSuLerwG3gdOSfxUnouOUk4o2+K5FfcyTQcYu2dhI5397bWyKeb7HpLbHOt9j0ZrLzLYbzpVhkzYvALiJ+tbjJzzf5FR5CCCFilJxfehJCCJEAJCiEEELESIJCCCFEjCQohBBCxEiCQgghRIwkKIQQQsRIgkIIIUSM/g8aEo0aiJajFQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 1454 with population 1183362.391087745\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.05772 0.04914 1632.9159 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.21532 0.18331 45780.078 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.07479 0.06367 14044.6419 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 1454 with population 1179469.4487229437\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.05251 0.04471 1553.218 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.1959 0.16678 44548.6573 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.06805 0.05793 11462.8181 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 1454 with population 1175716.4293797056\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.04778 0.04068 1487.2436 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.17824 0.15175 43143.4128 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.06191 0.05271 9181.0177 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 1454 with population 1172293.3282999888\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.04347 0.03701 1432.6295 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.71631 1.5916 1121904.7553 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.16217 0.13806 41611.9395 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.05633 0.04796 7344.004 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 1454, giving up w pop 1172293.3282999888\n",
      "I am working on tract number 1460 of 5160 tracts\n",
      "loop no 9.0 for tract no 1479 with population 782613.7289650459\n",
      "loop no 10.0 for tract no 1479 with population 772462.8915118219\n",
      "I am working on tract number 1480 of 5160 tracts\n",
      "loop no 9.0 for tract no 1491 with population 899702.3752590606\n",
      "loop no 10.0 for tract no 1491 with population 678234.7204337466\n",
      "loop no 11.0 for tract no 1491 with population 721995.8314321522\n",
      "loop no 12.0 for tract no 1491 with population 784076.622148561\n",
      "loop no 13.0 for tract no 1491 with population 774884.8165653034\n",
      "loop no 9.0 for tract no 1497 with population 726970.3316061287\n",
      "loop no 10.0 for tract no 1497 with population 5125166.529939536\n",
      "loop no 11.0 for tract no 1497 with population 729612.0518380762\n",
      "loop no 12.0 for tract no 1497 with population 729647.4104778592\n",
      "loop no 13.0 for tract no 1497 with population 4596981.876394523\n",
      "loop no 14.0 for tract no 1497 with population 1315289.95079398\n",
      "loop no 15.0 for tract no 1497 with population 1250999.5392148765\n",
      "loop no 16.0 for tract no 1497 with population 1221886.7047013168\n",
      "loop no 17.0 for tract no 1497 with population 1195226.454598549\n",
      "loop no 18.0 for tract no 1497 with population 1151332.6134731781\n",
      "loop no 19.0 for tract no 1497 with population 1082532.943911398\n",
      "loop no 20.0 for tract no 1497 with population 980280.1685958692\n",
      "loop no 21.0 for tract no 1497 with population 950549.105737066\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.38592 0.33815 37107.4957 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.17952 0.15283 105989.5939 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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t9SOllBOQAvACigJLlVLZ9b9/coT3LxnuTxat9TRgGpimbozGJUREHj95yr6Dx8w3Tw9z5MQZQkJDcXR0wC1vLto0rIVXETeKuRckaWIXi8WRIH482jaqTaMvqzFryW9MnreMKo078HmlMvRo34ycWW2jr6i9GzR2C0+evsS3XzXDST4kJIweQ9aSOqULfTrZTmvAyDKU6JVSzpiS/AKt9Urz01eBlebEvk8pFQakAm6/NfQqkPmtjzMB16MctRDhePDoMfsOHDXPsR/m6KlzhIWF4ezkxKf5c9O+2Vd4e7jh6ZafxC7GqxNGF5dECfm2ZUOa1f2CqfOXM33hStZu3U2d6hXp2rYJrhnTx3hMccVO/wusWHuUzq1LkidHasPjZi7ez9FTfzNtZG2SJYlakxhrMnIzVgFzgXta6y5vPd8eyKC1HqCUyg1sAVzfvqI3X/WfBioC1zDdjG2ktT72vs8pN2OFEfcePDTNr5uv2E+cuYDWmvjxnClcMO+bFTGebvlImMD2vknv3n/AhDlLmLtsDaGhYTT8shqdWzcifZpU1g7Nrjx/8YqK9afj4OjA5kVtSBDf2ETGlesPKF9vOqWKZmX2mLo2v3LqfVM3RhJ9KWAXcATT8kqAvsBmYBbgDgRjmqPfqpTKgGkZZXXz+OrAz5iWV87SWg/9UMCS6EV4bt+9/+Zq3T/wMKfOm+7jJIgfnyJu+fA2J/bCBfOSIL5tF5l6241bdxg3cyGLfluHk5Mjzep+QacW9SN1A1hEbPiEbUyY48eyKY0p4ZnF0BitNU07L2HfwatsW9qOjOmi756NpUQp0VuDJHoBpgToH3QYv0BTcj936SoAiRImoOinBd7cPP20QG7iORvr7WnLLl+7wZjp81mxdgsJE8SnTcNafN2kLsmSxI5t9rbo+JlbVG0yk7rVCzHmh88Nj1u94Rjf9FvNj919aN2gqAUjjD6S6EWscPXG32+Sun/QES5eNd3OSeKSiKLuBU1X7EUKUShvLpztuEDYmQuXGTV1Hn9s3knypElo37QurRt8SaKECa0dWqwSGhpGzVbzuHz9AduXtTPcNer+w+eU+2oqmdIlY83s5jg6xo7dzdGy6kaI6KS15tK1G/gHHn6zQenqjb8BSJ40CcXcC9Ks7ud4F3GjQO4cODrGvrXLHytXNlemjujP0ZNn8Z0ylxETZzNj0So6tWhA0zqfx6ppKWuauyyQA8euM2FIzUi1Bhw6fiv3Hz5n4YSGsSbJf4hc0YsYobXm3KWr5qt1U62Ym7fuAJAyeTK8ChfCq4hp52m+nNmkRsxbAg4fZ+Sk2ewJOET6tKno0rox9WtUsevfaqLq2s1HlK83jaKfZmL++PqGb6T6BV6i7tcL6Njcm77fxq7llDJ1I2Kc1prT5y+9uVrfG3SEW3fvAZD6kxRvdpx6e7iRO3sWm1/RYAt27z/AyElzCDpygqyZMtC1XRO+rFI+Tv22Y4TWmlbdlrNz7wW2LW2Ha8bkhsa9eBlC5UYzeBUSxtYlbUmYIHbd95GpG2FxYWFhnDh7wbwi5gj+B45w78FDANKnTUWpYu4UL2y6Ys+RJZMk9o9QqmhhSs5yZ/PuvfhOnsN3A3yZMGcJPdo3p1r5kvJvarZu2yk27jzD950rGE7yABPm7OHcpXssnNAg1iX5D5ErevFRQkNDOXb6nPnm6RH2HTzKg0ePAciUPi3eRdzeLHd0zZhOklA0CwsL448tuxg1ZS7nLl2lUN6c9OzQgvIlisbpf+tHT15Qru40UqV0Ye28ljg5GZsCPH3+NpUbzeQLn/z8MriGhaO0DLmiF1H2KiTEVIs98Ah+QYfZf/Aoj5+aOihlzZSBquVKmJY7FnEjU/q0Vo7W/jk4OFDDpyzVy5dixbotjJ3+K00796eYe0EGd/+GgnlzWjtEqxg+YTu37z1l1ui6hpP869aALi7xGdi1ooUjtA5J9CJcwa9ecejY6TcblPYfOsaz5y8AyJElEzUql8O7iOmKXXZyWo+TkyP1v6hMrarlWbR6PWOm/UrH/sPZsXymtUOLcfsPXmHe8iDaNCyKe4EMhsctWHWA/YeuMnbg53ySwnI1j6xJEr0ATBUWDxw9+aacQODhE29qsefNkZWvPvcx3UAtXIg0qVJaOVrxrnjOzjSv+wVhoWH0/2ki5y9fI7ur8T6osV3wq1B6DltHxnRJ6dnBeGvAv+88Ydgv2yhZNAtffVbIghFalyT6OOr5ixcEHD7xZrnjgaMn39Riz5crG41rV8fboxDFCxciZfJk1g5XGORTxov+P01k004/vm5S19rhxJhJc/04ff4Oc3+uh0si4/sMBozayMvgkFjXGjCyJNHHEU+fPWf/oWOmqZjAwxw6fvpNLfaCeXLQ/Ksab2qxJ09qvCGDsC2Z0qclX85sbNq1N84k+nOX7jJ+1l984ZOPSqWM35vYuPMMf2w+Sa9vypLd1b5/S5VEb6cePXnKvoNH8TeXFDh88gyhoWGmWuz5ctO2UW28PNwo6l7AorXYRcyrWLo4k+ct5eHjJ3ZfJ0drTa9h64gfz4kfu/kYHvfk6Uv6jdxA3hypad/Uy4IR2gZJ9Hbi/sNH/6rFfuz0+Te12AsXzMs3zerjXaQQnm4FcEkkNVPsmU9pLybMXsz2PfupWSV27e6MrKW/H8Yv8DIj+1YjTSrjP9R8p+zkxq1HTB7eLFa2BowsSfSx1N37D96qxX6Ek2f/qcXuUTAfXVo3wquIGx4F85EwQXxrhytiUOECefgkRTI27fK360R/595Tfvx5C8XcM9HoS3fD4w4cvc6sxftpXrcInm6ZLBegDZFEH0vcunPvn1rsQUc4/VYtds9P89Pt66Z4e7jhXiB21WIX0c/R0ZGKpYqzcYcfISGhODnZ5xXrwDGbefosGN9+1Q23BnwVEkrPYWtJmzoJvTuWs2yANkQSvY26/vftfwqABR7h/GVTLXaXRAkp5l6AOtUrUrxwIT7Nbx+12EX0qlSqOEt/30jA4WN4ebhZO5xot23POVatP0bXtqXIlc34Po4ZC/dz/PQtZo6qQ5LEcec33Q8meqVUZmAekA5Th6lpWutxSqmBQFv+6RHbV2u9NpzxF4HHQCgQEtEW3bjuyvWb5hUxpumYS9duAJA0sQvFChekca1qeHm4UTBPTru9QhPRp6xXEeI5O7Npl7/dJfpnz4PpM2I9ObKkpFPLEobHXbp6n1FTd1K1XG6qlstjwQhtj5Er+hCgm9Y6SCmVBAhUSm0yvzZWaz3KwDHKa63vfHSUdkZrzcWr18212E2J/drNWwAkT5aE4u4FaVm/Jt4ebuTLlU2qE4pIS+ySCO8ibmza6c/3ndtZO5xoNXraLq5cf8iKaU2IH8/YpITWmj4j1uPk5MDgHpUtHKHt+eC/ktb6BnDD/PixUuoEEHe23EUDUy32K28KgPkHHebm7bsAfJIiGcULF6J9k7p4FXEjb46sUotdRAuf0l52t0v26MmbTF+4j8a13PHycDU8btX6Y+zwv8DQnpXJkNb2+79Gt0jN0SulsgKFgb1ASaCTUqoZEIDpqv9+OMM0sFEppYGpWutpUQvZ9oWFhXH6/CX8g0wFwPYeOMLtu6Z/mrSpUpprsZvqsefK5mrXO/KE9VQqXZz+P01k8y5/2jWuY+1woiw0NIweQ9eSMnmiSDUFuffgGT+M3oRHoYw0reNhwQhtl+FEr5RKDKwAumitHymlJgODMSXywcBooFU4Q0tqra8rpdIAm5RSJ7XWO8M5fjugHYCrq/Gf1LYgLCyM42cuvLl56h90hPsPHwGQIW1qShfzeFMALFvmDJLYRYzInCEdeXNkZZOdJPpZSwI4fOImk4Z9SfKkxveCDB63lUePX+Lbr5rdtAaMLEOJXinljCnJL9BarwTQWv/91uvTgT/CG6u1vm7++5ZSahVQDPhPojdf6U8DUz36yJ1GzAoJMddiN5cT2HfwKA8fPwEgc4a0VCpdHO8in+LtUYjMGaQWu7CeSmW8mDJvWazfJXv1xkN8J++gQskc1PDJZ3jc7v0XWfr7Yb5tWYJ8OdNYMELbZmTVjQJmAie01mPeej69ef4eoBZwNJyxLoCDeW7fBagM/BgtkcegVyEhHD5x5k05gX2HjvHkdS32zBmoXqHUm1rsGdPF3f9MwvbYwy5ZrTV9R25Aaxjeu6rhC6fnL17Ra9g6smZOQefWJS0cpW0zckVfEmgKHFFKHTQ/1xdoqJRyxzR1cxH4GkAplQGYobWuDqQFVpm/ME7AQq31+miM3yJeBgdz6Php883TwwQcPv6mFnuubK7UqlrB3MzajXSpP7FytEJErHCBPKRMnozNu/fG2kT/++YTbNl9lh/+V4lM6Y1XUh0/6y8uXrnP4kkN7a41YGQZWXWzGwjvR+h/1syb338dqG5+fB74NCoBxoQXL4MJOnLiTS32oCMnePEyGIB8ObNR/4sqeHkUwsujEKlSprBytEIYZ9olW4xNO/1j5S7ZB4+eM2DUJtzypaNVfeNbcE6evcWkuf589XkhShfLZsEIY4c4uTP22fPn79RiP0XwK1Mt9vy5stO49meUKOJGMfdCpEwe95ZiCfviU9qLZX9sipW7ZIf9so17D54xf1z9SLUG7DF0HUmTxGdAF/tsDRhZcSLRP3n6jP2Hjr0pAHbo2ClCQkNxcHCgUN6ctKxfEy+PQhRzl1rswv6U9SqCs5NTrNslu/fAZRasOsjXTYpTMG86w+PmrQgi6Mg1xv9Yg5TJE1kwwtjDLhP9w8dPTLXYzSUFjpwy1WJ3cnTk0wJ5aN+0LsULF6LopwVIIrXYhZ17vUt28669sWaX7MvgEHoOXUem9Mno/nVpw+Nu3HrM8AnbKFM8G7WrFbBghLGLXSX6aQtWsGLtFo6dPofWmnjOzhQumIdOLRrg5eGGp1s+EiWUWuwi7vEp7cX3oyZx4co1smW2/V2yE+f4cfbiXX4dV59ECSPRGvCnjYSEhDGij/HVOXGBXSX6rX/t4+ipswB83aQuPdo3l1rsQmDqJfv9qEls2mn7m6fOXLjDL7P38GWV/FQomcPwuPXbT7F22yn6dipPlkyyaOJtdrVNbMEvwxj/Y0+yZEzP1PnLqf9NL3bvP2DtsISwurd3ydqysDBTa8BECZ0Z2LWS4XGPn7ykn+9G8uVKQ7smxSwYYexkV4ne0dGROtUrsWPFTHz7deH637eo36EX9Tr0JODwcWuHJ4RVVSpdnH0H/tnFbYsWrznE3gNX+L5zRVJ/Ynwn78hJ2/n79mN+6lcd51i2hDQm2FWif83ZyYnGtaqze+UcBnXrwKlzF6nZqgvNunzP0VPnrB2eEFZRqbQXIaGhbPcLsHYo4bp15wlDxm3F28OV+jWMrw4KPHKNOcsCaVXfk8IFM1gwwtjLLhP9awnix6NNw1rs+W0uvTu2JODQMao07sDXvYdw9uJla4cnRIzyKJjXtEvWRqdvfhi9iecvXjGibzXDN1JfhYTSc8ha0qVJQs8OZS0cYexl14n+NZdECfm2ZUP81syjc+tGbNuzn/L12tFl4E9cvnbjwwcQwg683iW79a/9hISEWjucf9m8+yxrNp3gu9YlyZnVeFmRKb/u5eS52wzrVZXELrLwIiJxItG/lixJYnp2aIHf6rm0bVSb3zftoHTtVvQePp4bt6QBlrB/lUoV58GjxwQesZ17Vk+fBdN3xHpyZ09Fx+behsdduHKPn2fspnqFPFQuk8uCEcZ+cSrRv/ZJiuQM6NKO3avm0KhWNRb9to5StVowaOxU7t5/YO3whLCYN7tkd9rO9M1PU3Zy7eYjfPtWI56zsRupWmt6D1+Ps5NjnGwNGFlxMtG/lj5NKob3/o5dK2fxhU9ZZixahXfN5vhOnmPTKxOE+FhJEruYesnayDz94RM3mLl4P03rFKaoe2bD45b/eZTd+y7S99vypEstZUs+JE4n+tdcM6bn54E92LpkGhVKFmPczIV412jGL7MX8fTZc2uHJ0S08intxdmLV7hw5ZpV4wgJCaPHkLWkTulCn07GSyjfvf+UQWM34+mWiSa1C1swQvshif4tubK5MmV4PzYsmExR9wKMmDibEl82Z/rClW/KFgsR21UqXRyAzbv2WjWOGYv3c/TU3/zY3YdkSRIYHjdo7BaePDW1BnRwkDIHRkiiD0fBPDmYO3Ywq2f9TJ4cWRk4Zgqlardg/so/eRUSYu3whIgS14zpyZM9i1Wnby5fe8CoKTvxKZ2LzyrmNTxup/8FVqw9SscW3uTJkdqCEdoXSfTv4emWn6WTfVkyeSTp06Sm17BxlKvbhhVrNxMaalvL04SIDJ8yXuwNOsKjJ09j/HObWgOux8FBMbRXlUi1Buw9fB3ZXVPybcu43Rowsj6Y6JVSmZVS25RSJ5RSx5RSnc3PD1RKXVNKHTT/qR7B+KpKqVNKqbNKqd7RfQIxoVTRwqyZ9TNzfx6MS6KEfDfAl0oN27N26260tuk+5kKE6/Uu2W179sf451694Tjb9pyn1zdlyZjOeGOfn2fs5tK1B4zsW40E8e2qHqPFGbmiDwG6aa3zAV5AR6VUfvNrY7XW7uY//2ktqJRyBCYC1YD8mPrM5n/3fbGBUopKpYqzfv5EpozoT1hYGG17/ki1ph3Z+tc+SfgiVvlnl2zMztPff/icAaM34Z4/PS2+KmJ43PEzt5j8qz8NanxKCc8sFozQPn0w0Wutb2itg8yPHwMnAKMFrYsBZ7XW57XWwcBioObHBmsLHBwc+KJSGbYsnsbYgd158OgxTTv3p3bbbvgFHrZ2eEIY4ujoSIWSRdm6Z1+M7pIdOn4rDx49x7d/dRwdjc0ch4aG0XPIWpInTUj/zhUsHKF9itQcvVIqK1AYeH0Z0EkpdVgpNUspFV4B6IzAlbc+vkoEPySUUu2UUgFKqYDbt29HJiyrcHJypN7nldm5YhbDen/L5Ws3qPt1dxp27M2BoyetHZ4QH+RT2osHD2Nul+yegEssWn2I9k28KJA7reFxc5cFcuDYdX7s5kOKZNI46GMYTvRKqcTACqCL1voRMBnIAbgDN4DR4Q0L57lw5zi01tO01p5aa8/UqWPP3fR4zs40r/sFu1fNYUCXdhw9dY7PW3xHq24/cPzMeWuHJ0SEYnKX7IuXIfQatg7XjMn5X9tShsddu/mIEZN2UL5EdmpWiZWzvjbBUKJXSjljSvILtNYrAbTWf2utQ7XWYcB0TNM077oKvL3dLRNwPWoh26aECeLzdZO6+K2eS4/2zfELPEzlRh34pu8wzl26au3whPiPJIld8PIoxObdlp+n/2X2X5y/fI8RfaqSMIGzoTFaa/r7biAsTDOsl7QGjAojq24UMBM4obUe89bz6d96Wy3gaDjD9wO5lFLZlFLxgAbAmqiFbNsSuySiS5vG7Fk9l44t6rNxpx/l67Wh24+juXrjb2uHJ8S/+JTx4syFy1y8arnrr1PnbjNxjh+1qxWkrFd2w+PWbTvFxp1n6P51aVwzJrdYfHGBkSv6kkBToMI7Syl9lVJHlFKHgfLA/wCUUhmUUmsBtNYhQCdgA6abuEu11scscSK2JkWypPTp2Aq/1fNoWa8mq9ZvpVStlvT3ncjfd+5aOzwhAKhUygvAYtM3YWGankPX4eISn4FdKxoe9+jJC/r7bqRA7rS0aSitAaNK2eKyQE9PTx0QYJtdcD7WtZu3GDdzIUvWbMDJyYmW9WrwTfP6pExufB2xEJZQvl5bUn+SgqWTfaP92POWB9FnxHrGDvycep8b7xrVZ8R65q88wB9zWvBp/vQfHiBQSgVqrT3De012xsaQjOnS4NuvCztWzKR6hVJMmb8c75rNGD11Ho+tsDtRiNd8Sltml+zN248Z9ss2ShbNwlefFTI8bv/BK8xbHkTrBkUlyUcTSfQxLGumDPwyuBdbFk+lTDEPxkyfj1fNZkyau5TnL15YOzwRB/lYqJfsgFGbCH4Vwog+xlsDBr8KpeewdWRMl5Qe7ctEazxxmSR6K8mTIyvTfxrAul8n4FEgL0N/mUGJmi2YvWQ1L4OlUqaIOR6F8pIiWdJonaffuOM0f245SZc2pcjumtLwuElz/Th9/g7De1fFJVG8aIsnrpNEb2Vu+XLz6/ihrJoxhhxZMtH/p4mUrt2KRb+ts7m+nsI+mXbJFou2XbJPnr6kr+8G8uZITfumXobHnbt0l/Gz/qKGTz4qlsoZ5TjEPyTR24hi7gVZNvUnFk0YTuqUKeg+ZCzl6rXht/XbCAsLs3Z4ws75lIm+XbK+k3dw89ZjRvaLXGvAXsPWkSC+M4O6+UQ5BvFvkuhtiFKKMl5F+GPueGaNGkiCePHo2H84lRt1YMP2PVI4TVhMOfMu2agWOTtw9DqzlgTQvG4RPN0yGR639PfD+AVept935UmTKnGUYhD/JYneBimlqFKuBBsXTmbS0D68CA6mVfeBfN78O3b4B0jCF9Hu9S7ZqDQjeRUSSo+ha0mbOgm9O5YzPO7Ovaf8+PMWihfOTMOa7h/9+UXEJNHbMAcHB2pWKc/2pTMY/X1Xbt+7T6NOfan7dXf2HQxvI7IQH69S6ajtkp2+YB8nztxiaM/KJEkc3/C4gWM28+z5K0b2ldaAliKJPhZwcnKkQc2q7Fo5iyE9OnL+0jVqtelKk+/6cvjEaWuHJ+yET+mP3yV78ep9Rk/bRdVyualaLo/hcdv2nGPV+mN827IEubKlivTnFcZIoo9F4seLR8v6Ndmzeg79v2vDgWOnqNa0E217/MipcxetHZ6I5bJkSk/u7FkiXeRMa02f4etxcnJgcI/Khsc9ex5MnxHryZn1Ezq28I5suCISJNHHQgkTJKBDs3r4r55Ht3ZN2bkviIoNvubb70dw4co1a4cnYjGf0l74Bx6O1C7ZleuOsXPvBfp0LEeGtMZLeoyZtpsr1x/i268a8eNJa0BLkkQfiyVJ7ELXdk3xWz2PDk2/Yu3WvyhbtzU9h47l2s1b1g5PxEKVSheP1C7Zew+eMXDMJjwKZaRpHQ/Dn+foyZtMW7iXxrXcKV7Y9WPDFQZJorcDKZMnpd93bdizeg7N637Bsj82U6pWSwaMnsztu/etHZ6IRYoUyhepXbI//ryFR49f4tuvWqRaA/YYupaUyRPR99vyUQlXGCSJ3o6kTfUJg3t0ZNfKWdSpXpE5S1fjXbMZwyfM5P7DR9YOT8QCb++SDQ19/y7Z3fsvsuyPI3Ro5kW+nGkMf45ZSwI4fOImP3b3IXlSaQ0YEyTR26FM6dMy6vuubFs6gyplSzBx7lK8azRj7Iz5PHn6zNrhCRv3zy7ZExG+5/mLV/Qato6smVPQuXVJw8e+dvMhvpN3ULFUTr6olC86whUGSKK3YzmyZGLi0D5sWjSFEp6fMmrKPLxrNmfK/OU8f/HS2uEJG1XWqwhOjo7vnb4ZN/MvLl65H+nWgH1GbABgWK8q0howBkmijwPy5czGrNGD+GPOeArlzcngn6dRqlYL5i7/neBXr6wdnrAxSRO74FXELcJdsifO3mLyPH+++rwQpYtlM3zcP7acZMvus/RoX5ZM6ZNFV7jCACM9YzMrpbYppU4opY4ppTq/83p3pZRWSoW720EpddHccvCgUsq+2kbFMoUL5mXhhOGsmDYK14zp6TviF8rUacWS3zdKpUzxLz4R7JINDQ2jx5C1JE0SnwFdjLcGfPDoOd//tBG3fOloVT/cJkjCgoxc0YcA3bTW+QAvoKNSKj+YfggAPsDlDxyjvNbaPaI2VyJmeXm4sXL6aOaPH0qKZEnpOmgUFeq3Zc2mHVIpUwCmZZbAf4qc/boiiANHrzOwqw8pkycyfLxhv2zj3oNn/NSvOk5OMpEQ0z74L661vqG1DjI/foypyXdG88tjgZ6AVNmKZZRSlC9RlLXzJjDddwCOjo506DOUKk2+YdMufymcFsdlzZSBXNlc/zV9c+PWY4ZP3E6Z4tmoXa2A4WPtPXCZBasO0rZRMQrmTWeJcMUHROpHq1IqK1AY2KuUqgFc01of+sAwDWxUSgUqpdq959jtlFIBSqmA27dvRyYsEQVKKapXKMXmRVP4ZXAvnj17QYv/DaBGqy7s2nfA2uEJK3p3l+z3P20gJCSMEX2qGr6R+jI4hJ5D15E5QzK6tSttyXDFexhO9EqpxMAKoAum6Zx+wAADQ0tqrT2AapimfcJtBKm1nqa19tRae6ZOndpoWCKaODo6UrtaRbYvn4Fvvy7cuHWbBt/04qv2PQg4HPVmFCL28Slj6iW7wz+QddtOsW7babq1K02WTCkMH2PiHD/OXrzL8N5VSZRQWgNaizLyK7pSyhn4A9igtR6jlCoEbAFeL8rOBFwHimmtb77nOAOBJ1rrUe/7fJ6enjogQO7bWtOLl8HMX/knv8xexJ17D6hYqjg9O7SgYJ4c1g5NxJDQ0FDcKtejTLFi7DuYkBTJE7Hu15Y4OxnrGnX24h18Gs7ks4p5mTCkpoWjFUqpwIjugxpZdaOAmcAJrfUYAK31Ea11Gq11Vq11VuAq4PFukldKuSilkrx+DFQGpJB6LJAgfjzaNKzFnt/m0rtjSwIOHaNK4w583XsIZy586N67sAeOjo5UKFGM9dtvcfP2E37qV91wkg8L0/Qcuo5ECZ0Z2LWShSMVH2Jk6qYk0BSoYF4ieVApVT2iNyulMiil1po/TAvsVkodAvYBf2qt10c5ahFjXBIl5NuWDfFbM48ubRqzbc9+KtRvR+cffLl09Ya1wxMWFhqWieBXn5DdNRmFC2YwPG7xmkPsPXCF7ztXJFVKFwtGKIwwNHUT02Tqxnbdvf+AiXOXMnfZGkJCQmn4ZTU6t25E+jTSNMIeHTt9ncqN5lAwT0I2LPifoTG37jyh3FfTyJ87DcumNJYdsDEkSlM3QrztkxTJGdClHbtXzaFRrWosXr2eUrVaMGjsVO7ef2Dt8EQ0K5A7A8mShnD6/EPDY34YvYkXL02tASXJ2wZJ9OKjpE+TiuG9v2PnipnUqFyOGYtW4V2zOb6T5/Dw8RNrhyeikZdHBoJfxWNPwIfbVm7ZfZY1m07wXauS5MjySQxEJ4yQRC+ixDVjesb+0J1tS6dRoWQxxs1ciHeNZoyftYinz55bOzwRDVrVLwXAzCW73vu+p8+C6TtyA7mzp+Kb5tIa0JZIohfRImdWV6YM78eGBZMp6l6AkZNmU+LL5kxfuJIXL4OtHZ6IglJF8+LsHIx/4NX3vm/U1J1cvfEQ377ViOdsbHWOiBmS6EW0KpgnB3PHDmb1rJ/JmzMbA8dMoVTtFsxf+SevQkKsHZ74SAVyJ+fBI0du/H0v3NcPn7jBjEX7aVqnMEXdM8dwdOJDJNELi/B0y8+SSSNZOsWXDGnT0GvYOMrWac3yPzd/sHORsD11q7sDDkxdsP0/r4WEmCpapk7pQp9O0hrQFkmiFxZV0tOd1TPHMvfnwSR2SUTnH3yp1LA9f27ZJYXTYpGGNUuiVAgbdpz6z2szFu/n6Km/GdyjMsmSJLBCdOJDJNELi1NKUalUcdbPn8iUEf0JCwujXa/BVGvaka1/7ZOEHwskSOBMpvTOXLn+iuDgf5rVXL72gFFTdlK5TC6qV8hjxQjF+0iiFzHGwcGBLyqVYeuSafw8sAcPHz+haef+1GrTlT0BHyqCKqytctlcaO3E4tV+gKk1YN+R63FwUAzpKa0BbZkkehHjHB0d+epzH3Ysn8nw3t9x5fpNvmrfgwbf9OLA0ZPWDk9E4OvGFYAwlv0ZBMCajcfZtuc8vb8pS8Z0Sa0bnHgvSfTCauI5O9Os7ufsXjWHAV3acez0eT5v8R0tu/7A8TPnrR2eeEfGdClJliSUo6cecP/hcwaM3kThAhlo/lURa4cmPkASvbC6hAni83WTuvitnkuP9s3xDzpM5UYd+KbvMM5evGLt8MRbvDwyEvwqHq27L+X+w+eM7FcNR0dJI7ZOvkLCZiR2SUSXNo3xWzOPTi0asGmXP+XrtaXroNFcvfG3tcMTQKsGpl2yew9co30TLwrkTmvliIQRUr1S2Kw79+7zy+zF/LriD8LCNI1rVee71g1Jm0pqqFhTNu+BODg4cnRLbxImcLZ2OMJMqleKWClVyhQM6taBXStnU++Lysxf+SclarZgyLjp3HvwyNrhxVn1Pk9HSEggISFS2iK2kEQvbF7GdGnw7deFHStmUr1CKabMX453zWaMmjrvTeNqEXNqVy9JSOgzdvgHWjsUYZAkehFrZM2UgV8G92LrkmmUKe7B2Onz8a7ZjIlzlvDsuVTKjClFCuUnebIkbNrlb+1QhEFGesZmVkptU0qdUEodU0p1fuf17koprZQKt8WQUqqqUuqUUuqsUqp3dAUu4q7c2bMw3XcA636dgEeBvAybMJMSX7Zg1uLfeBks0wmW5uTkSIUSRdn6136pWxRLGLmiDwG6aa3zAV5AR6VUfjD9EAB8gHC7RSulHIGJQDUgP9Dw9VghosotX25+HT+UVTPGkDNLZr4fNYnStVux6Ld1hIRIArKkSqW9uPfgIUFHZINbbPDBRK+1vqG1DjI/fgycADKaXx4L9AQiWrpTDDirtT6vtQ4GFgM1oxy1EG8p5l6QZVN/YtGE4aT5JAXdh4yl7FetWbV+K2FhYdYOzy6VL1EUJ0dHNu+W6ZvYIFJz9EqprEBhYK9SqgZwTWv9viIlGYG3d7xc5Z8fEu8eu51SKkApFXD79u3IhCUESinKeBXh9znjmT16EAnjx6dT/xH4NGzP+u1/SeG0aJY0sQvFPQqxaack+tjAcKJXSiUGVgBdME3n9AMGfGhYOM+F+x2ntZ6mtfbUWnumTp3aaFhC/ItSisplvdm4cDKThvbh5atXtO4+iM+bf8cO/wBJ+NGoUqninDp/icvXblg7FPEBhhK9UsoZU5JfoLVeCeQAsgGHlFIXgUxAkFIq3TtDrwJvt5vJBFyPatBCfIiDgwM1q5Rn+9IZjP6+K7fv3adRp77UadeNvQeOWDs8u+BTxgtAVt/EAkZW3ShgJnBCaz0GQGt9RGudRmudVWudFVNC99Ba33xn+H4gl1Iqm1IqHtAAWBOtZyDEezg5OdKgZlV2rZzF0J6duHD5OrXbdqPxt305dPy0tcOL1bJlzkjOrJnZvGuvtUMRH2Dkir4k0BSooJQ6aP5TPaI3K6UyKKXWAmitQ4BOwAZMN3GXaq2PRUPcQkRK/HjxaFGvBntWz6H/d204ePwU1Zt1ok2PQZw6d9Ha4cVaPqW98As8zGPZuGbTpNaNiJMeP3nK9IUrmbpgBU+fPadW1fJ0bdeUbJnDXSsgIuAfdJg67bozdUR/Pq9UxtrhxGlS60aIdyRJ7ELXdk3xWz2PDk2/Yu3WvyhbtzU9hozl2s1b1g4v1vB0K0DypLJL1tZJohdxWsrkSen3XRv8Vs+led0vWP7nZkrVasmAUZO4ffe+tcOzeU5OjlQoKbtkbZ0keiGANKlSMrhHR3atnEWd6hWZs2wN3jWbMXzCTO4/lEqZ7/Nml6y0gbRZkuiFeEum9GkZ9X1Xti2dQZWyJZg4dyneNZoxdvp8njx9Zu3wbFI5b0/TLlmZvrFZkuiFCEeOLJmYOLQPmxZNoWRRd0ZNnYdXjWZM+XUZz1+8tHZ4NiVZksQUK1xQdsnaMEn0QrxHvpzZmDlqIH/O/QW3fLkYPG46Jb9szpxlawh+9cra4dkMn9JeskvWhkmiF8IA9wJ5WDhhOCumjSJLpgz0GzmB0rVbsWTNBqmUyT+7ZGXzlG2SRC9EJHh5uLFy+mjmjx9KyuRJ6frjaCrUb8vqjdvjdKXMbJkzkiNLJllmaaMk0QsRSUopypcoytp5E5jx0wCcHB35pu8wqjT5ho07/eJs4TSfMrJL1lZJohfiIymlqFa+FJsWTeGXwb149uwFLbv+QI1WXdi174C1w4txPqW9eBUSws69QdYORbxDEr0QUeTo6EjtahXZvnwGvv26cOPWbRp804uv2vdg/6G4U9pJdsnaLkn0QkQTZycnGteqzu6VcxjUrQOnz1/iy9b/o2nn/hw9edba4Vmck5Mj5Ut4smX3Ptkla2Mk0QsRzRLEj0ebhrXwWz2XPp1aEXTkBFWafEO7XoM5cyHc9sp2w0d2ydokSfRCWEiihAnp1KIBe1bPpUubxmz3C6BC/XZ0/sGXS1ftc715uTe9ZGWZpS2RRC+EhSVLkpge7Zvjt3oubRvV5o/NOylTpxW9ho3jxq071g4vWr3eJbtZdsnaFEn0QsSQT1IkZ0CXdvz121wa1arGkjUbKPllcwaOmcLd+w+sHV60qVSqOCfPXeTK9XcbzglrkUQvRAxLl/oThvf+jp0rZlKzSnlmLv4NrxrNGDlpNg8fP7F2eFHmU8YbQGrf2BAjPWMzK6W2KaVOKKWOKaU6m58frJQ6bG4tuFEplSGC8ReVUkfM75O2UUKYuWZMz9gfurNt6TQqlirO+FmL8K7RjPGzFvH02XNrh/fRsruadsnKPL3tMHJFHwJ001rnA7yAjkqp/MBPWms3rbU78Acw4D3HKK+1do+ozZUQcVnOrK5MGd6PDQsmU9S9ACMnzca7ZjOmLVjBi5fB1g7vo7zeJSulnW3DBxO91vqG1jrI/PgxpibfGbXWb3djcAHi5r5vIaJJwTw5mDt2MGtmjyNfruwMGjuVkrVa8OuKP3gVEmLt8CKlUikvgl+9Yod/oLVDEURyjl4plRUoDOw1fzxUKXUFaEzEV/Qa2KiUClRKtXvPsdsppQKUUgG3b9+OTFhC2JUihfKxZNJIlk7xJWO6NPQePp6ydVqz/M/NsWYjUtFPZZesLTGc6JVSiYEVQJfXV/Na635a68zAAqBTBENLaq09gGqYpn3CbRWvtZ6mtfbUWnumTp06UichhD0q6enO6pljmfvzYBK7JKLzD75UbPA1f2zeafOVMl/vkt36l+yStQWGEr1SyhlTkl+gtV4ZzlsWAnXCG6u1vm7++xawCij2caEKEfcopahUqjjr509kyoj+aK35uvcQqjXtxJbd+2y6UqZPaS/u3n/IgWOnrB1KnGdk1Y0CZgIntNZj3no+11tvqwH8Z8+zUspFKZXk9WOgMnA0qkELEdc4ODjwRaUybF0yjZ8H9uDRkyc069KfL1v/jz0Bh6wdXrjKenvi6Ogg0zc2wMgVfUmgKVDBvETyoFKqOjBCKXVUKXUYUwJ/vewyg1JqrXlsWmC3UuoQsA/4U2u9PvpPQ4i4wdHRka8+92HH8pkM7/0dV2/8zVfte9Dgm14EHT1h7fD+JXnSJBRzLyS7ZG2AssVf/Tw9PXVAgCy5F+JDnr94ybzlvzNhzhLuPXiIT2kven7Tgvy5sls7NACmzl/Ojz9Pw3/NPDJnSGftcOyaUiowoiXssjNWiFgsYYL4fN2kLn6r59KjfXP2HjiCT8P2dOgzlLMXr1g7vDe7ZKWXrHVJohfCDiR2SUSXNo3xWzOPb1s2ZPPuvZSv15aug0ZbteZMdteMZHeVXrLWJoleCDuSPGkSendsid/qubSqX5PfNmyldO1W9Bs5gb/v3LVKTLJL1vok0Qthh1KlTMGgbh3YvWoO9b6ozPyVf1KiZnMGj5vGvQcPYzQWn9KmXbLSS9Z6JNELYccypE2Nb78u7Fgxk88qlmHq/BV412zOqKnzePTkaYzEUPTTAiRLklimb6xIEr0QcUDWTBkY/2NPti6ZRpniHoydPh/vGs2YOGcJz55btlKmaZdsUbbs3iu7ZK1EEr0QcUju7FmY7juA9fMn4lEwL8MmzKTEly2Ytfg3XgZbrlKm7JK1Lkn0QsRBhfLm4tfxQ/ltxlhyZsnM96MmUapWSxb+ts4ilTLLlTDtkpVlltYhiV6IOKyoewGWTf2JRROGkzZVSnoMGUu5r9qwav3WaC2c9maXrMzTW4UkeiHiOKUUZbyK8Puc8cwePYiECRLQqf8IfBq2Z/32v6KtcFql0sU5cfYCV2/8HS3HE8ZJohdCAKaEX7msNxsXTGLS0D4EvwqhdfdBfNb8W7b7BUQ54fuU9gKkl6w1SKIXQvyLg4MDNauUZ9vS6Yz+vit37j2g8bd9qdOuG3sPHPno4+bIkonsrtJL1hok0QshwuXk5EiDmlXZtXIWQ3t24sLl69Ru243G3/bl0PHTH3XMSqWLsyfgkOySjWGS6IUQ7xU/Xjxa1KvBntVz6P9dGw4eP0X1Zp1o02MQJ89eiNSxZJesdUiiF0IYkjBBAjo0q4f/6nl0a9eUXfsOUKlhezr1H86FK9cMHaOou+yStQZJ9EKISEmS2IWu7Zrit3oeHZp+xbpteyhbtzU9hozl2s1b7x3r7OT0Zpesrfe9tSdGWglmVkptU0qdUEodU0q97iQ1WCl12NxxaqNSKkME46sqpU4ppc4qpXpH9wkIIawjZfKk9PuuDX6r59K87hcs/3MzpWq1ZMCoSdy+ez/CcZVKF5ddsjHMyBV9CNBNa50P8AI6KqXyAz9prd201u7AH8CAdwcqpRyBiUA1ID/Q0DxWCGEn0qRKyeAeHdm9ajZ1qldkzrI1eNdsxrBfZnL/4aP/vL98iaKmXrKyzDLGfDDRa61vaK2DzI8fAyeAjFrrt7+CLkB4i2yLAWe11ue11sHAYqBm1MMWQtiajOnSMOr7rmxfNpMqZUswad5SvGs0Y+z0+Tx+q1Jm8qRJKPZpQdklG4MiNUevlMoKFAb2mj8eqpS6AjQmnCt6ICPwdj+zq+bnhBB2KrtrRiYO7cOmRVMoWdSdUVPn4V2zOVN+XcbzFy8BqFTGS3bJxiDDiV4plRhYAXR5fTWvte6ntc4MLAA6hTcsnOfC3V6nlGqnlApQSgXcvn3baFhCCBuVL2c2Zo4ayJ9zf8EtXy4Gj5tOyS+bM2fpGsp6FQGkl2xMMZTolVLOmJL8Aq31ynDeshCoE87zV4HMb32cCbge3ufQWk/TWntqrT1Tp05tJCwhRCzgXiAPCycMZ8W0UWTJlIF+vhNo8b8BODs5yTLLGGJk1Y0CZgIntNZj3no+11tvqwGcDGf4fiCXUiqbUioe0ABYE7WQhRCxkZeHGyunj2b++KGkTJ6UVyEh7Ak4xIuXlquDL0ycDLynJNAUOKKUOmh+ri/QWimVBwgDLgHtAczLLGdoratrrUOUUp2ADYAjMEtrfSyaz0EIEUsopShfoijlvD1Zv/0v9h86jrOTo7XDsnsqukqQRidPT08dEBBg7TCEECLWUEoFaq09w3tNdsYKIYSdk0QvhBB2ThK9EELYOUn0Qghh5yTRCyGEnZNEL4QQdk4SvRBC2DlJ9EIIYedscsOUUuo2pt220SEVcCeajmWr5Bztg5yjfbDWOWbRWodbKMwmE310UkoFRLRbzF7IOdoHOUf7YIvnKFM3Qghh5yTRCyGEnYsLiX6atQOIAXKO9kHO0T7Y3Dna/Ry9EELEdXHhil4IIeI0SfRCCGHn7DbRK6XclVL+SqmD5qbjxczPZ1VKPTc/f1ApNcXasX6siM7xrdddlVJPlFLdrRVjVL3n61jsra/hIaVULWvH+rHec44+SqlApdQR898VrB3rx3rPOX6ilNpm/n86wdpxRsX7vh+VUn2UUmeVUqeUUlViPDittV3+ATYC1cyPqwPbzY+zAketHZ8lz/Gt11cAy4Du1o7VAl/HRICT+XF64Nbrj2Pbn/ecY2Egg/lxQeCatWO1wDm6AKUwtSKdYO04LXSO+YFDQHwgG3AOcIzJ2Oz2ih7QQFLz42TAdSvGYikRnqNS6kvgPBDbe/SGe45a62da6xDz8wnM74utIjrHA1rr11/TY0ACpVR8K8QXHSI6x6da693AC2sFFo0i+n6sCSzWWr/UWl8AzgLFwhlvMUaag8dWXYANSqlRmKaoSrz1Wjal1AHgEdBfa73LCvFFhy6Ec45KKRegF+ADxNppG7MuRPB1VEoVB2YBWYCmbyX+2KYLEf9ffa0OcEBr/TImA4tGXfjwOcZ2XQj/HDMC/m+976r5uRgTqxO9UmozkC6cl/oBFYH/aa1XKKXqATOBSsANwFVrfVcpVQT4TSlVQGv9KMYCj4SPPMdBwFit9ROlVMwF+5E+8hzRWu8FCiil8gFzlVLrtNY2eWX4sedoHlsAGAlUjolYP1ZUzjG2+MhzDO+bMEZ/A7XbdfRKqYdAcq21VqZs91BrnTSc923HNIcdENMxRlVE56iU2gVkNr8tORAGDNBax7qbXZH4Om4DetjT19H8WiZgK9BSa/2XNeOMig99HZVSLQBPrXUna8UYVe/5fuwDoLUebn7fBmCg1tovpmKz5zn660BZ8+MKwBkApVRqpZSj+XF2IBemuezYKNxz1FqX1lpn1VpnBX4GhsXGJG8W0dcxm1LKyfw4C5AHuGiNAKNBROeYHPgT6BObk7xZuOdoZyI6xzVAA6VUfKVUNkw5Z19MBharp24+oC0wzpwMXgDtzM+XAX5USoUAoUB7rfU9K8UYVRGdoz2J6BxLAb2VUq8w/cbyjdY6tpa/jegcOwE5ge+VUt+bn6ustb5lhRijKsL/q0qpi5huYsYzLyKorLU+bo0goyjcc9RaH1NKLQWOAyFAR611aEwGZrdTN0IIIUzseepGCCEEkuiFEMLuSaIXQgg7J4leCCHsnCR6IYSwc5LohRDCzkmiF0IIO/d/j3yEDFxUS28AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 1497 with population 907923.0217319137\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.32093 0.22345 8821.5776 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.16333 0.13906 91649.4281 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 1497 with population 889958.6509299366\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.28858 0.24005 6327.6818 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.14861 0.12652 76178.953 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 1497 with population 875640.8287751963\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.26256 0.22353 4706.0274 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.13521 0.11511 63482.7853 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 1497 with population 863258.162363953\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.23889 0.20338 2685.7646 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.12302 0.10473 53120.3816 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 1497 with population 854447.6803269589\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.21735 0.18504 1585.8241 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.11193 0.09529 45409.8401 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 1497 with population 848086.1432046659\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.19775 0.16836 1436.0173 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.10184 0.0867 39198.1098 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 1497 with population 842575.0743711643\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.17992 0.15318 1370.0125 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.09265 0.07888 33753.0457 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 1497 with population 836565.8649490153\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.1637 0.13937 1337.1715 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.0843 0.07177 27776.6773 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 1497 with population 831066.5123458833\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.14894 0.1268 1334.0764 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.0767 0.0653 22280.4198 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 1497 with population 826449.7079291432\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.13551 0.11537 1334.0764 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.38434 4.10999 7463.9787 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.85497 1.52254 799988.0374 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.06978 0.05941 17663.6154 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 1497, giving up w pop 826449.7079291432\n",
      "loop no 9.0 for tract no 1498 with population 751040.2397832667\n",
      "loop no 10.0 for tract no 1498 with population 763423.3435481733\n",
      "loop no 9.0 for tract no 1499 with population 769136.1833471986\n",
      "I am working on tract number 1500 of 5160 tracts\n",
      "loop no 9.0 for tract no 1501 with population 773765.267906873\n",
      "loop no 9.0 for tract no 1515 with population 690139.4657483659\n",
      "loop no 10.0 for tract no 1515 with population 966749.7621968627\n",
      "loop no 11.0 for tract no 1515 with population 788138.2560568803\n",
      "loop no 12.0 for tract no 1515 with population 780141.1869390492\n",
      "loop no 13.0 for tract no 1515 with population 774582.3320353096\n",
      "loop no 9.0 for tract no 1518 with population 753549.1109337914\n",
      "loop no 10.0 for tract no 1518 with population 771666.7005961781\n",
      "I am working on tract number 1520 of 5160 tracts\n",
      "loop no 9.0 for tract no 1523 with population 773577.3655914101\n",
      "loop no 9.0 for tract no 1524 with population 768319.8705779469\n",
      "loop no 9.0 for tract no 1535 with population 2186055.4711738788\n",
      "loop no 10.0 for tract no 1535 with population 748013.2115931379\n",
      "loop no 11.0 for tract no 1535 with population 748091.8872002425\n",
      "loop no 12.0 for tract no 1535 with population 1644261.5754477987\n",
      "loop no 13.0 for tract no 1535 with population 810118.0969743434\n",
      "loop no 14.0 for tract no 1535 with population 805558.1350151419\n",
      "loop no 15.0 for tract no 1535 with population 789925.7181732939\n",
      "loop no 16.0 for tract no 1535 with population 781599.0477547891\n",
      "loop no 17.0 for tract no 1535 with population 776625.1628873205\n",
      "loop no 9.0 for tract no 1538 with population 687717.4400830928\n",
      "loop no 10.0 for tract no 1538 with population 726302.9377918027\n",
      "loop no 11.0 for tract no 1538 with population 792849.0543664738\n",
      "loop no 12.0 for tract no 1538 with population 776132.7183005282\n",
      "loop no 9.0 for tract no 1539 with population 763835.7695544208\n",
      "I am working on tract number 1540 of 5160 tracts\n",
      "loop no 9.0 for tract no 1543 with population 763443.7413697472\n",
      "loop no 9.0 for tract no 1545 with population 765236.0144351879\n",
      "I am working on tract number 1560 of 5160 tracts\n",
      "loop no 9.0 for tract no 1561 with population 768298.3900977517\n",
      "loop no 9.0 for tract no 1578 with population 766196.4304223257\n",
      "I am working on tract number 1580 of 5160 tracts\n",
      "loop no 9.0 for tract no 1585 with population 769074.2677023566\n",
      "loop no 9.0 for tract no 1586 with population 1029872.4134464741\n",
      "loop no 10.0 for tract no 1586 with population 846626.0349201523\n",
      "loop no 11.0 for tract no 1586 with population 693920.1990952465\n",
      "loop no 12.0 for tract no 1586 with population 713574.143065259\n",
      "loop no 13.0 for tract no 1586 with population 777830.9111641563\n",
      "loop no 14.0 for tract no 1586 with population 772044.0332675433\n",
      "loop no 9.0 for tract no 1587 with population 748068.4124323474\n",
      "loop no 10.0 for tract no 1587 with population 749365.4084173797\n",
      "loop no 11.0 for tract no 1587 with population 807177.3709636929\n",
      "loop no 12.0 for tract no 1587 with population 772029.1386299694\n",
      "loop no 9.0 for tract no 1589 with population 740784.2822541003\n",
      "loop no 10.0 for tract no 1589 with population 778393.78117426\n",
      "loop no 11.0 for tract no 1589 with population 771670.114256654\n",
      "loop no 9.0 for tract no 1591 with population 941622.328586892\n",
      "loop no 10.0 for tract no 1591 with population 599032.5678649946\n",
      "loop no 11.0 for tract no 1591 with population 629100.5638583576\n",
      "loop no 12.0 for tract no 1591 with population 952315.7645768926\n",
      "loop no 13.0 for tract no 1591 with population 894278.3815557275\n",
      "loop no 14.0 for tract no 1591 with population 676212.901070687\n",
      "loop no 15.0 for tract no 1591 with population 730675.7786288285\n",
      "loop no 16.0 for tract no 1591 with population 742878.5342747349\n",
      "loop no 17.0 for tract no 1591 with population 750596.8609897214\n",
      "loop no 18.0 for tract no 1591 with population 753488.0999295234\n",
      "loop no 19.0 for tract no 1591 with population 754570.9336643941\n",
      "loop no 20.0 for tract no 1591 with population 754570.9336643941\n",
      "loop no 21.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 1591 with population 754570.9336643941\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 5.6217 6.63826 218193.7412 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.94998 1.75833 176352.5918 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.37597 1.62107 12306.0487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 3.30183 4.81188 347718.552 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 1591, giving up w pop 754570.9336643941\n",
      "loop no 9.0 for tract no 1592 with population 942268.3420591839\n",
      "loop no 10.0 for tract no 1592 with population 594062.0668530234\n",
      "loop no 11.0 for tract no 1592 with population 625641.112794137\n",
      "loop no 12.0 for tract no 1592 with population 948706.1000703708\n",
      "loop no 13.0 for tract no 1592 with population 912340.1232209179\n",
      "loop no 14.0 for tract no 1592 with population 632186.2663245923\n",
      "loop no 15.0 for tract no 1592 with population 706627.0798933518\n",
      "loop no 16.0 for tract no 1592 with population 719941.6681971427\n",
      "loop no 17.0 for tract no 1592 with population 721151.8136877324\n",
      "loop no 18.0 for tract no 1592 with population 721151.8136877324\n",
      "loop no 19.0 for tract no 1592 with population 721151.8136877324\n",
      "loop no 20.0 for tract no 1592 with population 721151.8136877324\n",
      "loop no 21.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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NV9uZPPFRggNDjA7RaSSpt3IJVZOOnHOX383NjWVz5zH66jPIzq1gyDU3sX6z2SmfJYTVauW7X5Zz+dgzGDt5GIfSDvDsQ7P5a8VW7hhzP/5+AUaH6HSS1Fs5kzkZP18fenSOd+rnvPrk0zx69w2UlCqG3TqFL3/41qmfJ1qXiooKln//CRfdcCr/eXAUefm5vDJtLquXJzN+1J34+vgaHWKTkZWPWrkE82YG9OmBh4e70z/rnlv/Q8cO7bnjkee587FX2HNgP/dNuN3pnytarrLyMpZ9+xGvL5zJ7n076NapJ6/PWMiwi0cZ3i3RKHKm3ooVFhWRtH3XSU06Ol5XDr2Erxe+jre3ZuZbnzHlySea7LNFy1FcUszCT99hyIie/Pfp2/D3DeC9F5fw8yfrGXn5Ta02oYMk9VZtw+ZtVFRYnVZPr0v/Xn3464uPCQ1249Nv1jJi4q0y5FE0SGFRAe9+MIuzhnfn8Zn3ER0Zy/uzVvD9B2u4Yug1TbZknCuTn0ArZkq03SQ9tW+PJv/smKho1n6znM4dAvl340HOGj6C3Pz8+ncUrVJufg5z5r/A4Ku78vSsh+gc350lb6/ky/m/c+HZl7tsx0QjSFJvxRLMSXSJb0docJAhn+/n48uvn37KuYM7sT+lmJ7nj2TN+g2GxCJcU1Z2Ji+9838MvqoLM9+azim9BrH8f7/y6Ts/cPZpF0gyr4Uk9VZKa43JnNworQFOhpubGx+/+Q5tYmyzWe+bPpH9h/YYGpMwXrollWdmP8Lgq7sw63/PcfZpF/Dd4n9YPOdLTjvlLKPDc2mt925CK7dr30EO5+SedBOvxtKnew+KijeRl7+Bq289h0WvLad/r4FGhyWa2MHU/bz9/it8vGI+pWWlDL9kFPeMf4geXfoYHVqzIWfqrVRlPb0pR77UpbJVwdAhg1kx/zd8vH25dtKF/PjHN0aHJprIngM7efCZOxgyogeLP5/LiEtv4LfPEnnjmfcloR8nSeqtVMLGJIIC/Ona0fg2o3sPppB5OIdB/XrRtWNPvpz/O9069WTC1GtZ+Ok7RocnnGjbriTunTaec0b25vNvP+Smayayenkyr0yfS6f2Xet/A1GDlF9aqXWJyZzat6dLDAFL2Gi/arD3n4mKiOGzd3/irsfG8PjM+9h/aA+P3/ucS8QqGsemrRuYY29/6+Pty203Teb2MVNaVLdEo0hSb4Vy8wvYsnMPV154jtGhALZSUIC/H907dah6zc/Xn3kvf8aTr0zlncWvciBlL7OfWoCPt4+BkYqTZUpcw+x5z/Pzn98S6B/Evbc+zG033dciuyUaRZJ6K7R+UzJaa5eop4NtaOWA3t1xdz+6VYG7uzszHnyNdnHxPD3rIVLTD7Hg1c8lATQzWmv+Nv3O7PnP8+faVYQEh/HgHf/HraPvatHdEo3SkDVKfZRSa5VSG5VSm5VST9lff0kptUUpZVZKfVG5jqlwfSZzMkopBvRp+klHx8ovKGTLjj0M6l/7rFalFLePmcK7L3xM4pZ1DJtwLrv372jiKMWJ0Frzy18rueY/F3D9HRezdedmpk1+gbVf7WDKfx6ThO4kDSlSlgBDtdb9gVOAy5RSZwA/An201v2AbcCjTotSNKoEcxI9OscTGOBvdCis37wVq9XKoHr6uV910bUsefsHsnMOM+zWc0kw/9NEEYrjVV5ewbLvvuSKW85kzH1XcyB1H888OIu/V2zjjrH/bRXtb41Ub1LXNpXztz3tf7TW+getdbn99X+Atk6KUTQiq9XKusRkpyyKcSISzJsBGnTVcFr/M/lywe8EBYYw+s5L+ObnZc4OTxyH0tJypr30Jd3OXca90/zJzsnjpSfe4a/lW7h19F2tqv2tkRo0nEAp5a6U2gCkAz9qrdccs8kE4Ls69p2klEpQSiVkZGScVLDi5G3btZe8gsJ6z4ybyjpzMt07dSA4sGFnb53ad+WrBb/Tu/sp3P7Ijcz9cDZaaydHKRwpLC5h6owv6HbuCuYvCaekNI6gQA9+/3wDN42YgJenl9EhtioNSupa6wqt9SnYzsZPV0pVzQZQSj0OlAMf1rHvXK31IK31oMjIyEYIWZwMU2IygEucqVutVkwncNUQFhLBkrdWcvkFI3jqtQeZ/vJ/qaiocFKUoi45uYXc9fhSepz3PZ+siMLdvZzbx2TTNtabs0+LxtPT0+gQW6XjGvirtc4GfgUuA1BKjQOuAm7WcrrULCSYkwgLCaZjuzijQ2Hn3gPk5OWf0FWDr48v777wMbePuZ/5S97kPw9eT2FRgROiFMeyZOUyYerH9LnoZ1asbIO3VyH331bA9j+u544xF3MgpYSB/QKNDrPVqndIo1IqEijTWmcrpXyBi4CZSqnLgIeB87TWhU6OUzQSkzmJgX17ukR3u4SNtnr6wH4nNrTSzc2N6VNm0j4unmkv38/1t1/Mwte+IDI8ujHDFHYpaYeZOuNbfl8TitbtCQrczb23BnDHmNFVE8NMiXkADJKkbpiGjFOPBRYppdyxndkv1Vp/rZTaAXgDP9oTxD9a6zucF6o4WVnZuezce4BRV19idCiArRQUEhxIp/Ynd499/Kg7iYtuy52PjWHYhHNZPHsFXeKNH67ZUmRlZzLvkzeYM78bVms84SE7eeD2YG65fkyNbU3mPLw8FX17yAgXo9Sb1LXWZmBALa93cUpEwmnWbbLX0w1ut1spwZzEqX0ap1XBJeddzedzf2bc/SMYPuE85r38GWec6hozZpurdEsqcz+cxfufz6WgMAj4kNtu8uD//ntLnfskmHPp2zMAby9p6WAU+cm3Igkbk3B3d+OU3t2MDoXs3Dy2797XqKNwTuk9iK8W/EFEWBQ33n05y7//pNHeuzU5mLqfaS/dz5nDu/Huh7O4+JwreeQu2/DR0cPq7phYWmbFnJzPwL5SejGSJPVWxJSYRO9unfH1Mb5/yrqqUTiN26qgfZuOrJj/OwP7nsHdT9zCGwtflCGPDbT3wC4eevZOhozowfufvcvwS0bz66dm3nx2MYfSgwn0d6dbR78699+0tYCSUi31dINJ75dWory8gvWbtnDj8MuMDgWw1dPd3NwY0Lvxa98hQaF8+MY3TH36Np5/4wn2HdzDcw/PadUrzDuyfXcyry94keUrP8HdzZ0bR0zgrlum0i4uvmqbBHMeA/oE4u5e9w12k9l2k1RGvhhL/pW3Elt27KaouMSl6um9unbC3885swy9vbyZ8/RC2sZ24PUFMzmUtp93nv+IAH9JOJU2b9vInPkv8M3Py/D28mHC6Hu4Y+z9xEQePdw1v6CcLTsKmDKxncP3SzDn0jbWm5hIb2eGLeohSb2VSDDbepa7wvJ1FRW2q4brrrzIqZ/j5ubGI3fPoF1cPI++cA/nXd+PLvHdiQqPJjI8hqiImCOPw6OJioglJCjUJYZ7OtO6TWuZM+95fvzjGwL8A7l7/INMumky4aG1Tw5cvzkfq7X+M/AEcx6DTzFmEXNxhCT1ViLBvJnoiDDaxEQZHQpbdu6hoLCoyVoV3HzNRNrFxbP4s3dJz0wjwfwP6ZYUikuKa2zr6eFZLcnH2JO/LfFHVz63HwiaW2/3f9b9wex5z/P7mp8ICQ7jgTue5NZRdxESFOpwvwRzHkrBgD51J/WDqSWkppdKPd0FSFJvJSqn47vCWajJ3PRDK88dfCHnDr6w6rnWmvyCPNIzU0m3pJKemUpGZhrplhTSM9PIyEzjQOo+1m1aS+bhjFpvtgYHhhB5zJm+LeHbDgi2K4EYQoPDDVu1SWvNb//8yOx5z7N2w2oiwqJ44r7nGXvtpAaXotaZ8+jW0Y/gwLrTRYI5F5B6uiuQpN4KpFuy2HcwlXHXDzM6FMBWCooMD6V9mxjDYlBKERgQRGBAEJ07OB7iWV5eTmZ2BhmWVNIs9uR/zMFgY/I60i0ptbYq8HD3ICI8+phSjy3hR4ZHE1VZCoqIwden7tElx8NqtfLj718ze/7zbEwyERvdlhkPvMaNIyYcV7dEq1VjSszlqoscL0xiSszDx9uNXt2Mb+fc2klSbwVMifZ6ugs08QLXalXQEB4eHkRHxBIdEUt969oXFOYfnfAtRw4AGZlppGUcYtOW9WRkpWG1WmvsH+AfSGR4NNERsVUJP/LYq4DwGMJDI2usFAW2+xVf//w5r89/geQdm2jfpiMvPv421105Bm+v47+BuXNvETl5FfWegZs25jGgdwCeHjJK2miS1FuBBHMSXp6e9O1h/CRgS9Zh9hw4xJiRVxgdilP4+wXQ0a8LHds5/llXVFSQlW2pdgBIIyPT9jXdkkJGZhqbt27kl8yV5Bfk1djfzc2NiNCoqlJPeGgkf65dRWrGIQC6xHdnztMLGH7J6JMaypmw0T5M0cGEoqLiCjZtLeCOscY3iROS1FsFkzmZvj274u1lfF/rqnq6i1w1GMXd3d1ej4+md7f+DrctLCqwl3yOJPzKso+tHJRK0jYzaZYUAN594WMuv2BErWfyx8uUmEtIsAedO9RdsjEn51NeoRnYT0a+uAJJ6i1caVkZ5uRtjB813OhQANsNW08PD/r26Gp0KM2Gn68/Hdp2okPbTg63S7OkEBQQ3Gh1ebCNfBnYN9Bhqaxq0pG0B3AJUgBr4TZt3UFJaRkD+zbudPwTlWDeTJ/unfH1kQkqjS06IrZRE3p2bjnbdxfVO0wxwZxHx/Y+hIfKohiuQJJ6C5ew0XaT1BXKHWXl5WxM2uYSsYj6rUusf9q/1hpTYp6cpbsQSeotnCkxmbax0cREhhsdCpu37qS4pFSSejNhSszF3R1O6VV3wt57sBhLVhmDpJ7uMiSpt3AJ5iTXGcroYkMrhWMJ5jx6dvHH36/uG67SxMv11JvUlVI+Sqm1SqmNSqnNSqmn7K9fb39uVUoNcn6o4ngdTE0nNd3iOvX0jUnERUcSFy0LkLu6igrN+k15DaqnB/i7071T49XyxclpyOiXEmCo1jpfKeUJ/KmU+g7YBIwE3nVmgOLEuVITLzjSqkC4vi07CykotDaoideA3gEOW/KKplXvmbq2ybc/9bT/0VrrZK31VqdGJ06KKTEZH29venZ1PBSuKaSkWziYmi6ll2aispeLo1p5ZUveQf2lnu5KGlRTV0q5K6U2AOnAj1rrNU6NSjQK08YkBvTujqcLLA5hsl81uEopSDhmMucRGe5Ju7i6h55WteSVkS8upUFJXWtdobU+BWgLnK6Uqq8FRhWl1CSlVIJSKiEjI+MEwxTHq6i4hE1bdzT6cnEnKsGchI+3F727dzY6FNEAJrOtnt6QSUenSlJ3Kcc1+kVrnQ38CjR4TTSt9Vyt9SCt9aDISLlB1lTMydsor6hwmRq2KTGZfj274eUpE1RcnSWrlD0Hius9AzeZ8+jeyXFLXtH0GjL6JVIpFWJ/7AtcBGxxclziJFVNOnKBckdxSSmJydulnt5MVJ6BO6qnW62adZvyZCijC2rImXos8ItSygz8i62m/rVS6hql1AHgTOAbpdRKZwYqjo8pMYmO7dsQHhpidCgkJm+nrLzcZUpBwjFTYh6eHoq+PQPq3Gbn3iKyc8tlpSMXVO91k9baDAyo5fUvgC+cEZQ4OVprEsxJDB1yutGhAEcmHbnKotfCsQRzHn16+OPjXfc5n0w6cl0yo7QF2nswhczDOS5RegHbTdIObWKJDHe8FqYwXmmZlY1J+fVO+08w21rydmrf8FWURNOQpN4CVdbTB/XvbXAk9oZPZpl01FwkbSuguKT+SUemxDxO7ROIm5tMOnI1ktRbIFNiEgH+fnTr2N7oUNh/KJX0zCyXmdUqHEtoQG/07Nxytu2qvyWvMIYk9RYowZzEqX16NMrKNyfLlGhf6Ujq6c2CyZxHXLQXcdEOJh1tknq6K5Ok3sLkFxSyZccelyl3JGxMwt/Plx6d440ORTRAgjm3QfV0NzcY0FuSuiuSpN7CrN+8FavV6jJjwk2JSZzSuzseHsZfNQjHDqWVcCittP56egNa8grjSFJvYSp7rAzo08PgSKCwqIik7btc5gAjHDMlVk46qjupV1TYJh0N6i9n6a5KknoLYzIn0b1TB4ID65440lQ2bN5GRYVV6unNhMmch4+3G726+de5TVVLXun34rIkqbcgVquVdZu2uE493X7VcGpf468aRP0SzLn07xWAl6ejSUf1t+QVxpKk3oLs3HuA7Nw8lyl3mBKT6BLfjtBgSQCurrjEyqYtBfWegSeY84gI86R9m7pHxwhjSVJvQRI2bgZwiR4rlZOOXOUAIxxLTM6nrFzXO/bclFh/S15hLEnqLYgpMZmQ4EA6tW9rdCjs2neQwzm5LlMKEo5VrnTkaOSLJauUPfuLZdKRi5Ok3oLYJh31xM3N+F9r1fqoktSbBVNiHvFtfYgI86pzm3WJlZOOpJzmyoz/3y8aRXZuHtt373OZJGoyJxEcGECX+HZGhyLqYevqWX9v9ASzvSVvj7pHxwjjSVJvIdZVTsd3gXo62JL6qX17uMRVg3Bs/6ESMjLLGtTEq093f3x9ZNKRK5P/cS2EKTEZNzc3BvQ2fvhgbn4BW3ftlXp6M5HQgGGKZeVWNmzOl34vzYAk9RYiwZxEr66d8Pczvr/1+k3JaK1l0lEzYTLn4e/nRo/OfnVuc6Qlr9TTXV1D1ij1UUqtVUptVEptVko9ZX89TCn1o1Jqu/2rrIBgkIqKCtZv2uIypZeEjUn2q4buRociGiDBnMeAPoG4u9c9TDHBXH8LAeEaGnKmXgIM1Vr3B04BLlNKnQE8Avyste4K/Gx/LgywZeceCgqLXOcmaWIy3TvHExggN9RcXUFhBck76p90ZDLnEVtPS17hGupN6tom3/7U0/5HA8OBRfbXFwEjnBGgqJ/J7Do9y61WK+sSZdJRc7EhKY+Kivqn/SeY8+QsvZloUE1dKeWulNoApAM/aq3XANFa6xQA+9eoOvadpJRKUEolZGRkNFLYoroEcxKR4aG0bxNjdChs27WXvIJCl1kfVTiWsNFWVjnVwZl6SnoJB1NLGNhX6unNQYOSuta6Qmt9CtAWOF0p1aehH6C1nqu1HqS1HhQZGXmCYQpHTIlJDOzb0yWmbldNOpLl65oFU2IeXTv6EhLkUfc2Uk9vVo5r9IvWOhv4FbgMSFNKxQLYv6Y3dnCifpasw+zZf8hlyh2mxGTCQoKJbxtndCiiHlprTIl5DWri5ePtRu/uco+kOWjI6JdIpVSI/bEvcBGwBfgSGGffbBywwkkxCgfWJW4BcJkx4QkbkxjUr5dLXDUIx3buLSI7p7zeeropMY9+PR235BWuoyG/pVjgF6WUGfgXW039a+AF4GKl1HbgYvtz0cQSzEl4enjQt0dXo0MhKzuHXfsOuMzQSuFYVVnFwSpGxSVWEpPzZVGMZqTuQpqd1toMDKjl9UzgQmcEJRrOlJhEn+6d8fUxfqiZyd6qwFVKQcIxU2IewYHudO5Q94S1xC32lryyfF2zIddTzVhZeTkbNm91mdKLyZyMh7s7/Xt1MzoU0QAJG/MY2DcIN7e6S2WVZ/Nypt58SFJvxjZv3UlxSanLJPUEcxK9u3fG18fH6FBEPXLyytm2u5BT62viZc6jQxsfIsPrbskrXIsk9WbMlOg6PcvLyyvYsHmLS8Qi6rd+Ux5aOx6maGvJmytNvJoZSerNWMLGJGKjI4iLNn78f/KOXRQVl8iko2bCZM7DzQ0G9A6oc5sDKSWkN6Alr3AtktSbMVNiMoP69TY6DMB2gAEY1N814hGOJZjz6NHFnwD/usdKSBOv5kmSejOVkm7hYGq6S5Q7iopL+Hn1GmIiw13iqkE4VlGhWbep/klHJnMefr5u9Ogsk46ak3qHNArXZLJPxzey3LFrXwZXj19AecVu8gss3DTiQoqKy/DzlZtqrmzb7kLyCyrqPQNPMOcyoE8gHh4ykaw5kaTeTCWYk/Dx9qJ3985N/tn7UzJ54OlP+PPfHPsr7YB2fLQ8i4+Wv4y/nxeR4f5ERwQQGe5PVHhAtecBRIX7ExkRQESoH+7ucrHY1CqbeDmqlRcWVZC0vYC7x7VtqrBEI5Gk3kyZEpPp17MbXp6eTfaZO/akMPXpT0kwZwMeRIRVcOctQzh3cB8yMvNJtxSQkZlPmiWfjMwC0jPzSd6ezu//7CY3v6TG+7m5KcJD/Wom/HB/oiICqg4GUeEBBPh7SeuBRmJKzCM81JP4tnUPPd2wOd/eklfq6c2NJPVmqLiklMTk7dx208gm+bxNW/fx4DOfYU4uANyIjXJn2uRLGH7poCMbda2183KVouIyLFkFRyX89MrH9oPBlp0ZZFgKKK+w1tjf18fTnvBtiT+q8iogIsB+ALB9LyLMD08PWRjZkQRzLgP7Bjo8SFauW+qoJa9wTZLUm6HELdspKy93eo+Vfzfu4OHnvmDrzhJA0b6NBzMeuIqLzul73O/l6+NJu7gQ2sWFONzOatVk5xaRkXnkAHDs2f+OvZn8ZdpLdm5xjf2VgrAQv6okX7Psc+R5UIB3qzv7z8ouY/e+Ym4cFu1wO1NiHl3ifQkNbrorQdE4JKk3Q0dukjpn5Mtv/yTz+Isr2L2vHIAu8Z48+/Bwzj6th1M+rzo3N0VYiB9hIX507+x4JE1JaTmWLNuZfroln/TM/KMOBumZ+ezal0W6JZ/Ssooa+/t4exBZ7ey/ZhkooOqKwMuzZZz9T3tpFwD/rM/lrnG61oOa1hqTOY9Lzg1r6vBEI5Ck3gyZzMl0aBNLZHjjrvX9/a8bePKVbzmQogErvbr6MvOxkZzat1Ojfk5j8fbyoE1MMG1igh1up7UmJ6/46IRvqX4AyGfP/sOs3bCfrOyiWt8jJNiXaPsN3uoJv+oegP15SJCPS5/9P3J3B5avtLBq9WEefm4nzz3cucboll37ijmcUy5NvJopSerNjG3qdhJnn16jceYJW/bdWp6Z8wNpGW5ABQN6B/LytOvp0aVNo32GkZRShAT5EhLkS9eOEQ63LS2rwJJVcFTCT7eXgGxXAwUkmA+SbsmnuKS8xv6eHm611/3DA4iK8D/qKsDHu+n/+7WL82H/2rOY+fY+3lhwgENpJbzzfPejJiFV1tPr67MuXJMk9WbmQEoa6ZlZjVJPX/z5H7z09i9kZnsAVgYPCOblJ0bRqYPjemtL5uXpTlx0EHHRjhOa1pq8gpKqm7yVCb/6TeD9KTms23SQzMOFaF3zPYIDfezln5pln+iIACIj/IkK9yc02M9hJ8Xj5eamePTuDrSL9eaxmTsZedsm3p/dk5hIW/tmk9nWkrdLfN0teYXrkqTezFStAXqC7QGsVitzP1zF7Pmryc3zRCnNuYNDeXnaaNrESA21oZRSBAX4EBTgQ5f4cIfblpdbsRwuqCr7HDkA2L6mW/LZsDmFNEs+RcVlNfb3cHcjItz/6IRf7XllGSgqIgBfn4bf2BwzMoa4aG/ueHQLV403s3h2L3p28cdkzuPUvoGNeiARTUeSejOTsDEJP18fenSOP679rFYrs/73Pe988C8FhZ64ucEl50Xy0uOjiQiTy2xn8vBwIyYykJjI+mvUBYWlR5V9qg4A9nsAqel5JCanYDlciNVa8/Q/0N/bXvI5tu5/JPFHhfsTFmKb+DV0SCjL3uvLuCnJXDMxkVemd2HrrkKuusjxgUq4rnqTulKqHfA+EANYgbla69lKqf7AO0AAsAe4WWud68RYBbZ2uwP69MCjgWOxy8sreOHNr1iwdAPFJV64u2mGXRLHC4+MIjjIz8nRiuPl7+dFp/ZhdGrv+KqposJK5uHCGmf81e8BbNqaRsZfO8kvKK2xv5ubIiLUr6ref1r/AFYnBDPp4a0ADJR6erPVkDP1cmCq1nqdUioQMCmlfgT+Bzygtf5NKTUBeBCY5sRYW73CoiKStu/i7nGj6922uLiMp2d9wccrkigt88LDA24Y1oEZD12HnwssfSdOjru7W9XEK3B8D6SwqLTqbD+9xrh/2/Ok7Wn2cf+9gED+XGvmnNPPcemRPKJ2DVmjNAVIsT/OU0olA22A7sDv9s1+BFYiSd2pNmzeRkWF1WE9Pb+wmGkvfsay73dQXu6FlyfcOqor06eMwMtLJpK0Rn6+XsS39SK+reMhsFarxpJVwFOzfuPNRRtJz8zhxcevaDFj9FuL46qpK6XisS1CvQbYBAwDVgDXY+vqVNs+k4BJAO3btz+JUEXlTdJT+9acBJSTW8jDzy/h25/3UWH1xNcHbr+5Fw/deXWDSzWidXNzU0RFBPDGjCvo0iGIl9/9g5T0PN57cSRBAbJEYXPR4KSulAoAPgemaK1z7SWXOUqp6cCXQM3CHaC1ngvMBRg0aFAtA7tEQ5kSk+gS347Q4CP1zozMHB58Zgk//5mCVXsS4Ke585ZTuG/CZbi5SQdEcfyUUtx/2zm0iQ3mwRnfMmLC+yyeM7reSV7CNTQoqSulPLEl9A+11ssAtNZbgEvs3+8GXOmsIEXl1O1kLj3vTAAOpmYx9elP+PNfC1p7EBykuH/iGUy88XxJ5qJRjLqqH7FRgdz24DKuHr+I92eNok+PGKPDEvWo93+/st0pmQcka61frfZ6lP2rG/AEtpEwwkl27TvI4ZxcYiJjueY/czj9qjf4Y202YSGKmY+dS9Kq6dx281BJ6KJRnXN6R5bPG4u7uxvX3LaYVat3Gh2SqEdDMsAQYCwwVCm1wf7nCuBGpdQ2YAtwCFjgxDhbvVV/bQQ6MWveTtZuyCMm0o03n7kY84/TGDPybKPDEy1Yjy5RfLVwHJ3ahzH+v0v5YNl6o0MSDihd2/xlJxk0aJBOSEhoss9rCQ6m5vDWon9YvMxERYWmXZziqalXcul5/Y0OTbQy+QUl3Pnoclb9tZN7xp/Jw3edL7NOm4hSyqS1HlT/ljKj1GXt3p/Fmwv/5tOvE1EKrruyHzeP6MPAfvFGhyZaqQB/bxa8ej2Pv7iSNxb+zf5DObz2f1fh7SVpxJXIb8PFbNuVwesL/mL5yiQ8PdwYe+0A7rzlDBl5IFyCh4cbLzx6Ge3jQnjujV9Izchj3svXERoszb9chSR1F7FpSyqz56/m21Vb8fP15PabBzPp5tPtMwaFcB1KKe4efyZtY4OY8n9fM3zCIhbPHk2HeiY3iaYhSd1gCeYDzJ63mlWrdxIU4M2U/wxh4g2nERYifVmEaxt+aW+iIwOZ+MBnDJuwiIWvjmJAnzijw2r15EapAbTW/GXay+x5q1n9715Cg32ZdPPpjB81UGbuiWZnxx4LYycvJd2Sz1vPjuDS87sZHVKLczw3SiWpNyGtNb/8tYvZ81aTYD5AVLg/d4w9g7HXDsDP18vo8IQ4YRmZ+dz638/YkHSIp6dezIQbTjM6pBZFRr+4GKtVs/K3bcyet5rELam0iQni2Ycv5YZh/Q1Z0kyIxhYZHsCn797M3Y+vYNrLP7LvUA7Tp1woQx4NIBnFiSoqrHz1YzJz5q9m6y4L8e1CeWXalYy8oo90vhMtjq+PJ++9OJKnXvuJ9z5ay8GUHObMGHZcqzGJkydJ3QnKyitY9u0mXl/4N7v3ZdG9UwRvPDOcqy/qiYeHTOMXLZe7uxtPP3AJ7eJCeOq1nxh150csfPU6wkP9jQ6t1ZCk3oiKS8r55MuNvLXobw6m5tK3Rwz/e+laLj2vm1yGilbltptOp01MEPdO+5Jht77P+7NH0bmDLJHXFORGaSMoLCpl8efrefeDNaRZ8hnYrw1TJp7NBWd1kpVjRKtmSjzI+PuXojUseOU6Tjul1mUXRD1k9EsTyc0vZuFSE+99tJas7CKGnNaByROHcNbADpLMhbDbc+AwY+5bwqHUHGY/PYyrL+ppdEjNjox+cbKs7ELmffIv8z9JIDe/hKFDOnPfhCGc1r+t0aEJ4XLi24by5fxbmDD1M+545AsO3JfDHWMHy4mPk0hSPw7plnzmfriWRZ+ZKCwq44qh3blvwhD6ysIBQjgUFuLHJ2/dxOQnv+SZOavYn5LN01MvkYEDTiBJvQEOpuby9vt/8/GKjZSWVTDi0l7cM/4suneONDo0IZoNH28P3n7uGtrF/sLbi/+x/b96boRMvGtkktQd2HPgsL39rRmt4fqr+nL3+DPp2C7M6NCEaJbc3BRPTB5KuzbBPPHiD1w76QMWvTZKGtc1IknqtbC1v/2b5Ss34+nhxs3XDOCucdL+VojGMu66gcRFB3Hno8u5+tZFLJ49im6d5Mq3MdQ7+kUp1Q54H4gBrMBcrfVspdQp2NYl9QHKgbu01msdvZerj37ZtDWNOfNX8+2qLfj6eHLLdacy6ebBRMtZhBBOYU5OYdyUpRSXlDPv5es4a1AHo0NySY06pFEpFQvEaq3XKaUCARMwApgFvKa1/s6+ZulDWuvzHb2XqyZ1U+JB5sxfzU9/7CDQ35sJNwziPzdK+1shmsKBlBzGTl7C7n1ZvDL9Kq69oo/RIbmcRh3SqLVOAVLsj/OUUslAG0ADQfbNgrEtPt1saK35Z90+Zs9bzR9r9xAa7MtDd57H+FEDCQ6U9rdCNJW2scEsn3cLEx/4jPumf8n+Q9lMnjhEhjyeoOOafKSUigd+B/pgS+wrAQW4AWdprffWss8kYBJA+/btB+7dW2OTJqW15te/be1v/914gMjK9rcjB+DvJ3fhhTBKSWk5D8z4lmXfbeLG4f15/tHL8PSQxnfgpBmlSqkA4DfgWa31MqXUHOA3rfXnSqlRwCSt9UWO3sPI8ovVqvnhd1v7W3NyKnHRQdw97gxGD+svXeSEcBFaa15653dmz1vNeWd05N0XRhIY4G10WIZr9KSulPIEvgZWaq1ftb+WA4RorbWyXSflaK2DHL2PEUm9osLK1z8lM2f+X2zZmUF821DuGX8m117ZV9rfCuGiPlmxkYef+46unSJ4f9Yo4qIdppYWr1Fr6vaEPQ9IrkzodoeA84BfgaHA9uMP1XnKyitY9t1mXl/wF7v3ZdGtUwSvzxjGsIt7ySw2IVzcDcP7ExsdyKSHl9mHPI6mV9coo8NqFhoy+uVs4A8gEduQRoDHgFxgNrYDQzG2IY0mR+/VFGfqxSXlLPlqI28t+ocDKTn06R7N5IlDuOz87tL+VohmZvO2NG6ZspT8ghLmzhzJeWd0MjokQ7TKLo2FRaV8sGwD7yz+hzRLPqf2bcOUiUMYOqSz3EUXohk7lJbLLVOWsm1XBi8+dgU3DO9vdEhNrlV1aczLL2HhpybmfriGrOwizhrUgTkzhjFkkLS/FaIliIsO4ov3xnL7I8uYOuMb9h3K5sE7zpX/33Votkk9K7uQ+UsSmP9JAjl5xQw9qzP3TThLmvAL0QIFBnizaNYoHn3+e2bPW83+Qzm8Mv1KGexQi2aX1Cvb377/+ToKCku54oLu3DvhLPr1jDU6NCGEE3l6uPPSE1fQLi6EF9/+jZT0XP730rWEBPkaHZpLaTZJ/VBaLm+//w8fLd9AaVkFwy/pxT3jz6RHF7kjLkRroZRi8sQhtI0NZurTXzNi4vt8MOcG2sZKs71KzWJs31c/JXPW8LeYvySB4pJyLju/G6f0jmXrLgv/rNvHzr2Z5OWX0JQ3fYUQxrn2ij589MaNpFsKuHr8QszJKUaH5DKaxeiXBPMB3ljwN+mZ+aRn5pNhKaC8wlpjOx9vD6IjAogMDyAq3J/ICH+iwgOIigggMvzI44gwP5l+LEQLsG1XBmMnLyXzcCFvPz+Ci8/panRITtHihzRarZrs3CLSLfmkZxaQkVlgf5xve5yZT7rF9jg7t7jW9wgL8a06AFRP+MceDIICvOUuuxAuLN2Sz7j7l7JpaxrPPHQJ464baHRIja7FJ/XjUVJajiWrgDSL7Qy/MuFXHQyqHQBKyypq7O/t5W47869M+MceAMIDiIqwfZU78UIYo6CwlLseX85Pf+zgzrFn8Ni9F7SoyYaS1E+A1pqcvGIyMu0HgGpn/+mWAjLsVwFplnwO5xTV+h4hwb5EhfsfnfDtzysPBpHh/oQG+8rZvxCNrLzcyvRXfmDRp+u4+uKezPq/q/HxbjZjQRxqVZOPGotSipAgX0KCfOnaMcLhtqVlFViyCqodACrP/I9cBSSYD5Juyae4pLzG/p4ebkfq/vYz/crEf9Q9gfCAFvOPUghn8/Bw49mHLqV9XAgzZq8iNT2P+a9c1+oWu5EzdSfSWpNXUFJ1pl9b2afyYJB5uJDafhXBgT5E1lH2iY4IsNf//QkN9mtRl5tCnIyvfkpm8vQviYsJ5oM5o4lvG2p0SCdFyi/NUFl5BZmHC4+Ufaol/HT7a5VXBkXFZTX293B3IyLcv0bZp8bziADpHy9ahX837OfWqZ+hFCx8bRQD+7YxOqQTJkm9hSsoLD2q7FN1AKiW+DMy87EcLsRqrfn7DfD3sp/1H1v3r34V4E9YiB/u7s1iKoMQtdq1L4ux9y0hNSOPN54ZzuUXdDc6pBMiSV0AtgVCsrILSbMce8Z/5Cqg8nv5BaU19ndzU0SE+tnP+G01/8iIAKLtX6uXgWQpQOGqMg8XMP6/n7F+00GevP8ibrvpdKNDOm6S1MVxKywqrTbip6DmVUDl0M+sAioqav6b8fP1rHH2X1X3rzYCKCLUXxYpEU2uqLiM+6Z9ybe/bGXiDYN48v6LmtVVqCR14TRWq+ZwTuGRhG859gBwZDhobn5Jjf2VgvBQv2Pq/kcSf/URQYH+MvFLNJ6KCiszZq/ivY/Wcul53Xjz2eHN5v5SoyZ1pVQ74H0gBtvKR3O11rOVUkuAygJVCJCttT7F0XtJUm9diorLsGQV1Jrwqx8MMjLzKSuvve3DkTH+R9f9jyoJhftL2wfRYPM/+Zfpr/zIKb3iWPja9USE+RsdUr0aO6nHArFa63VKqUDABIzQWidV2+YVbAtPP+3ovSSpi9porTmcU1RtqGfBMXX/yvYPBWTXMfErLMS3WpKvWfapfB4c6CNn/4KVv27jrseXExURwOLZo+kSH250SA45tfyilFoBvKG1/tH+XAH7gKFaa4eLT0tSFyersu1DXWWfygNARmY+JaV1t32oPsM3uvqM3wjb84gwf7y9ZOJXS7Z+0yHG/3cp5eVW5r9yHYMHtDc6pDo5LakrpeKB34E+Wutc+2vnAq/W9YFKqUnAJID27dsP3Lt3b4M/T4gTpbUmN7/kSMK31FEGyswnK7uOtg9BPjVaPBzdBM52JSBtH5qvvQcOM3byEvYfymHW/13F8Et7Gx1SrZyS1JVSAcBvwLNa62XVXn8b2KG1fqW+95AzdeGKysorsGQV1prwqw4G9tE/dbV9iKic8Vs1AuiYm8D2r83lxlxrcjiniP88+Bn/rNvPY/dcwF3jznC5g3SjJ3WllCfwNbBSa/1qtdc9gIPAQK31gfreR5K6aM601uQXlNZo8XBUEzj7c0tWQa1tH4ICvI9q+XBs2afyRnBYiLR9aEolpeX896mvWb4yiTEjB/DsQ5e61NDbRm3oZa+ZzwOSqyd0u4uALQ1J6EI0d0opAgO8CQzwpnMHxzfWysutZGYXkmGpq+6fz8bkFDIyCygorDnxy91dERnmX1Xqia6tDGQfAurnKxO/Tpa3lwevzxhO27gQ3ljwF4fScnnn+Wua5aS6hox+ORv4A0jENqQR4DGt9bdKqYXAP1rrdxryYXKmLkRNBYWlxwz3rH3xl4ysgjrbPhyZ8FWz02fl+P/wUGn70BAfLFvPYzO/p2eXKBbNGkVMZKDRIcnkIyFaosq2D7V2+rQcXQbKK6g58cvNTREe6nf0zN86Fn/x9/NyubpyU1q1eie3P7KMkCBfFs8eZfgC95LUhWjliorL6uz0Wb0MZMmsfb1fXx/PGgu8HFnu8cgEsJbc9mHTllRumbKUwqIy3ntpJOec3tGwWCSpCyEapHK93+rLPda++EsBOXk11/tVCsJC/Ors9Fl9EZjm2PbhYGoOt0xeyo49mbw87Uquv6qvIXFIUhdCNLriEvvEr8qyj+XoGb/VrwJqW+/Xx9uj2oxf/1rr/pU3hl1pvd/c/GJue2gZf67dwwO3n8OU/5zd5AcnSepCCMNorcnOLa6z02flPYD0zII61/sNta/3GxkRQG29/ysPACFBTdP2obSsgoee/ZZPv05k1NX9mPnY5U164JE1SoUQhlFKERrsS2iwL906RTrctrSsoqqtQ139/v/duJ90S+1tH7w83Y8a6nlsp8/KCWARYf4ntd6vl6c7rz15Fe3jQnhl7h+kpOUy98WRBAX4nPB7OoucqQshXF5l24fK+n71BV6OvQrIPFxY63sEB/rUcsZf/Uaw7bWQIF+HE7+Wfm3mwRnf0iU+nPdnj6ZNTJCz/tpVpPwihGi1Kts+VCV8S36NGb/p9tdqa/tQud5vdMTRCb/6PYDtuy1Me+kHQoJ8WDRrNH26Rzv17yRJXQgh6qG1tk/8qq3R25FRP+mZ+XW2fQDw9/Pih48mEt821GmxSk1dCCHqoZQiwN+bAH9vOrUPc7htefmRiV/H1v0Li8oIcKF2ApLUhRCiHh4ebrYafEQAOLnUcrJa5lQwIYRopSSpCyFECyJJXQghWhBJ6kII0YJIUhdCiBZEkroQQrQgktSFEKIFkaQuhBAtSJO2CVBKZQB7j2OXCMDipHAag8R34lw5NnDt+Fw5NpD4TkZdsXXQWjtueWnXpEn9eCmlEhra78AIEt+Jc+XYwLXjc+XYQOI7GY0Rm5RfhBCiBZGkLoQQLYirJ/W5RgdQD4nvxLlybODa8blybCDxnYyTjs2la+pCCCGOj6ufqQshhDgOktSFEKIFccmkrpTqr5T6WymVqJT6SikVVO17jyqldiiltiqlLjUovlOUUv8opTYopRKUUqfbX/dSSi2wx71RKXW+C8XmqZRaZI8tWSn1aFPHVk98N9tfq/xjVUqd4gqx2b/Xz/5vcrP9Z9jky8g7+NnFK6WKqv3s3nGV2Kp9v71SKl8p9UBTx+YoPqXU6dV+bhuVUte4WHwXK6VM9n9zJqXU0HrfTGvtcn+Af4Hz7I8nADPsj3sBGwFvoCOwE3A3IL4fgMvtj68AfrU/vhtYYH8cBZgANxeJ7SbgE/tjP2APEO8qP7tjtukL7HKV2LCtEGYG+tufh7vYv7t4YFNTx3M8v1fgc+BT4AFXis/+f8HD/jgWSK987iLxDQDi7I/7AAfrey+XPFMHugO/2x//CFxrfzwcW2Iq0VrvBnYAp9eyv7NpoPLqIRg4ZH/cC/gZQGudDmQDTT3Joa7YNOCvlPIAfIFSILeJY6uMo7b4qrsR+LjJIjqirtguAcxa640AWutMrXWFC8XnCuqMTSk1AtgFbG76sKrUGp/WulBrXW5/3ce+nRHqim+91rryZ7kZ8FFKeTt+JwOP7g6OWn8Bw+2P/wvk2R+/AYyptt084DoD4usJ7AP2AwexTeEFmITtbMQD25VENnCti8TmCXwCZAAFwCSDfre1xnfMNjuBPq4SGzAFWAysBNYBD7nSzw7bmXoBsB74DTjHhWLzB/4GAoD/w7gz9Tr/3QGD7QkzH7jG1eKrts11wE/1vZdhC08rpX4CYmr51uPYSi5zlFLTgS+xnVUCqFq2d8qRtZ74LgTu11p/rpQahe3gchEwH9svJwFbj5u/gPJa3sOI2E4HKoA4IBT4Qyn1k9Z6l4vEV7nvYKBQa72pseM6idg8gLOB04BC4GellElr/bOLxJcCtNdaZyqlBgLLlVK9tdaNeiV2grE9Bbymtc5Xqrb/vobHh9Z6DdBbKdUTWKSU+k5rXewq8dn37Q3MxHbV6JgRR6XjPIJ1A9baHz8KPFrteyuBMw2IKYcjY/wVkFvHdn8BvVwhNuBNYGy17eYDo1ztZwe8BjzW1HHV87O7AVhYbbtpwIOuEl8t2/0KDHKF2IA/sN2/2YPtyjULuMeFf3a/NPXPrr74gLbANmBIQ97LJWvqSqko+1c34Amg8m7+l8ANSilvpVRHoCuw1oAQDwHn2R8PBbYDKKX8lFL+9scXA+Va6yRXiA3bpd1QZeMPnAFsaeLYHMVX+fu+HluZyAh1xbYS6Gf//XrYt2nq32ud8SmlIpVS7vbHnbD9v2j0K7ATiU1rfY7WOl5rHQ/MAp7TWr/RxLHVGZ9SqqP9d4pSqgO2+3l7XCi+EOAbbCezqxvyRoaVX+pxo1LqbvvjZcACAK31ZqXUUmz/ocqBu7UxN6xuA2bb/zEUY6ulg23Ey0qllBVbXWysC8X2Jraf4yZsZwILtNZmF4oP4FzggHZCSaiBao1Na31YKfUqtlFZGvhWa/2Nq8SH7ef2tFKqHFuJ7Q6tdZaLxOYq6orvbOARpVQZYAXu0lob0Za3rvjuAboA05RS0+yvXaJtAzFqJW0ChBCiBXHJ8osQQogTI0ldCCFaEEnqQgjRgkhSF0KIFkSSuhBCtCCS1IUQogWRpC6EEC3I/wNI7SWYcotDTwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 1592 with population 721151.8136877324\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 4.2562 5.0645 15132.3695 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.28396 5.16415 358684.1561 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 5.33215 6.13877 214610.3998 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.77632 1.40627 132724.8882 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 1592, giving up w pop 721151.8136877324\n",
      "loop no 9.0 for tract no 1593 with population 625986.8677399054\n",
      "loop no 10.0 for tract no 1593 with population 643010.6998580283\n",
      "loop no 11.0 for tract no 1593 with population 1016070.241448018\n",
      "loop no 12.0 for tract no 1593 with population 980381.0784549308\n",
      "loop no 13.0 for tract no 1593 with population 769781.1263273149\n",
      "I am working on tract number 1600 of 5160 tracts\n",
      "loop no 9.0 for tract no 1608 with population 766303.5574673805\n",
      "loop no 9.0 for tract no 1609 with population 762250.3878985711\n",
      "loop no 9.0 for tract no 1611 with population 756559.9710906376\n",
      "loop no 10.0 for tract no 1611 with population 1117742.3062694366\n",
      "loop no 11.0 for tract no 1611 with population 757229.2396217375\n",
      "loop no 12.0 for tract no 1611 with population 757260.6737633615\n",
      "loop no 13.0 for tract no 1611 with population 1160592.6744427918\n",
      "loop no 14.0 for tract no 1611 with population 825549.4683968456\n",
      "loop no 15.0 for tract no 1611 with population 800363.5412434245\n",
      "loop no 16.0 for tract no 1611 with population 788132.5925488714\n",
      "loop no 17.0 for tract no 1611 with population 780870.1750332353\n",
      "loop no 18.0 for tract no 1611 with population 776161.9136053921\n",
      "loop no 9.0 for tract no 1612 with population 768557.8960110261\n",
      "I am working on tract number 1620 of 5160 tracts\n",
      "loop no 9.0 for tract no 1622 with population 4766220.98139876\n",
      "loop no 10.0 for tract no 1622 with population 4766604.594823602\n",
      "loop no 11.0 for tract no 1622 with population 2772085.948451078\n",
      "loop no 12.0 for tract no 1622 with population 602805.4689947602\n",
      "loop no 13.0 for tract no 1622 with population 602954.641902287\n",
      "loop no 14.0 for tract no 1622 with population 4766778.18886429\n",
      "loop no 15.0 for tract no 1622 with population 4704753.302701081\n",
      "loop no 16.0 for tract no 1622 with population 4638087.431498621\n",
      "loop no 17.0 for tract no 1622 with population 4590620.418000273\n",
      "loop no 18.0 for tract no 1622 with population 4564926.951726938\n",
      "loop no 19.0 for tract no 1622 with population 4549059.726305596\n",
      "loop no 20.0 for tract no 1622 with population 4531806.807591681\n",
      "loop no 21.0 for tract no 1622 with population 4514835.4436273435\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.29699 0.25284 90127.6997 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.21215 0.18061 111110.8476 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 1622 with population 4501511.0098037\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.27021 0.23005 87344.3039 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.19302 0.16433 100569.8096 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 1622 with population 4485972.083392637\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.24585 0.2093 81489.54 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.17562 0.14951 90885.647 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 1622 with population 4470259.854610442\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.22368 0.19043 75502.4309 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.15978 0.13603 81160.5274 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 1622 with population 4456638.251033623\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.20351 0.17326 71730.6777 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.14538 0.12377 71310.677 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 1622 with population 4442409.064926877\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.18517 0.15764 66669.9247 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.13227 0.11261 62142.2438 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 1622 with population 4428080.348140016\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.16847 0.14343 60780.6273 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.12034 0.10245 53702.8245 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 1622 with population 4413369.466007913\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.15328 0.1305 55345.2643 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.10949 0.09322 44427.3053 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 1622 with population 4399053.953296337\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.13946 0.11873 50027.7403 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.09962 0.08481 35429.3166 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 1622 with population 4386761.500238229\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.12689 0.10803 45554.0893 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.09064 0.07717 27610.5146 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 1622 with population 4376161.765201239\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.39623 5.86647 4224158.4023 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.11545 0.09829 41741.3111 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.08247 0.07021 20823.5577 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.97457 3.56463 89438.4941 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 1622, giving up w pop 4376161.765201239\n",
      "loop no 9.0 for tract no 1623 with population 530365.4985966819\n",
      "loop no 10.0 for tract no 1623 with population 695940.912813178\n",
      "loop no 11.0 for tract no 1623 with population 741138.1631709905\n",
      "loop no 12.0 for tract no 1623 with population 755339.0005285374\n",
      "loop no 13.0 for tract no 1623 with population 760987.2775706878\n",
      "loop no 14.0 for tract no 1623 with population 764368.4869644938\n",
      "loop no 9.0 for tract no 1632 with population 759310.0990723731\n",
      "loop no 10.0 for tract no 1632 with population 767522.9508337898\n",
      "I am working on tract number 1640 of 5160 tracts\n",
      "loop no 9.0 for tract no 1658 with population 767412.5813040414\n",
      "loop no 9.0 for tract no 1659 with population 984880.0578194859\n",
      "loop no 10.0 for tract no 1659 with population 621716.1652986454\n",
      "loop no 11.0 for tract no 1659 with population 670349.0140272875\n",
      "loop no 12.0 for tract no 1659 with population 936291.9881590848\n",
      "loop no 13.0 for tract no 1659 with population 884543.1694843606\n",
      "loop no 14.0 for tract no 1659 with population 752912.717037946\n",
      "loop no 15.0 for tract no 1659 with population 759581.9850208862\n",
      "loop no 16.0 for tract no 1659 with population 763473.6080843281\n",
      "I am working on tract number 1660 of 5160 tracts\n",
      "loop no 9.0 for tract no 1666 with population 755516.4957445397\n",
      "loop no 10.0 for tract no 1666 with population 756928.7591342605\n",
      "loop no 11.0 for tract no 1666 with population 758367.7880573096\n",
      "loop no 12.0 for tract no 1666 with population 759791.3828467252\n",
      "loop no 13.0 for tract no 1666 with population 760984.2728474345\n",
      "loop no 14.0 for tract no 1666 with population 761953.954732268\n",
      "loop no 9.0 for tract no 1669 with population 770656.530630721\n",
      "loop no 9.0 for tract no 1670 with population 770669.6397565597\n",
      "loop no 9.0 for tract no 1671 with population 774765.443793394\n",
      "I am working on tract number 1680 of 5160 tracts\n",
      "I am working on tract number 1700 of 5160 tracts\n",
      "I am working on tract number 1720 of 5160 tracts\n",
      "loop no 9.0 for tract no 1729 with population 749595.5288184586\n",
      "loop no 10.0 for tract no 1729 with population 759091.2823290803\n",
      "loop no 11.0 for tract no 1729 with population 767023.2952102611\n",
      "loop no 9.0 for tract no 1734 with population 871892.3311337687\n",
      "loop no 10.0 for tract no 1734 with population 771071.8572405868\n",
      "I am working on tract number 1740 of 5160 tracts\n",
      "loop no 9.0 for tract no 1740 with population 756241.8448829951\n",
      "loop no 10.0 for tract no 1740 with population 766627.0419352101\n",
      "loop no 9.0 for tract no 1741 with population 771159.9418657818\n",
      "I am working on tract number 1760 of 5160 tracts\n",
      "loop no 9.0 for tract no 1762 with population 766914.482568979\n",
      "loop no 9.0 for tract no 1765 with population 775451.7241235083\n",
      "I am working on tract number 1780 of 5160 tracts\n",
      "I am working on tract number 1800 of 5160 tracts\n",
      "loop no 9.0 for tract no 1800 with population 780853.7497172779\n",
      "loop no 10.0 for tract no 1800 with population 771386.2985208447\n",
      "loop no 9.0 for tract no 1803 with population 772933.5102984338\n",
      "I am working on tract number 1820 of 5160 tracts\n",
      "I am working on tract number 1840 of 5160 tracts\n",
      "loop no 9.0 for tract no 1850 with population 708218.213817172\n",
      "loop no 10.0 for tract no 1850 with population 766464.0770289021\n",
      "loop no 9.0 for tract no 1851 with population 5629224.238836538\n",
      "loop no 10.0 for tract no 1851 with population 581128.9125707843\n",
      "loop no 11.0 for tract no 1851 with population 668861.0585187072\n",
      "loop no 12.0 for tract no 1851 with population 722054.9456567887\n",
      "loop no 13.0 for tract no 1851 with population 737471.676719135\n",
      "loop no 14.0 for tract no 1851 with population 745068.1625908477\n",
      "loop no 15.0 for tract no 1851 with population 756195.4088799296\n",
      "loop no 16.0 for tract no 1851 with population 762222.5435548386\n",
      "loop no 9.0 for tract no 1855 with population 765434.7118039783\n",
      "I am working on tract number 1860 of 5160 tracts\n",
      "loop no 9.0 for tract no 1865 with population 883894.5229244763\n",
      "loop no 10.0 for tract no 1865 with population 658439.2921142173\n",
      "loop no 11.0 for tract no 1865 with population 670815.4446530205\n",
      "loop no 12.0 for tract no 1865 with population 937821.5727580998\n",
      "loop no 13.0 for tract no 1865 with population 899497.1366471818\n",
      "loop no 14.0 for tract no 1865 with population 668716.7422539657\n",
      "loop no 15.0 for tract no 1865 with population 713571.9652089359\n",
      "loop no 16.0 for tract no 1865 with population 736526.7097034384\n",
      "loop no 17.0 for tract no 1865 with population 749770.4910177372\n",
      "loop no 18.0 for tract no 1865 with population 757389.5886917806\n",
      "loop no 19.0 for tract no 1865 with population 761919.7682567363\n",
      "loop no 9.0 for tract no 1869 with population 771689.7533905419\n",
      "loop no 9.0 for tract no 1871 with population 757737.0905936635\n",
      "loop no 10.0 for tract no 1871 with population 766619.6075314843\n",
      "loop no 9.0 for tract no 1873 with population 914645.1590983162\n",
      "loop no 10.0 for tract no 1873 with population 655050.8249466113\n",
      "loop no 11.0 for tract no 1873 with population 671167.1173505508\n",
      "loop no 12.0 for tract no 1873 with population 927790.4592263359\n",
      "loop no 13.0 for tract no 1873 with population 893879.6507013629\n",
      "loop no 14.0 for tract no 1873 with population 670696.0526826283\n",
      "loop no 15.0 for tract no 1873 with population 711052.5158225871\n",
      "loop no 16.0 for tract no 1873 with population 733340.2868090062\n",
      "loop no 17.0 for tract no 1873 with population 746581.4894238478\n",
      "loop no 18.0 for tract no 1873 with population 754819.6870334453\n",
      "loop no 19.0 for tract no 1873 with population 760418.868506\n",
      "loop no 20.0 for tract no 1873 with population 763866.3836371603\n",
      "loop no 9.0 for tract no 1875 with population 923187.1885902905\n",
      "loop no 10.0 for tract no 1875 with population 654395.1093098294\n",
      "loop no 11.0 for tract no 1875 with population 673575.8440463527\n",
      "loop no 12.0 for tract no 1875 with population 920712.7409992566\n",
      "loop no 13.0 for tract no 1875 with population 880997.9144648346\n",
      "loop no 14.0 for tract no 1875 with population 725731.1731615865\n",
      "loop no 15.0 for tract no 1875 with population 743896.4014153886\n",
      "loop no 16.0 for tract no 1875 with population 754807.95210303\n",
      "loop no 17.0 for tract no 1875 with population 760542.4630363714\n",
      "loop no 18.0 for tract no 1875 with population 763978.3156375125\n",
      "loop no 9.0 for tract no 1878 with population 771866.5536129879\n",
      "I am working on tract number 1880 of 5160 tracts\n",
      "loop no 9.0 for tract no 1885 with population 768507.4898429585\n",
      "loop no 9.0 for tract no 1886 with population 766659.0343427036\n",
      "loop no 9.0 for tract no 1888 with population 680973.4773828809\n",
      "loop no 10.0 for tract no 1888 with population 932197.3885690882\n",
      "loop no 11.0 for tract no 1888 with population 810840.1064981723\n",
      "loop no 12.0 for tract no 1888 with population 778590.5763462093\n",
      "loop no 13.0 for tract no 1888 with population 774029.1388182782\n",
      "loop no 9.0 for tract no 1889 with population 791780.5096507532\n",
      "loop no 10.0 for tract no 1889 with population 776707.4901773552\n",
      "loop no 9.0 for tract no 1893 with population 761466.682593604\n",
      "loop no 10.0 for tract no 1893 with population 767315.3982928849\n",
      "loop no 9.0 for tract no 1895 with population 769846.999827662\n",
      "loop no 9.0 for tract no 1897 with population 720252.0911073061\n",
      "loop no 10.0 for tract no 1897 with population 1118191.6884198391\n",
      "loop no 11.0 for tract no 1897 with population 742735.9088323847\n",
      "loop no 12.0 for tract no 1897 with population 747324.8544569743\n",
      "loop no 13.0 for tract no 1897 with population 760309.2533585303\n",
      "loop no 14.0 for tract no 1897 with population 765215.9237946662\n",
      "I am working on tract number 1900 of 5160 tracts\n",
      "loop no 9.0 for tract no 1900 with population 759175.6024974557\n",
      "loop no 10.0 for tract no 1900 with population 772552.6179982985\n",
      "loop no 9.0 for tract no 1907 with population 766315.044615145\n",
      "loop no 9.0 for tract no 1911 with population 732411.917187233\n",
      "loop no 10.0 for tract no 1911 with population 741624.6621866237\n",
      "loop no 11.0 for tract no 1911 with population 803228.1053074424\n",
      "loop no 12.0 for tract no 1911 with population 774538.8686103568\n",
      "I am working on tract number 1920 of 5160 tracts\n",
      "loop no 9.0 for tract no 1932 with population 765800.9490611113\n",
      "loop no 9.0 for tract no 1934 with population 767412.648740923\n",
      "loop no 9.0 for tract no 1936 with population 731637.5243670411\n",
      "loop no 10.0 for tract no 1936 with population 733432.2432822173\n",
      "loop no 11.0 for tract no 1936 with population 770891.4324955536\n",
      "I am working on tract number 1940 of 5160 tracts\n",
      "I am working on tract number 1960 of 5160 tracts\n",
      "loop no 9.0 for tract no 1970 with population 771971.53061095\n",
      "loop no 9.0 for tract no 1977 with population 759143.3542714998\n",
      "loop no 10.0 for tract no 1977 with population 766751.4531362222\n",
      "I am working on tract number 1980 of 5160 tracts\n",
      "loop no 9.0 for tract no 1985 with population 632564.9871363576\n",
      "loop no 10.0 for tract no 1985 with population 649349.4622758668\n",
      "loop no 11.0 for tract no 1985 with population 1002784.3770028485\n",
      "loop no 12.0 for tract no 1985 with population 943233.1473163965\n",
      "loop no 13.0 for tract no 1985 with population 872558.319863142\n",
      "loop no 14.0 for tract no 1985 with population 677090.6032894575\n",
      "loop no 15.0 for tract no 1985 with population 718107.0468193836\n",
      "loop no 16.0 for tract no 1985 with population 737207.9170312668\n",
      "loop no 17.0 for tract no 1985 with population 749078.7744564447\n",
      "loop no 18.0 for tract no 1985 with population 756860.5595145889\n",
      "loop no 19.0 for tract no 1985 with population 761662.9575419625\n",
      "loop no 9.0 for tract no 1990 with population 755817.2797055045\n",
      "loop no 10.0 for tract no 1990 with population 781851.1396978601\n",
      "loop no 11.0 for tract no 1990 with population 770085.792803765\n",
      "I am working on tract number 2000 of 5160 tracts\n",
      "loop no 9.0 for tract no 2000 with population 728010.8903828457\n",
      "loop no 10.0 for tract no 2000 with population 765313.1173518349\n",
      "loop no 9.0 for tract no 2003 with population 1155875.6149200434\n",
      "loop no 10.0 for tract no 2003 with population 782402.781262887\n",
      "loop no 11.0 for tract no 2003 with population 778746.5997206056\n",
      "loop no 12.0 for tract no 2003 with population 773729.7000289621\n",
      "loop no 9.0 for tract no 2004 with population 768702.9663663887\n",
      "loop no 9.0 for tract no 2016 with population 762546.9807324222\n",
      "loop no 9.0 for tract no 2017 with population 766970.2733908129\n",
      "loop no 9.0 for tract no 2018 with population 767393.1488583067\n",
      "I am working on tract number 2020 of 5160 tracts\n",
      "loop no 9.0 for tract no 2020 with population 770559.2592536125\n",
      "loop no 9.0 for tract no 2025 with population 765714.8659606356\n",
      "loop no 9.0 for tract no 2029 with population 770742.1674618362\n",
      "I am working on tract number 2040 of 5160 tracts\n",
      "loop no 9.0 for tract no 2040 with population 727560.6779139952\n",
      "loop no 10.0 for tract no 2040 with population 901145.1514137784\n",
      "loop no 11.0 for tract no 2040 with population 782405.1512843306\n",
      "loop no 12.0 for tract no 2040 with population 775940.8340365255\n",
      "loop no 9.0 for tract no 2049 with population 870112.2687185346\n",
      "loop no 10.0 for tract no 2049 with population 652953.1112084155\n",
      "loop no 11.0 for tract no 2049 with population 668260.887282435\n",
      "loop no 12.0 for tract no 2049 with population 904670.026356463\n",
      "loop no 13.0 for tract no 2049 with population 873460.3063093103\n",
      "loop no 14.0 for tract no 2049 with population 671866.8650439017\n",
      "loop no 15.0 for tract no 2049 with population 714612.6295464298\n",
      "loop no 16.0 for tract no 2049 with population 736011.6172149379\n",
      "loop no 17.0 for tract no 2049 with population 749150.579480575\n",
      "loop no 18.0 for tract no 2049 with population 757192.7862131941\n",
      "loop no 19.0 for tract no 2049 with population 762055.1947680488\n",
      "loop no 9.0 for tract no 2057 with population 631150.2010423337\n",
      "loop no 10.0 for tract no 2057 with population 976394.1363606276\n",
      "loop no 11.0 for tract no 2057 with population 922726.7563543357\n",
      "loop no 12.0 for tract no 2057 with population 698266.158539548\n",
      "loop no 13.0 for tract no 2057 with population 771205.0358506093\n",
      "loop no 9.0 for tract no 2058 with population 643762.738362473\n",
      "loop no 10.0 for tract no 2058 with population 973731.2272923389\n",
      "loop no 11.0 for tract no 2058 with population 916754.1442690254\n",
      "loop no 12.0 for tract no 2058 with population 628377.096664116\n",
      "loop no 13.0 for tract no 2058 with population 646990.50966407\n",
      "loop no 14.0 for tract no 2058 with population 906543.2918806006\n",
      "loop no 15.0 for tract no 2058 with population 818684.0039452766\n",
      "loop no 16.0 for tract no 2058 with population 798645.2103050917\n",
      "loop no 17.0 for tract no 2058 with population 786577.3700907652\n",
      "loop no 18.0 for tract no 2058 with population 779284.9566611988\n",
      "loop no 19.0 for tract no 2058 with population 774829.3382746731\n",
      "loop no 9.0 for tract no 2059 with population 581205.617780901\n",
      "loop no 10.0 for tract no 2059 with population 595104.5247777901\n",
      "loop no 11.0 for tract no 2059 with population 1144354.6360338405\n",
      "loop no 12.0 for tract no 2059 with population 990149.148631028\n",
      "loop no 13.0 for tract no 2059 with population 625744.8085111643\n",
      "loop no 14.0 for tract no 2059 with population 834955.1637527304\n",
      "loop no 15.0 for tract no 2059 with population 806897.5041470518\n",
      "loop no 16.0 for tract no 2059 with population 794421.6802356979\n",
      "loop no 17.0 for tract no 2059 with population 784851.1979237482\n",
      "loop no 18.0 for tract no 2059 with population 778805.8523398743\n",
      "loop no 19.0 for tract no 2059 with population 774998.9537983228\n",
      "I am working on tract number 2060 of 5160 tracts\n",
      "loop no 9.0 for tract no 2060 with population 760585.5756963289\n",
      "loop no 10.0 for tract no 2060 with population 767665.7248185002\n",
      "loop no 9.0 for tract no 2063 with population 992555.3940599853\n",
      "loop no 10.0 for tract no 2063 with population 763526.7309688514\n",
      "loop no 9.0 for tract no 2064 with population 758066.484555753\n",
      "loop no 10.0 for tract no 2064 with population 768628.8008978695\n",
      "I am working on tract number 2080 of 5160 tracts\n",
      "I am working on tract number 2100 of 5160 tracts\n",
      "loop no 9.0 for tract no 2114 with population 878542.2594276343\n",
      "loop no 10.0 for tract no 2114 with population 759921.6807549311\n",
      "loop no 11.0 for tract no 2114 with population 762025.0628668952\n",
      "loop no 9.0 for tract no 2118 with population 762915.3107292737\n",
      "I am working on tract number 2120 of 5160 tracts\n",
      "loop no 9.0 for tract no 2129 with population 757602.247442272\n",
      "loop no 10.0 for tract no 2129 with population 766696.9121413372\n",
      "loop no 9.0 for tract no 2132 with population 796502.3696446563\n",
      "loop no 10.0 for tract no 2132 with population 767573.4342014648\n",
      "loop no 9.0 for tract no 2133 with population 630470.7832453442\n",
      "loop no 10.0 for tract no 2133 with population 974666.7707635716\n",
      "loop no 11.0 for tract no 2133 with population 680513.1612150951\n",
      "loop no 12.0 for tract no 2133 with population 711352.8599602294\n",
      "loop no 13.0 for tract no 2133 with population 793030.8181846015\n",
      "loop no 14.0 for tract no 2133 with population 781244.296911773\n",
      "loop no 15.0 for tract no 2133 with population 776164.9668202116\n",
      "loop no 9.0 for tract no 2136 with population 537279.9890000016\n",
      "loop no 10.0 for tract no 2136 with population 577829.5408825885\n",
      "loop no 11.0 for tract no 2136 with population 986012.2873803648\n",
      "loop no 12.0 for tract no 2136 with population 945396.8834789534\n",
      "loop no 13.0 for tract no 2136 with population 634848.6198154325\n",
      "loop no 14.0 for tract no 2136 with population 739214.733964658\n",
      "loop no 15.0 for tract no 2136 with population 752886.1969398287\n",
      "loop no 16.0 for tract no 2136 with population 759075.4494482157\n",
      "loop no 17.0 for tract no 2136 with population 763015.6515170361\n",
      "loop no 9.0 for tract no 2137 with population 774061.0119708659\n",
      "I am working on tract number 2140 of 5160 tracts\n",
      "loop no 9.0 for tract no 2140 with population 1049846.229638727\n",
      "loop no 10.0 for tract no 2140 with population 980553.4991812825\n",
      "loop no 11.0 for tract no 2140 with population 621353.0707597281\n",
      "loop no 12.0 for tract no 2140 with population 632266.4387182721\n",
      "loop no 13.0 for tract no 2140 with population 1023332.5598160141\n",
      "loop no 14.0 for tract no 2140 with population 996376.8674918817\n",
      "loop no 15.0 for tract no 2140 with population 890912.7165865792\n",
      "loop no 16.0 for tract no 2140 with population 837178.4535474753\n",
      "loop no 17.0 for tract no 2140 with population 812074.3428714502\n",
      "loop no 18.0 for tract no 2140 with population 797856.7724072905\n",
      "loop no 19.0 for tract no 2140 with population 788148.3124849485\n",
      "loop no 20.0 for tract no 2140 with population 780914.2439999197\n",
      "loop no 21.0 for tract no 2140 with population 776510.1862255621\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.12591 0.15216 1224.2532 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.96364 1.17308 4079.2062 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.19678 3.78133 609114.6024 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.42888 0.42532 162092.1244 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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dYv6vgbzbqSZ1qstZtkKkN2ngWVBUdBz9R/vjUcyVgR8+b6hGdEw8vn7+FC3kzODej7yKghAijckIJQuaOHsbF0IjWPZtN8Njj2lzd3Du4i0Wz+pCrpzZTU4ohEgNWYFnMYGHLzNv8T7e6lCD+j4lDdUIOnaF2T/toWs7bxrV8TQ5oRAitaSBZyExsQn0H+1PkYJ5GfqJsbFHXHwivn7+FMifi+F9mpqcUAjxNGSEkoVMn7eD0+dvsujrzuTOlcNQja/n7yT4bDgLpnUkb25HkxMKIZ6GrMCziCPB1/jmx928/lJVGtcrZajG8dNhfDV/F+1bV6LFc2VSfoAQIk1JA88C4uIT6TtqFfldcjKibzNDNRISkvD1W4WLsyOjfFuYnFAIYYSMULKAWQt3c+J0GPMnd8Alr5OhGt/9vJfDJ67x3Zevks8lp8kJhRBGyAo8kws+E8aMeTt4pWVFXmhc1lCNMyE3mDJnG22aluPF5hVMTiiEMEoaeCaWPPbwJ0/uHIweYGzskZiYRD8/f5wcHRg78AWTEwohnoWMUDKxeYv3EXT8Kt+Ma0d+11yGavywNJADh0OZMeolCrjlNjmhEOJZyAo8kzp74SaTvt3GC8+X5eUWxsYeFy7f5stZW2naoDSvtalsckIhxLOSBp4JJSVp+o/2J0d2e8YNegGl1FPX0FrTf0wA9nbZmDCktaEaQoi0JQ08E1q47AD7gi4zsl9zCrnnMVRj0YogdgVeYHifphQpmNfkhEIIM0gDz2QuXYlg3MzNNK5Xik4vVjFUI/TaXUbP2EiDWiXp2s7b3IBCCNNIA89EtNYMGBOAUoqJQ42NPbTWDBq3msREzaShbWR0IkQGJg08E1my8hDb94Uw7NOmFC3kbKjGcv+jbNp1lsG9G1OymKvJCYUQZpIGnklcDbvHqGkbqVejBG+0r26oRtiNSL6Yup5a1YrxbicfkxMKIcyWYgNXSjkqpfYppQ4ppY4ppUZZtk9SSgUrpQ4rpVYopVzSPK14JK01g8avJj4hkUnD25Atm7HRyZAJa4iOiWfy8LaGaggh0ldqVuCxQFOtdTXAG2illKoLrAcqa62rAqeAwWmWUjzRH2uPs2H7GT7/qDGexfMZqrFqYzCrN5+i//uN8PLIb3JCIURaSLGB62SRlg8dLG9aa71Oa51g2b4HKJZGGcUThN+MZNikddSoUpT3Ohsbe9yKiGLohLVUrVCIXt3qmJxQCJFWUjUDV0rZKaWCgDBgvdZ67/+7S3dgtcnZRCoMm7SOqKg4po5oi52dsac0Rkxez917MUwd+SL29vK0iBC2IlX/W7XWiVprb5JX2bWVUg/Oq1ZKDQUSgEWPeqxSqpdSKlApFRgeHm5CZPE3/43BrNoQTN+eDSnj6Waoxrptp1mx5hifdm9ABa8CJicUQqSlp1puaa0jgC1AKwCl1NvAi0A3rbV+zGPmaK19tNY+7u7uz5ZWPHArIoqhE9dSuVxBPnyrrqEad+7FMHj8aip4udP73fomJxRCpLXUHIXi/vcRJkopJ6A5EKyUagV8DrystY5K05TiP76YuoHbEdFMGfEiDvZ2hmqMnr6R8Fv3mTryRbI7GKshhLCe1FxOtjCwUCllR3LDX6q1XqWUOgPkANZbztbbo7X+IO2iir9t3HGG3wKO0qdHAyqXK2ioxrY951m88hAfv12PqhUKm5xQCJEeUmzgWuvDwH/ODNFae6VJIvFEdyNj+Hz8asqVcuPT7g0M1Yi8H8uAsQGULpmPvj0bmpxQCJFe5AUdbMyYGZu4Hh7J3AmvkSO7sW/f+JlbCL12hxVz38TJ0cHkhEKI9CLHjNmQ7fvOs2hFEL261aZ65SKGauz96yILlh2ge+da1PIubnJCIUR6kgZuI6Ki4xg4djWeJfLR//1GhmpEx8TTz8+fEkVdGPTR8yYnFEKkNxmh2Igvv9nKxdAIfp/7huGxx+TvthFy6Ta/zu5KTqfsJicUQqQ3WYHbgP1Bl5i/ZD/vdqpJneolDNU4eDSUOYv20e1VbxrW8jA3oBDCKqSBZ3B/jz2KFnJmcO8mhmrExiXg6+dPQffcDPusqckJhRDWIiOUDG7a3B2cu3iLxTO7kCunsbHHV/N3curcDX6c3om8uR1NTiiEsBZZgWdgh45fZfZPe+jySjUa1fU0VOPoyevM/GE3HdpWoVlDOXRfiMxEGngGFRefiK/fKgrkz8XwPs0M1YhPSK7h6uLEF/2am5xQCGFtMkLJoGb+sIsTZ8JZMK0jznmMjT1m/7iHoyevM3die1ydnUxOKLKa3QcOc/N2BBXLlsajWGGyZZP1n7VJA8+Ajp8OY8b3O2nfuhItnitjqMapc+FMm7uDF5uXp03T8iYnFFnR6BlzOHT8FAA5nRypUKYUFf9+K1uKCl6e5MopC4X0pB5zFdg04ePjowMDA9Pt69mihIQkXnp3AaHX7rJlWS/yueR86hqJiUm06/ET5y/eYvPSnrjnz50GSUVWE3zmPO17+nLnXiQvt3ie6zducuL0ee5G3gdAKUXJYoUfNPRKZUpTsWwpihYqgOWCd8IgpdQBrfV/XnJLVuAZzHc/7+XwiWt8++Wrhpo3wPdLAjl4JJSZY16R5i1MU97Lk4XTRtP540GEXL7Csm8nkSunE5evXuf4qXMcP30u+f2pcwRs2vHgcc55cj9o6n+/L1vKA8cccjLZs5IVeAZyJuQmLbvOo1kDL+ZMbG9o1XL+0i2ad57Hc7U9+WFqB1n5CNNt2LGX7r4jqVezGj9OH02O7P9txJH3ozhx5jzHTp190NyDz5wnOiYWADu7bJQuWfzBCKZSudJULFOKAm7GXpQ7s3vcClwaeAaRmJhE+54/cybkBpuX9qKA29OvnJOSNJ0+WMTRk9fZvKwXhQvkSYOkQsCyVevp88Uk2jZ7jtnjhmBnl/ILgiQmJhJy+aplpX72wYr9yvV/XmrRLZ/L/1utl8bLozgO9ll7WCAjlAxuwbIDBB6+zIxRLxlq3gA//X6Q3QcvMnlYG2neIk11fLEFtyLu4Dd9DkMnzmL8oE9S/GvPzs6O0iWLUbpkMV5q/s8F2W7fufvP+MXyfv6SlcTFxwOQ3cGBMp4lkufqZUs/aO6uznnTdB9tgTTwDODC5duMn7mFpvVL81qbyik/4BEuX73D2K8281xtDzq/Us3khEL81/tvdODm7TvMWvgr7vlc8H3/LUN1XJ3z0sDHmwY+3g+2xSckcDbk0r8a+5bdgSxbtf7BfQoXdKNimdL/WrF7Fi+Sqr8GMgtp4Famtab/mADs7BRfDmltaGattebzcavRWjNpWBuZe4t0M7h3d27ejmDq3J/J7+rCO51eNqWug7095b08Ke/lSfvW/5zIFnbj1kNNPXm+vmX3fhITkwBwcsxBeS/Pfx0JU6GMJ7lzGTsgIKOTBm5li1YEsSvwAhOGtKZoIWN/Ei5ddYQtu88xdmBLihdxMTegEE+glGLCkD7cirjLsEmzcHXJyystG6fZ1yvglo8CbvloXO+fcXBMbBynz1/g+KlzHDt9juMnz7JqwzYWrQh4cJ+SRQv/6yiYimVKUbxIIZtf7MiTmFYUeu0uTV+fQ7WKhfn1m66Gfpiuhd+jaae5lPdyZ/l3b5Atm23/QArbFB0TS7dPBnPwSDA/Th9No7o1rZpHa82V6+H/Ogrm+OlzhFy6wt89L2/uXFQo45k8hrE09XKlPXByzGHV7I8iR6FkMFpr3uqzlN0HLrJxSQ9KFnM1VKO773K27T3P+sU9KFVCDsES1nPnXiQd3u9PyKXkY8S9K5WzdqT/uB8VTfDZkAdHwRw7dY4Tp88RFR0DQLZs2ShVoug/I5iypalYtjQF3fJZdbUuR6FkML8FHGXTzrP49W9hqHkD/LnuOOu2nWb4Z02leQurc86Tm0VfjaPde31549Oh/PH9VLw8jL0ASVrJldOJmlUqULNKhQfbkpKSuBB69V9HwRw8Gsyf67c+uE8+F+d/RjCW5l7GswTZHaz7ouCyAreCsBuRNOk0By8PN1bMe9PQ2OPm7fs07jiHkkVdWTn/Lezs5MJCImMIuXyFdu/1xcHenpXzp1OkoLu1Ixly514kJ06f+9cY5uTZEGLjkg9vdLC3x8uzRPKJSGWTj1mvVLYU+VycTc8iI5QMpOeA39i48wzrfnkPLw83QzU+GvIHAZuCWbvoPcqVts3/ICLzOhp8hg7v96dQATd+nzuVfC6Z45jthIREzl28/NBcPbm5X79x68F9Crnn/8/JSMWLFMLB3s7wIY6GG7hSyhHYBuQgeeSyXGs9UinVEfgCqADU1lqn2JmlgcOqDSd4f9AKhvRuwsfv1DNUY82Wk7zX/zcGfNCIPj0ampxQCHPsCjzEG58OoVI5L3795ktyOmXeKxXeuHX7QVM/duocR0+e4dS5C/+6z2fvdWXgh+8Yqv+4Bp6av7tjgaZa62qAN9BKKVUXOAq0J7m5i1S4FRHF0IlrqVqhEO+/UcdQjYi70Qwev4aKZQsY/gUgRHqo71ONWWMHE3TsJL0+H018QoK1I6WZfC7OuLvlw97ensj7UVwLu/Gf+9SsUtH0r5vik5g6eYkeafnQwfKmtdYnAJs/jjI9jZyynjt3Y1jyTVfs7Y3NrEdN28jNiCh+nPE6DvZZ54wzYZtaN2nIhCGfMWDMNPqNmsyMUQMzxQtBaK05dzGUnfuD2BkYxK7AQ9yKuAOAR7EivNSiEfVrelPfp1qaXqArVUehKKXsgAOAFzBLa703tV9AKdUL6AVQokTGekY6Pa3bdprfVx+jX8+GVPAqYKjGlt3nWPq/w3zybn2qlC9kckIh0kbXdq25eTuCL2f9gKuLM6P6fWCTC7/LV6+zc38QO/YHsSswiGvhN4HkU/qbNqhFfR9vGvhUo1jhgumWKVUNXGudCHgrpVyAFUqpylrro6l87BxgDiTPwI0GtWV37sUwePxqypd255PuDQzVuBcZy4AxAZTxzC9zb2Fzer/TmRu3Ipi3eAXu+Vz45N0u1o6Uous3brIr8NCDVfbF0GsA5Hd1Tr52Sy1v6vt441m8iNV+IT3VceBa6wil1BagFckzcJEKo6dvJOzmfeZP6Uh2B2Njj3EzN3M17C4r57+NYw45fF/YFqUUI/u+z62IO3w56wfyu7rQtV1ra8f6l1sRd9gVeIhdB5Kb9pmQS0Dy8e31alalZ5f21PepRrnSHhnmL4gUO4FSyh2ItzRvJ6A5MCHNk2US2/acZ/HKQ3z8dj2qVSxsqMauwAv8uPwgPbvWpmaVoiYnFCJ9ZMuWjakj+xNx5x6fj5uBq3MeWjex3l+TdyPvs+fg4eRVdmAQx0+dA5JP9qnjXZkur7SiQS1vKpYplWGvcJiawwirAgsBO5KPWlmqtfZTSr0KfA24AxFAkNb6hSfVymqHEd6PiqPp63PJkd2OtYvew8nx6c/aio6Jp3nneQBsWNLDUA0hMpKo6Gg6fzyYo8Gn+fmrcdT3SZ/LH0dFR7P/0LEHY5FDJ06TlJSEY47s+FSrRP2a1WhQy5tqFctmuBeQMHwqvdb6MFD9EdtXACvMiZc5jZ+5mdBrd1gx903DjXfi7K2EXL7Nsm+7SfMWmUJOJycWTvOjfU9f3vUdyW/fTaZyeS/Tv05sXBwHjwRbjhIJ4uCRYOITErC3s6NGlQp82r0LDXy8qVGlgs2+PmfG+jWTiez96yI/LD3Ae519qOVd3FCNA0dCmfvLPt7qUIP6PiVNTiiE9bg652XR18nXTen26RD++H4ansWfbTyYkJDIoROn2Gk5SmT/oWPExMaRLVs2qpYvQ69ur1Hfpxq1qlUiV87McVKRnEqfBqJj4mnR9XsSE5PYuKQHOZ2e/rd7TGwCrd74nqjoeDb92pPcuTLeJS6FeFZnQi7xao9+REXHUMHLw3L6eWkqlU35hRiSkpI4fuocOyzHYe/96wiR96MAqFCmFA18qtHAx5s6NargnMfYyxRmFHI1wnQ05bvtnL94iyXfdDHUvAGmz9vB6fM3WfR1Z2neItPy8ijOb3Mms2hFAMdPn8N/0w4WrVj94PMPvxBDhTKlcM7jxMmzl9gZGMTug4eJuHMPgNIli9G+dVMa+HhTr2ZV8ru6WGmP0pc0cJP9dfQK3y3aS7dXvXmutqehGkeCr/HNj7vp9FJVGtcrZXJCITKWsqVKMsr3QyD5DMerYTcsVwA8y/5DR9h/6DCrN+/812OKFylIq+frPzgWu5B7fmtEtzpp4CaKjUvA128VBd1zM+yzpoZqxCck0s9vFfldcjKyb7OUHyBEJqKUwj2/C9v2/MqaLX9y5XrysdiOOXITE6vw8qjGwmk/41G8iJWTZgy2f1GCDOSr+Ts5ee4GEwa3Jm9uR0M1Zi3YzfFTYXw5uDUueTPHEy1CPI15v3zF/F9nUbVCdcYN+pqtyw/zfN0mOOaIZ/6Ub6V5P0QauEmOnrzOzB9281qbyjRraOyQqJNnw5k+bwevtKzIC43LmpxQCNvg4JD8vFHpkmV5u8P7HDt1mLVb/8eAD76gdEn5f/EwGaGYID4hEV+/Vbi6ODHKt4WhGgkJSfQbtYo8uXMweoCxGkJkBu917s3ZC6eYtXAySil++eMHvCv60KPLp9aOluFIAzfBtz/t5ejJ68yd2B5XZ2Njj3mL9xF0/CrfjH2F/K65TE4ohO1QSjFmwHRuRdxg5oJJACz7dh32GezsyIxARijP6PT5G0yds50Xm5enTdPyhmqcvXCTSd9u44Xny/JyS/Mv+i6ErbGzs2PysO+A5IZe3quylRNlTPIr7RkkJibRz8+fnDmzM2ZAS0M1kpI0A8YEkCO7PeMGvZBhrnImxOMsWHqVC6ExDPywBE6OaXeRpzy583J+dyR22TLmhaQyAmngz+D7JYEcPBLK16Nfxj2/sTO9flx+gL1/XWLqyBcp5J7H5IRCmG/oxOSr9s1ZdOXBtuJFctChbQFea+OOZ3Hzjp7K7mCb1yhJL3IqvUHnL92ieed5NKztwYKpHQ2tnC9diaDp63Op7V2cn796XVbfwiZs3XOb8TMvcCT4for3falFfjq0LUCjOi5kd5CJrVGGX5XeTJmlgSclaTp9uIijwdfZvKwXhQs8/cpZa02Xjxdz8OgVNi/tSdFCzmmQVIi0p7Xm2Kn7/BYQzrJVYdy+8+QXL67glZMOLxag3QtuFHKXy0SkhlwLxUQ///4Xuw9cZPKwNoaaN8CSlYfYvi+EcYNekOYtbJpSisrlclO5XG5G9v3n8hERdxMI2HSD5f7h7P3r7oPtJ85EMXp6CKOnhzzYZm+n6NDWnQ5tC1DbOy92dvLXaGrICvwphV67Q5NOc6lRuQiLZ3UxNPa4GnaPpp3mUKlsQZZ+241s2eSHVWQNSUmawMP3WO4fxnL/MGLjntx/fKrmoUPbArzYPD+uzln3evgyQjGB1po3Pv2VfUGX2PRrT4oXcTFU451+y9ixL4QNS3rgWTyf+UGFsDHXb8Tx57obLPcP4+jJJ8/WnfPY0aFtATq0LUCV8rmyxHNHMkIxwdJVR9iy+xxjBrQ01LwB/lh7nA3bzzCyb3Np3kJYFHTLTs+uRejZ9Z/rnMQnJLFj3x2W+4fxx9obD7bfuZfI90uu8v2SqwB8/lEJPu1u7EVTbJ008FS6fiOSUVM3UNu7GG93rGmoRvjNSIZNWkeNKkV5r/N/fpkKIR7iYJ+NJvVdaVLflVljyz3YfuFyDCvWhLM8IIwr12IpkD/rHmooDTwVtNYMHr+G2LgEJg9va3hmPWzSOqKi4pg6oi12dnJIlRBGlCzmSJ8exenTI2uuuh8mXSQV/lx/grVbTzHgg0aULmnswvEBm4JZtSGYvj0bUsbTzeSEQoisSBp4Cm7evs+wiWvxrliYHl1qG6px+040QyaspXK5gnz4Vl2TEwohsioZoaRg+KT13IuMZcqIttjbG/t998XUDdyOiObnrzrjYC/XdRBCmCPFjqSUclRK7VNKHVJKHVNKjbJsz6eUWq+UOm1575r2cdPX2i2nWLnuOJ/1aEh5rwKGamzccYbl/kfo/W49KpcraHJCIURWlpolZSzQVGtdDfAGWiml6gKDgI1a6zLARsvHmUbE3WgGf7mGimUL0PudeoZq3I2M4fPxqylbyo1PuzcwOaEQIqtLsYHrZJGWDx0sbxp4BVho2b4QaJcWAa3Fb9pGbty+z9QRLxoee4yZsYnr4ZFMGdGWHNllWiWEMFeqhrpKKTulVBAQBqzXWu8FCmqtrwJY3hubMWRAW3af49f/HebDt+pRpXwhQzV27A9h0YogenWrTY3KRU1OKIQQqWzgWutErbU3UAyorZRK9ctjKKV6KaUClVKB4eHhBmOmn3uRsQwYE4CXR3769mhoqEZUdBwDxgTgWSIf/d9vZHJCIYRI9lSHVWitI4AtQCvgulKqMIDlfdhjHjNHa+2jtfZxd3d/trTpYNzMzVwNu8uUEW1xzGFs7PHlN1u5GBrBlOFtcHLMuhfgEUKkrdQcheKulHKx3HYCmgPBwJ/A25a7vQ2sTKOM6Wb3gQv8uPwgPbrUxqdqMUM19gddYv6S/bzbqSZ1qpcwOaEQQvwjNUvMwsBCpZQdyQ1/qdZ6lVJqN7BUKfUecBHomIY501x0TDz9RwfgUcyVzz963lCNmNgEfEf7U7SQM4N7NzE5oRBC/FuKDVxrfRio/ojtN4FmaRHKGibO3krI5dss+7ab4bHHtLnbOXvhFotndiFXzqx7gR0hRPqQU+mBA0dCmfvLPt58rTr1fUoaqnHo+FVm/7SHLq9Uo1Fdz5QfIIQQzyjLN/DYuAR8/VZRuEBehn7S1FCNuPhEfP1W4Z4vF8P7ZJo/SoQQGVyWP7tk+rwdnD5/k5+/ep08uY29wOrMH3Zx4kw4C6Z1xDmPo8kJhRDi0bL0Cvxo8DVmLdxNp5eq0qR+aUM1TpwJY8b3O3m1VSVaPFfG5IRCCPF4WbaBxyck0tdvFfldcjKyr7GxR0JCEr5+/jjndcSvfwuTEwohxJNl2RHKrAW7OX4qjO8nv4ZLXidDNeYs2suh41f59stXyeeS0+SEQgjxZFlyBX7ybDjT5+3g5RYVaNW4XMoPeIQzITeZ/N022jQpx4vNypucUAghUpblGnhiYvLYI0/uHIwZ2PKZajg5OjD28xdQythrZAohxLPIcg187uL9/HXsCmMGtCS/ay5DNRYsO0Dg4ct80a8FBdxym5xQCCFSJ0s18HMXbzFp9lZeeL4sL7esaKjGhcu3GT9zC03rl6ZD21RflFEIIUyXZRp4UpKm/2h/cmS3Z9wgY2MPrTUDxgZgZ6f4ckhrGZ0IIawqyzTwH5cfYO9flxjZtxmF3PMYqvHLH0Hs3H+B4Z81o2ihvCYnFEKIp5MlGvilKxGM/Xozz9f1pNNLVQ3VCL12F7/pG2lQqyTdXvU2N6AQQhiQ6Ru41pqBY1ejlGLi0DaGRyeDxq8mMVEzyWANIYQwW6Zv4L/+eZhte88z9NMmFCvsbKjGbwFH2bTzLIM+fp6SxVxNTiiEEMZk6gZ+Neweo6ZtoF6NErzZvoahGmE3Ihk5ZT0+VYvxbicfkxMKIYRxmbaB/z32iItPZNLwNmTLZmzsMXTiWqJj4pkyog12dpn2n0sIYYMybUf6Y+1xNmw/w8APn8ezeD5DNVZtOEHAppP49mqEl4ebyQmFEOLZZMoGfuPWfYZPWkf1ykXo0aWWoRq3IqIYOnEtVSsU4v036picUAghnl2mvBrhsEnruB8Vx9QRbQ2PPUZOWU/EnRgWz+qKvX2m/D0nhLBxma4zBWwK5n/rT9C3Z0PKlnI3VGP99tP8vvoYn3avT8UyBUxOKIQQ5shUDfz2nWiGTFhLpbIF+fCtuoZq3LkXw6Bxqylf2p1PujcwOaEQQpgnU41Qvpi6gdsR0fz8VWcc7O0M1RgzYxNhN+8zf0pHsjsYqyGEEOkh06zAN+44w3L/I3z8Tj0qlytoqMa2Pef55Y8gPnyzLtUqFjY5oRBCmCvFBq6UKq6U2qyUOqGUOqaU+syyvZpSardS6ohS6n9KKatd3eleZCyfj19N2VJufPaesbHH/ag4BowNoHTJfPTt2dDkhEIIYb7UrMATAF+tdQWgLvCxUqoiMA8YpLWuAqwABqRdzCcb89UmrodHMmVEW3JkNzYVGj9zM6HX7jBleFucHB1MTiiEEOZLsYFrra9qrQ9abt8DTgBFgXLANsvd1gOvpVXIJ9mxP4Sff/+LXt1qU6NyUUM19v51kR+WHqD76z7U8i5uckIhhEgbTzUDV0p5ANWBvcBR4GXLpzoCj+x8SqleSqlApVRgeHj4M0T9r6joOAaMCcCjuCv9329kqEZ0TDy+owMoUdSFQR83NjWfEEKkpVQ3cKVUbuA3oI/W+i7QneRxygEgDxD3qMdpredorX201j7u7saOy36cL7/ZysXQiGcae0z5bjvnL95i4tDW5HTKbmo+IYRIS6kaGCulHEhu3ou01r8DaK2DgZaWz5cF2qZVyEfZf+gy85fs552ONalbo4ShGn8dvcJ3i/bS7VVvnqvtaXJCIYRIW6k5CkUB3wMntNZTH9pewPI+GzAM+DatQv5/MbEJ+PqtomghZwb3bmyoRmxcco0CbrkZ9llTcwMKIUQ6SM0KvAHwJnBEKRVk2TYEKKOU+tjy8e/AD+bHe7Rpc7dz9sItFs/sQu5cOQzV+PqHXZw8d4OF0zuRN7ejyQmFECLtpdjAtdY7gMddTHuGuXFSduj4VWb/tIfOL1ejUd3Ujz0i7kaz5+BFdgVeYOf+CwSfDee1NpVp3tArDdMKIUTasalT6ePiE/H1W4Wbay5G9G32xPtG3o9lX9BldgaGsCvwAkeCr6E1OOawp7Z3cdq3rsw7nWqmU3IhhDCfTTXwWQt2ceJMOD9M6YBznn+PPaJj4jlwJJSd+0PYGXiBQ8eukpCYhIN9NmpWLUrfHg1pUMuD6pWLGD7ZRwghMhKb6WQnzoQx4/udvNqqEi2fL0tcfCKHjl1hR+AFdu4P4eCRUGLjEsmWTVGtYmE+eKsuDWqWpJZ3MTmzUgiRKdlEA09ISMLXz5/EJE0h9zx0+2QJ+4IuERUdD0ClsgV5u2NN6vuUpE714vKkpBAiS7CJBr54ZRCHjl8FYPZPeyjjmZ9OL1alQa2S1K1RgnwuOa2cUAgh0p9NNPCypdx4u2MNalcrTj2fkhR0y23tSEIIYXU20cDrVC9BnerGzrYUQojMKtO8oIMQQmQ10sCFEMJGSQMXQggbJQ1cCCFslDRwIYSwUdLAhRDCRkkDF0IIGyUNXAghbJTSWqffF1MqHLiQbl8wbbgBN6wdIp3JPmcNss8ZV0mt9X9eVDhdG3hmoJQK1Fr7WDtHepJ9zhpkn22PjFCEEMJGSQMXQggbJQ386c2xdgArkH3OGmSfbYzMwIUQwkbJClwIIWyUNPBUUEp5K6X2KKWClFKBSqnalu0eSqloy/YgpdS31s5qpsft90OfL6GUilRK9bdWRrM94Xtd+6Hv8yGl1KvWzmqWJ+xzC6XUAaXUEcv7ptbOapYn7HN+pdRmy8/1TGvnTJHWWt5SeAPWAa0tt9sAWyy3PYCj1s6X3vv90Od/A5YB/a2dNR2+1zkBe8vtwkDY3x/b+tsT9rk6UMRyuzIQau2s6bDPuYCGwAfATGvnTOnNJl6RJwPQQF7LbWfgihWzpKfH7rdSqh1wDrif/rHS1CP3WWsd9dB9HC33yywet89/PXSfY4CjUiqH1jo2nfOlhcft831gh1LKy1rBnoY8iZkKSqkKwFpAkTx2qq+1vqCU8iD5B/sUcBcYprXebrWgJnvCfucCNgAtgP5ApNZ6svWSmudx+2z5XB1gPlASeFNrvcJqQU30pH1+6D4dgA+01s2tENF0Ke2zUuodwEdr3ds6CVNHVuAWSqkNQKFHfGoo0Azoq7X+TSnVCfgeaA5cBUporW8qpWoCfyilKmmt76Zb8GdkcL9HAdO01pFKqfQLaxKD+4zWei9QyfKff6FSarXWOia9cj8Lo/tseWwlYALQMj2ymuVZ9tlWyAo8FZRSdwAXrbVWyR3rjtY67yPut4XkeXBgemdMC4/bb6XUdqC45W4uQBIwQmud8Z/0ScFTfK83AwMyw/f6SfuslCoGbALe1VrvtGZOM6X0fbaVFbgchZI6V4DnLbebAqcBlFLuSik7y+1SQBmS58KZxSP3W2v9nNbaQ2vtAUwHxmWG5m3xuO+1p1LK3nK7JFAOCLFGwDTwuH12AfyBwZmpeVs8cp9tjYxQUqcnMMPyHzgG6GXZ3gjwU0olAIkkzwhvWSljWnjcfmdmj9vnhsAgpVQ8yX9xfKS1toWr2KXG4/a5N+AFDFdKDbdsa6m1DrNCRrM99mdbKRVC8hOc2S1P1rfUWh+3RsiUyAhFCCFslIxQhBDCRkkDF0IIGyUNXAghbJQ0cCGEsFHSwIUQwkZJAxdCCBslDVwIIWyUNHAhhLBR/weEkKVZLVszgQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 2142 with population 759698.5595024808\n",
      "loop no 10.0 for tract no 2142 with population 764842.2001848543\n",
      "I am working on tract number 2160 of 5160 tracts\n",
      "loop no 9.0 for tract no 2164 with population 750411.8737753984\n",
      "loop no 10.0 for tract no 2164 with population 770864.4724320717\n",
      "loop no 9.0 for tract no 2166 with population 759435.5992336996\n",
      "loop no 10.0 for tract no 2166 with population 766410.5991881936\n",
      "loop no 9.0 for tract no 2167 with population 732721.3933385503\n",
      "loop no 10.0 for tract no 2167 with population 850898.060505152\n",
      "loop no 11.0 for tract no 2167 with population 788517.6845644973\n",
      "loop no 12.0 for tract no 2167 with population 776730.0527914505\n",
      "loop no 9.0 for tract no 2168 with population 767046.8646042619\n",
      "loop no 9.0 for tract no 2176 with population 755636.184137144\n",
      "loop no 10.0 for tract no 2176 with population 768813.1826767869\n",
      "loop no 9.0 for tract no 2177 with population 595091.9832915501\n",
      "loop no 10.0 for tract no 2177 with population 606971.0889418143\n",
      "loop no 11.0 for tract no 2177 with population 1028736.4028262489\n",
      "loop no 12.0 for tract no 2177 with population 979141.9462883075\n",
      "loop no 13.0 for tract no 2177 with population 947250.3553057676\n",
      "loop no 14.0 for tract no 2177 with population 902748.5571923169\n",
      "loop no 15.0 for tract no 2177 with population 840003.4367039799\n",
      "loop no 16.0 for tract no 2177 with population 802474.1114169313\n",
      "loop no 17.0 for tract no 2177 with population 788419.6637053746\n",
      "loop no 18.0 for tract no 2177 with population 780523.0163183623\n",
      "loop no 19.0 for tract no 2177 with population 775984.3145761362\n",
      "loop no 9.0 for tract no 2178 with population 588916.2596388053\n",
      "loop no 10.0 for tract no 2178 with population 996563.3034639198\n",
      "loop no 11.0 for tract no 2178 with population 950554.2348974289\n",
      "loop no 12.0 for tract no 2178 with population 625872.1961342657\n",
      "loop no 13.0 for tract no 2178 with population 679520.1380009383\n",
      "loop no 14.0 for tract no 2178 with population 799288.4652670613\n",
      "loop no 15.0 for tract no 2178 with population 785953.9246760374\n",
      "loop no 16.0 for tract no 2178 with population 779427.1196847185\n",
      "loop no 17.0 for tract no 2178 with population 775584.87056804\n",
      "loop no 9.0 for tract no 2179 with population 609350.5452996687\n",
      "loop no 10.0 for tract no 2179 with population 972279.5711889681\n",
      "loop no 11.0 for tract no 2179 with population 951703.6940999583\n",
      "loop no 12.0 for tract no 2179 with population 869616.7275346837\n",
      "loop no 13.0 for tract no 2179 with population 590385.8207408461\n",
      "loop no 14.0 for tract no 2179 with population 606438.033548723\n",
      "loop no 15.0 for tract no 2179 with population 673779.3797858518\n",
      "loop no 16.0 for tract no 2179 with population 713572.9934269786\n",
      "loop no 17.0 for tract no 2179 with population 737299.8869710907\n",
      "loop no 18.0 for tract no 2179 with population 751231.0555496751\n",
      "loop no 19.0 for tract no 2179 with population 759307.1112547161\n",
      "loop no 20.0 for tract no 2179 with population 763801.0316823869\n",
      "I am working on tract number 2180 of 5160 tracts\n",
      "loop no 9.0 for tract no 2180 with population 675881.4863010163\n",
      "loop no 10.0 for tract no 2180 with population 726190.9787691198\n",
      "loop no 11.0 for tract no 2180 with population 762552.9831924115\n",
      "I am working on tract number 2200 of 5160 tracts\n",
      "loop no 9.0 for tract no 2208 with population 7438179.899046\n",
      "loop no 10.0 for tract no 2208 with population 723308.1726202536\n",
      "loop no 11.0 for tract no 2208 with population 757253.6687502048\n",
      "loop no 12.0 for tract no 2208 with population 764622.3136646282\n",
      "loop no 9.0 for tract no 2209 with population 777381.4354534348\n",
      "loop no 10.0 for tract no 2209 with population 772054.7494007807\n",
      "loop no 9.0 for tract no 2210 with population 719541.4814825177\n",
      "loop no 10.0 for tract no 2210 with population 789675.7893988853\n",
      "loop no 11.0 for tract no 2210 with population 771303.8340885879\n",
      "loop no 9.0 for tract no 2213 with population 755462.556743588\n",
      "loop no 10.0 for tract no 2213 with population 767567.4435997627\n",
      "loop no 9.0 for tract no 2214 with population 780198.1252522373\n",
      "loop no 10.0 for tract no 2214 with population 771780.2720961389\n",
      "loop no 9.0 for tract no 2216 with population 766097.9421436707\n",
      "loop no 9.0 for tract no 2217 with population 768319.7403332236\n",
      "loop no 9.0 for tract no 2218 with population 1372160.644953991\n",
      "loop no 10.0 for tract no 2218 with population 883208.332705321\n",
      "loop no 11.0 for tract no 2218 with population 734636.674051137\n",
      "loop no 12.0 for tract no 2218 with population 746684.2854399127\n",
      "loop no 13.0 for tract no 2218 with population 760902.2180137171\n",
      "loop no 14.0 for tract no 2218 with population 765260.561950346\n",
      "I am working on tract number 2220 of 5160 tracts\n",
      "loop no 9.0 for tract no 2220 with population 733749.4515199428\n",
      "loop no 10.0 for tract no 2220 with population 841650.5313847337\n",
      "loop no 11.0 for tract no 2220 with population 769053.7709914306\n",
      "loop no 9.0 for tract no 2221 with population 767780.3920149689\n",
      "loop no 9.0 for tract no 2222 with population 739849.0533308827\n",
      "loop no 10.0 for tract no 2222 with population 805373.4569000222\n",
      "loop no 11.0 for tract no 2222 with population 757758.7404356555\n",
      "loop no 12.0 for tract no 2222 with population 760421.6114104699\n",
      "loop no 13.0 for tract no 2222 with population 766369.169497218\n",
      "loop no 9.0 for tract no 2223 with population 1529631.2804066543\n",
      "loop no 10.0 for tract no 2223 with population 1533567.4247694716\n",
      "loop no 11.0 for tract no 2223 with population 1544961.6576668792\n",
      "loop no 12.0 for tract no 2223 with population 1176852.8035392605\n",
      "loop no 13.0 for tract no 2223 with population 630387.3271318561\n",
      "loop no 14.0 for tract no 2223 with population 631251.5026136403\n",
      "loop no 15.0 for tract no 2223 with population 690440.7621661953\n",
      "loop no 16.0 for tract no 2223 with population 718926.3784379587\n",
      "loop no 17.0 for tract no 2223 with population 742830.5244622659\n",
      "loop no 18.0 for tract no 2223 with population 753859.7034655378\n",
      "loop no 19.0 for tract no 2223 with population 759990.8039848583\n",
      "loop no 20.0 for tract no 2223 with population 763699.6254354746\n",
      "loop no 9.0 for tract no 2224 with population 589408.7065527425\n",
      "loop no 10.0 for tract no 2224 with population 589562.8935005693\n",
      "loop no 11.0 for tract no 2224 with population 6350395.033033717\n",
      "loop no 12.0 for tract no 2224 with population 6350391.271997492\n",
      "loop no 13.0 for tract no 2224 with population 6245139.834577559\n",
      "loop no 14.0 for tract no 2224 with population 2717707.273506623\n",
      "loop no 15.0 for tract no 2224 with population 2666215.4967887686\n",
      "loop no 16.0 for tract no 2224 with population 2588403.185575073\n",
      "loop no 17.0 for tract no 2224 with population 2552931.9456616906\n",
      "loop no 18.0 for tract no 2224 with population 2534729.48430272\n",
      "loop no 19.0 for tract no 2224 with population 2518922.4352081134\n",
      "loop no 20.0 for tract no 2224 with population 2503174.3371373396\n",
      "loop no 21.0 for tract no 2224 with population 2480974.2211002978\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.20736 0.17654 118709.4928 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.26952 0.22945 107244.5463 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 2224 with population 2460268.2513158065\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.18867 0.16062 103085.0496 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.24522 0.20877 102163.0197 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 2224 with population 2443595.0568967774\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.17166 0.14614 91824.2206 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.22311 0.18994 96750.6543 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 2224 with population 2425650.9405366573\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.15618 0.13296 81118.3663 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.20299 0.17282 89512.3922 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 2224 with population 2406162.4529325166\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.1421 0.12098 69397.5186 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.18469 0.15724 81744.7523 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 2224 with population 2388126.040370574\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.12929 0.11007 59217.2532 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.16804 0.14306 73888.6051 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 2224 with population 2372221.8070281968\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.11763 0.10014 51309.2231 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.15289 0.13016 65892.4018 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 2224 with population 2360429.44467166\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.10702 0.09112 45972.4771 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.1391 0.11843 59436.7855 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 2224 with population 2348802.0530305114\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.09737 0.0829 41560.9827 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.12656 0.10775 52220.8883 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 2224 with population 2337712.914832351\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.08859 0.07543 37897.3579 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.11515 0.09803 44795.3749 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 2224 with population 2327174.28023302\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.08061 0.06863 34926.7321 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.10477 0.08919 37227.3661 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.07512 4.89049 75191.6621 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.92276 1.60396 2179828.52 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 2224, giving up w pop 2327174.28023302\n",
      "loop no 9.0 for tract no 2225 with population 644278.5045785576\n",
      "loop no 10.0 for tract no 2225 with population 1924689.8793996521\n",
      "loop no 11.0 for tract no 2225 with population 993479.0628069117\n",
      "loop no 12.0 for tract no 2225 with population 895807.904667373\n",
      "loop no 13.0 for tract no 2225 with population 831354.5970209488\n",
      "loop no 14.0 for tract no 2225 with population 804451.5063421777\n",
      "loop no 15.0 for tract no 2225 with population 788062.3734335816\n",
      "loop no 16.0 for tract no 2225 with population 779389.5799116115\n",
      "loop no 17.0 for tract no 2225 with population 774947.9531868447\n",
      "loop no 9.0 for tract no 2226 with population 780023.0695969684\n",
      "loop no 10.0 for tract no 2226 with population 770793.6910863684\n",
      "loop no 9.0 for tract no 2227 with population 5204718.304117425\n",
      "loop no 10.0 for tract no 2227 with population 848607.6625791196\n",
      "loop no 11.0 for tract no 2227 with population 797654.6126941292\n",
      "loop no 12.0 for tract no 2227 with population 781872.6957554383\n",
      "loop no 13.0 for tract no 2227 with population 775181.7975258463\n",
      "loop no 9.0 for tract no 2230 with population 595249.5789232426\n",
      "loop no 10.0 for tract no 2230 with population 7281791.986738339\n",
      "loop no 11.0 for tract no 2230 with population 7281803.087318536\n",
      "loop no 12.0 for tract no 2230 with population 2588397.234676596\n",
      "loop no 13.0 for tract no 2230 with population 1552202.61303563\n",
      "loop no 14.0 for tract no 2230 with population 1257100.8078642192\n",
      "loop no 15.0 for tract no 2230 with population 1085908.107336924\n",
      "loop no 16.0 for tract no 2230 with population 1010287.5371743424\n",
      "loop no 17.0 for tract no 2230 with population 943071.0702969445\n",
      "loop no 18.0 for tract no 2230 with population 926255.6708848786\n",
      "loop no 19.0 for tract no 2230 with population 913593.780873541\n",
      "loop no 20.0 for tract no 2230 with population 908757.3847686903\n",
      "loop no 21.0 for tract no 2230 with population 906158.6442563835\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.15653 0.13326 8574.3836 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.62148 0.5291 58594.4643 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 2230 with population 903511.7766262831\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.14242 0.12125 7839.3843 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.56545 0.4814 56682.5961 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 2230 with population 900886.6415289132\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.12958 0.11032 7072.5417 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.51447 0.438 54824.3035 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 2230 with population 897896.2667789293\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.11789 0.10037 6483.957 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.46808 0.39851 52422.5135 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 2230 with population 885836.3996744348\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.10726 0.09132 6066.5643 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.42588 0.36258 40780.0391 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 2230 with population 878532.562414195\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.09759 0.08309 5771.741 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.38748 0.32989 33771.0251 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 2230 with population 873207.3804119099\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.08879 0.0756 5526.1895 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.35255 0.30014 28691.3945 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 2230 with population 867653.4632427962\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.08079 0.06878 5322.8971 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.32076 0.27308 23340.7698 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 2230 with population 863676.2640373391\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.0735 0.06258 5154.5343 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.29184 0.24846 19531.9334 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 2230 with population 856898.2136984415\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.06688 0.05694 5015.015 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.26553 0.22606 12893.4024 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 2230 with population 852197.9431255059\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.06085 0.0518 4896.3494 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.07752 3.48117 142053.3094 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4567 1.41352 696936.487 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.24159 0.20568 8311.7974 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 2230, giving up w pop 852197.9431255059\n",
      "loop no 9.0 for tract no 2231 with population 761068.1891919938\n",
      "loop no 10.0 for tract no 2231 with population 768093.2934391149\n",
      "loop no 9.0 for tract no 2232 with population 761689.1336897763\n",
      "loop no 9.0 for tract no 2234 with population 768283.8973199739\n",
      "loop no 9.0 for tract no 2236 with population 760610.8421643301\n",
      "loop no 10.0 for tract no 2236 with population 766868.5200738211\n",
      "loop no 9.0 for tract no 2238 with population 767087.9047266574\n",
      "I am working on tract number 2240 of 5160 tracts\n",
      "loop no 9.0 for tract no 2242 with population 2748235.7428556103\n",
      "loop no 10.0 for tract no 2242 with population 638846.6666375289\n",
      "loop no 11.0 for tract no 2242 with population 648253.0419389968\n",
      "loop no 12.0 for tract no 2242 with population 1238587.7183108171\n",
      "loop no 13.0 for tract no 2242 with population 991939.7788936442\n",
      "loop no 14.0 for tract no 2242 with population 920501.2410554474\n",
      "loop no 15.0 for tract no 2242 with population 875884.9342611843\n",
      "loop no 16.0 for tract no 2242 with population 854391.6456555561\n",
      "loop no 17.0 for tract no 2242 with population 804764.3763495242\n",
      "loop no 18.0 for tract no 2242 with population 792590.0594022943\n",
      "loop no 19.0 for tract no 2242 with population 781107.75965163\n",
      "loop no 20.0 for tract no 2242 with population 777124.0786194301\n",
      "loop no 21.0 for tract no 2242 with population 774158.4930685316\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.40902 0.49213 5728.9182 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 2.402 2.83155 49469.6961 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.64204 1.61691 508290.4041 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.41173 0.40242 210669.4747 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 2245 with population 746567.2646312093\n",
      "loop no 10.0 for tract no 2245 with population 762437.6645751051\n",
      "loop no 9.0 for tract no 2248 with population 769575.4429381068\n",
      "loop no 9.0 for tract no 2249 with population 913137.0777177428\n",
      "loop no 10.0 for tract no 2249 with population 691378.8834066652\n",
      "loop no 11.0 for tract no 2249 with population 730708.5509235411\n",
      "loop no 12.0 for tract no 2249 with population 756577.6041265469\n",
      "loop no 13.0 for tract no 2249 with population 763602.4906618836\n",
      "loop no 9.0 for tract no 2250 with population 698159.3428634133\n",
      "loop no 10.0 for tract no 2250 with population 698972.7480058365\n",
      "loop no 11.0 for tract no 2250 with population 6877089.5791825\n",
      "loop no 12.0 for tract no 2250 with population 3966022.012829307\n",
      "loop no 13.0 for tract no 2250 with population 797476.0405905378\n",
      "loop no 14.0 for tract no 2250 with population 794674.4644447746\n",
      "loop no 15.0 for tract no 2250 with population 780743.6117005241\n",
      "loop no 16.0 for tract no 2250 with population 775596.0638697332\n",
      "loop no 9.0 for tract no 2251 with population 665818.9058061487\n",
      "loop no 10.0 for tract no 2251 with population 742359.4777975352\n",
      "loop no 11.0 for tract no 2251 with population 758379.2889785001\n",
      "loop no 12.0 for tract no 2251 with population 763841.2534926564\n",
      "loop no 9.0 for tract no 2252 with population 447668.9638896185\n",
      "loop no 10.0 for tract no 2252 with population 452699.06231457466\n",
      "loop no 11.0 for tract no 2252 with population 7766916.837025803\n",
      "loop no 12.0 for tract no 2252 with population 4173155.2579761283\n",
      "loop no 13.0 for tract no 2252 with population 1716172.7983687534\n",
      "loop no 14.0 for tract no 2252 with population 1448189.7961112694\n",
      "loop no 15.0 for tract no 2252 with population 1421249.928624554\n",
      "loop no 16.0 for tract no 2252 with population 1393054.9489764262\n",
      "loop no 17.0 for tract no 2252 with population 1368083.1944910395\n",
      "loop no 18.0 for tract no 2252 with population 1334973.5997036253\n",
      "loop no 19.0 for tract no 2252 with population 1303057.6368014677\n",
      "loop no 20.0 for tract no 2252 with population 1259991.8363014327\n",
      "loop no 21.0 for tract no 2252 with population 1226789.3790356314\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.32626 0.27777 154680.6694 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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tWh78+5v93H1zCz5ZksumtAKjYwlRpS7onLpSKhgIB9YA7YH+Sqk1SqllSqnIs7xmjFIqWSmVfPCgcecxT41wX3aDEW6ntiGMHHYjn3/zMxu2bDc6jsto1rQWj98fxLLVeXRu50vTxt5MnpaO1Vp9iwWEcLRKF3WllB/wFTBBa50PeAGNsJ2SeRz4Qp1hOYHWep7WOkJrHeHvb9zVfO42wp04ZgTNmjRi0rTZlJeXGx3HZdw1tAVd2vsyY14Wj4xuzYatBfz72/1GxxKiylSqqCulvLEV9IVa66/td+8FvtY2awEr0NQxMatGp7YhjBo+2C1GuPX8fHn+kbFs3r6TT7/+0eg4LsPLS/HyU6HkHighK7uIvj3r8/LbuzmSV2p0NCGqRGVWvyhgAZCmtZ512kPfALH257QHagGHHJCxSk0cM4LmTRu7xQj3+kExREeG8eq7H3HoyFGj47iMiO71GX59M97/PIe7bm7B8YIyXnlbJk2Fe6jMSD0aGAHEKqVS7b+uAT4AQpVSW4BFwF26Oq9kukh+vnV5zk1GuEopXn7yQU4WFjFl9vtGx3Epk8cH4+frySdLcrj31pZ8/s1+1m8+bnQsIS5ZZVa/rNRaK611d611mP3XT1rrEq31HVrrrlrrnlrruOoIXBWuv2Ig/XqHu8UIt21wEGPvGMKXP/zG2tQtRsdxGU0aefPkA0Ekrc8nNKgOAf61mDwtnfJypx+XCHFObn1F6dkopZj6xDi3GeE+POo2AgOaMXnaW5SVOd8ppeMFxfwc/ydvvL+SlesyKSl1joy3Dw6gR2c/Zs7NYuLY1mz58wSfLPnf/XKEcCU1dg/SUyPctz9azG03Xk3vsK5GR7podevU4f8m3se9j7/Ih198y+jbbjI0j9aatJ0HSUhMJy4xnXWpeykr/+9FX751a9EvMpiYqFBio020atHAkJyenopXngrl2rs2sT39JP17N+DVObu57vIm+Ddx743OhPty6w29zudkYSExN4+mvp8vv3z2Ll5ertucWGvNiIefZt3GbSxbsoAA/ybVevz8giKWr95FQlIG8UkZ5B6wnZ/u1NYfi9mExWyiU7tmrN2wh/ikdOITM9ibcwyAtsFNsJhNxJpN9A5vjU/t6h1rPPVKOgv/k8s7Uzvw0LM7uH5QU2a/2L5aMwhxLrJL4wX4OX4l9z7+Ii88ep/hI9xLtWtPNpcNG8PVln68M3WSQ4+ltWbrjgPEJ6YTn5hO8qa9lJdr6vnWpn+fYGLNJmLMJlo0q3fW1+/MPEx8YgbxiemsTsmipLScOj7emCPaEGsOJcZsIrhVI4d+DoCjx0oZMCSF0KA69O1Zn7c/yuareV3p29OYbxBC/JMU9QugtebOh59h7cathoxwq9qMuZ/w+vzPWDxnOv0iw6v0vfPyC1m+ZhfxiRkkJKZz4PAJALq0b44l2kSsOZSe3QLxvohvPCcLS0hcn0X8KtsPid3ZeQCEBDXGEhWKxWwiqlcQdXwcs0HZ4u/28+iLO5n6RCjvfpJNPV9PflnYA2+vGjntJJyMFPULlLl3H7G3jK6WEa6jFRYVEztsNLW8vfnt3+9Ry/vii6DVqtnyZy5xq2ynS1K2ZGO1ahrU82FA3xAsZhMxUaE0b1r1+9RnZB0hPjGdhMQMEtfvpqi4DJ/aXvTtGYTFHEpMlAlTm8ZVtie61aq58d7N7Moq5JmHgnn0xZ08NyGYsXcEVsn7C3EppKhfhJlzP2GWg0a41e33lWu4a8KzTH5wFOPuvrCG0UfyTrJ89S7iEtNZtjqDQ0dOAtC9U0DFufHwLi3xqsYRbGFRKWs27CEuMZ34VelkZB0BICiwYUWB7xfZhrp1Lm1yc8ufBVw9YiO3Dw4gO7eYNRuOsWxJT1o0q10VH0OIiyZF/SIUFhVz2bAxeHt7XfII1xmMnPg8y9eksGzJAgIDmp31eVarZuO2HNu58aQMUrfuw2rVNGxQhxj7aHxg3xD8mzhP16jde48Sn5RBQmIGK9dlUlhUSi1vT3qHt7ZPuIbSLqTpRY3in5uRwQeLc3j35Q5MeH4HVw5swpxXOjjgUwhReVLUL9KljHCdzZ59ucTcPJpYcyTzX3vub48dPnqChKRdxNtH40fyClEKwjq3tI18zSbCOrfA09P5zycXl5SxZsMe26qbxHR2ZNh2qggMqE+M/Vx8v8hg6vlVbrSdX1DGwCEptGxeG0t0I16fv4dF73ahf++GDvwUQpybFPVLUNkRrit4c8HnvDrnIz6a9RKNGgZWnKPemJaD1tC4YZ2KwjewbwhNGrl+M+bs3GO2idykdFaszaTgRAlenh5EhrXCEmXCEm2iU1v/c47iv/75AOOf/Yv/mxjCh4tz8PRU/PbvMGrXcv4fcsI9SVG/BHtz9jNw6L1nHOG6muKSEjrFTKG4xAcADw9FeNeWFatJundqgYeH+zZfLiktJ3njXhKSMohLTCftL1sflwB/P2KiTFjMofTvE0KDej5/e53Wmpvv20LaXyd54dEQJrzwF0+Na8P4e1oZ8TGEkKJ+qWZ/8G+mv/shn82eisV8xt4fLmFPzmH6/msuAG9PuYGBfUNo3LCuwamMk3PgOMvsBX7Fml3kFxTj6ano1S2QmCgTsdEmurRvjoeHYkfGSa64NZWh1/qTl19GQlIey7/qSWCATJqK6idF/RIVl5Rw+fD7sGorfyyah09t17xk/LLhM9i+s5h3pgzixqtc94eTI5SVWUnZkm2/eCqDzdtte774N/FlYN9QYs2hrNtYiw+/OMC7U9vz6Is7sZgb8v5rnQxOLmoiKepVYPmaFG4d9xSP3Xcnj9x7h9FxLtjXP69l/LO/0altbX5f9JjRcZzegUMFLFttnzxes4u8Y4Uo5YnW/QAwR9QlMfkkn77Zmdhox1/lKsTppKhXkfsmTeW35UnEfzGfoMAWRseptLKycjpZXqKwSJH03YO0buHaV8lWt/JyK6n2ZZ4fLCrk2PH/Luf0rVvOlMcbcVm/ULeYWBauQYp6Fdm3/yADh47CHNGDj19/yeg4lTbh+c/48scsbrsxhNeeudXoOC5Na83qDYf5/tcs4hLzyDlQTFnZRpSy0r1TCyzm0IoLslxhCahwTVLUq9B7n37JS2/O58OZ/8eggVFGxzmvjN37GTB0Lr51NWnxz+LhIYWmKlmtms3bc21Xtyams2GL/WKt+j4M6BNCjNmEJSqUZg7YOkHUXFLUq1BpWRlX3nY/JwqLSPhyPnV8fM7/IgPF3Pwqf+0qZe60q7nu8p5Gx3F7R4/ZNjlLSKr6Tc6EOEWKehVLWr+JoWMf46GRt/LkA/cYHeesvvg+iUf+L46uHXxYunCi0XFqHKtVs23HfuLtV7ee2o64vl9t+vW2bUc8MCqUls3rGx1VuBgp6g4w/tnp/PD7cn5fNBdTG+e7CKWkpJTOsVMpLlas/WE8LZo3NjpSjZdfUMSKNZkV++qc3jgkJsqEJTqUyB6tqeUto3hxblLUHeDAoSMMGDKSnt06sfCtl6tsy9eqMu7pj/lmaTZ339yWqU/eYnQc8Q9aa7anHyQhMcPe4m8PpWXWitZ+pyZcjWrtJ5ybFHUH+WDRNzw7413mTnuG6y4fYHScCn/tysFy83zq1dNs/UMmR11BwYliVq3bXTHhmp2bD0C7EFtrP0uUiT49W1O7Vo1tIyxOI0XdQcrKyrnmzgc5nHeM5UsW4Fu3jtGRAOh30zR2ZZXx4azrGTSgu9FxxAVyptZ+wjlJUXeg5E3buGHkBO4fcTPPPDza6Dh8+tUKnnplBWGd6/DjJ48YHUdUgXO19ou1NwVxZGs/4XyqtKgrpVoDnwABgBWYp7V+Uyn1AjAaOGh/6mSt9U/nei93KOoAE1+cyZIff+fXz+fQwRRsWI6iolK6XDaVklLF+p8m0KypnI91N1prdu05esbWflG9giq2Tg4NqrrWfsL5VHVRbwG00FqnKKXqAeuBG4FbgAKt9YzKBnOXon74aB4DhoyiU9sQvpz7mmH/mMY88QE/xuUy+raOvPDoTYZkENWrsKiU1SlZtmWTZ2jtZzGbiI649NZ+wrk49PSLUupb4G0gmhpa1AE+/eoHnnplNm+99CQ3XX1ZtR9/+85sLhu+gIb1YfPvz8jkaA11qrVffGI6q9btrmjt1ye8NTGX2NpPOA+HFXWlVDCwHOgKPArcDeQDycBErfXRM7xmDDAGICgoqNfu3bsrfTxnVl5ezvX3TGDf/oMs+2oB9f2qd3OnqBteISu7nM9mD8Zi7lKtxxbO6Xyt/WKjTURHVL61n3AeDinqSik/YBkwVWv9tVKqOXAI0MBL2E7RjDzXe7jTSB1g47YdXHvXeEYOv5EXJ95fbcddsCie52YkEdHdl28/eLjajitcy96cYxUFfsXaTE6c/G9rv1iziRjz+Vv7CedQ5UVdKeUN/AAs1VrPOsPjwcAPWuuu53ofdyvqAJOmzeazr3/il8/eoUt7k8OPd7KomK6xr1BWBqm/TqRxw3oOP6Zwfada+526urWyrf2Ec6jqiVIFfAwc0VpPOO3+FlrrHPvtR4A+Wuvh53ovdyzqR4/lM2DIKEKDAvnP+7Mcfm777kfn89vyg4y7uwuTH7zBoccS7utcrf0sZhMW839b+wnjVXVR7wesADZjW9IIMBm4FQjDdvolExh7qsifjTsWdYDF3y3l0RdnMuu5iQy7/kqHHWfz9iyuuuNjmjSC1KVPy+SoqBKnWvvFrUonIenvrf1iokKxRIUyoG8ojRo4x8V2NZFcfFTNrFYrg+99lIysbJZ/tYBGDRyzC1/v614mO9fK4jlD6RfZ0SHHEOLAoQISVmeQkJhR0drPw0MR1qUlsfZlk907tZBRfDWSom6ArTvSueqOcdw++BqmTXqoyt//vU9/56U319K3Zz2+mje+yt9fiDM5vbVf/Kp0NqbloDU0bliHmCjb1a0xUSHS2s/BpKgb5LmZc/hg0Tf88NFswrp0qLL3LThZRNfLpqGtkPrrYzRqIF11hDEOHz1hb9CdwbLVGRw+ehKloEenFsRIaz+HkaJukPyCEwwcMooWzZvy/Ydv4ulZNftkj3hoLnGJh3lkdA8eG3ttlbynEJfKatVsSsupuPjpn639LNEmYvpKa7+qIEXdQP/5JY4Hn5nGtEkPMWLIdZf8fimbM/jXPQvxbwKpS5+tgoRCOMap1n7xibYJ14P21n5dOzS3r6gJpVe3Vnh5ySj+QklRN5DWmpvve4K0vzJY/tUCmjRqeEnv1+vqKeQe1Hw9fzh9wttVTUghHKwyrf1izCZaNJPrLCpDirrBdmTs5opb72PotZcz87mL7xU6+4NfmP5uCv17N2TRuw9UYUIhqtex40WsXHvm1n4Ws4kYs7T2Oxcp6k5gypvzmfPpl3yz4HUie1z43iz5BSfpdvmrAGz+/Qnq+9Wt6ohCGOJUa7/4VbYCf3prv/69gyv2qQkMkK2kT5Gi7gROnCxk4M2jaNSgPj9/8g5eXhc2Ahn+wLusWJvHkw/05KGRVzkopRDGk9Z+5ydF3Un88Ptyxj41hRcfu59RwwdX+nVrNvzFTaMXEeDvwfqfn3ZgQiGcy6nWfqeubj29tV90ZBss9qYgbWpYaz8p6k5Ca83t4yeTsjmNZV8toHnTJpV6XfiVL3HgMHz/4e307Bbq4JRCOK+ThSWsSt5Ngr1/66nWfqFBjSuagvTt6f6t/aSoO5GMrGwuGzaG6y4fwFsvPXne58+Y+yOvz9+IxdyEz2aPrYaEQriG01v7xSemk7Q+q8a09pOi7mRenfMRby74nCVzZxDVq/tZn3f0WAE9Bs3A0wM2//EUfnVlG1QhzuZsrf3aBDasuLrVXVr7SVF3MoVFRVhuGU1dHx+Wfj4Hb68zT/gMGfMWq1OO89yE3oy94/JqTimEaztXa79TFz+5ams/KepO6NdlSdwz8XmefXg09424+X8eX7luO8PuX0JggAdrf5hsQEIh3EdRcRlrU/dUXN16emu/UwW+X2Qwfr6u0dpPirqTuuuRZ0lM3siyJQto2dy/4n6r1UrYoCkczlP88tlddOsYZGBKIdzP+Vr7WaJNdDQ5b2s/KepOKis7B8sto7m8f1/mTnum4v6X3/6Wdz7ayqAB/nw4a7SBCYVwf2dt7desHpaoUGKinK+1nxR1J/b6+58x471P+PztlxnYN4IjeccJGzQTLy/YEjeJuj6u8XVQCHeRc+A4CfYCf3prv4jurWxXt5pNdDa4tZ8UdSdWVFzCZcPHoJTij0VzueW+OSRvOsFLj5sZOSzG6HhC1GilZeVs2LKPuFW2ZZNb/twPnNbaz2xiQJ+Qam/tJ0XdySUkJXP7+MlcE3sFP8UVExToSdK3k4yOJYT4h7O19gvv2rLi6tbqaO0nRd0F3Pv4i/wcnw/U549Fo+jYNtDoSEKIcygvt7Jh6z7bhOsZWvtZzCYG9nVMa78LKeo1d4ccg/XvM4if4+O48cpWUtCFcAGenh5EdG9FRPdWPDZ2wGmt/WzLJr/+eWtFaz9LtImYqFBDWvvJSN0AJ06WMGDoXJo0rMtPn9wjnWCEcHHna+03aGB7bryy80UvmZSRupN7ff5Kcg8cZ+60wVLQhXADHh6KsC4tCevSkofuMbNs9S6mvPkHf2Yc4rvf0vjutzQ6tfWnY9tmDs8iRb2a7cg4yPzP1zL8+h5EdG9ldBwhRBU4dORExcVNy1bv4uixQpSC8K4tiTWbuGJAu2op6FCJoq6Uag18AgQAVmCe1vrN0x5/DHgN8NdaH3JUUHegtWby9KX4+dZi8vgYo+MIIS5SWZlt0vTUjpGb0nIBaNKoLrHRJmLNJgb0DaFxw+rvWFaZkXoZMFFrnaKUqgesV0r9prXeZi/4VwBZDk3pJr5duo2k9Vm88tRVDpkhF0I4zoFDBRXnzFes2UVefhEeHoqeXQN5/L4BxEab6NohwNCLlKASRV1rnQPk2G8fV0qlAYHANuB14AngW0eGdAfHC4p58Y0/6NG5BbcPDjM6jhDiPMrKrKzfvJe4RNsSxq07bBciNWviy6CB7bGYQ+nfu/ovRDqfCzqnrpQKBsKBNUqp64FsrfXGc83oKqXGAGMAgoJq7kZVM+et4MDhAj6YObTalzgJISrn1JYBcYnprFyb+bctA54aF4PFbKJzu2aGj8bPpdJFXSnlB3wFTMB2SuZpYND5Xqe1ngfMA9uSxotK6eLSdh7gg8XruH1wOGFdWhodRwhhV1pWzrrUvSQkZRCXmP7fzb38/bj2so5OubnX+VSqqCulvLEV9IVa66+VUt2AEODUKL0VkKKU6q21znVYWhektWbytF+o7+fDkw8MNDqOEDVedm4+CUnpFdvwFpz47za8kx+0YIk20amt827Dez6VWf2igAVAmtZ6FoDWejPQ7LTnZAIRsvrlfy35cQtrU/cy45lrDJkJF6KmKy6xNcw4dXn/n/aGGS2a1+OGQZ2xmE30iwymnp977JBamZF6NDAC2KyUSrXfN1lr/ZPDUrmJY8eLmDL7D3p2C2TY9T2MjiNEjbFnXx7xibaVKivXZXKysBRvLw96h7fmln91x2I20T7UNVvbnU9lVr+sBM75ybXWwVUVyJ28NmcZR/IK+Wz2cKeeWBHC1RWXlLEmZQ9x9nXjOzMPA9CqRQOGXNOVWLOJ6MhgfOu6fhPq85ErSh1k8/ZcPl6Swp1DetKtY4DRcYRwO7v3HiU+MZ24xAwSk//baLpvzyBuHxxObHQopjZN3HI0fi5S1B3AarVdOdq4YR2ekMlRIapEYVEpq1Oy7FdxZpCRdQSANoENGfav7liiTZh7BVG3jvuPxs9FiroDLP5uIymbs3njhX+51FIoIZxNRtYR29a2iRkkrt9NUXEZPrW9iOoVxN239MJiNhHSulGNG42fixT1Knb0WCFT34qnd1grhl7b1eg4QriUwqJSViXvtvUMTcwgc+9RAEKCGnP74DBiokxE9Qqijo+3wUmdlxT1KjbtnQTyC4qY+uRVMnoQ4jy01qTvPkzcqgwSktJZnZJFcUk5PrW9iI4M5t5bI7FEmwhu1cjoqC5DinoVSt26j4X/2cCo4ZF0blc922wK4WpOnCxhVfLuih0O9+w7BkDb4CaMGNKT2GgTfcKD8Kkt5eliyJ9aFSkvtzJ5+lL8G/vy2NgBRscRwmlorflr1yHbxliJ6azdsIeS0nLq1vGmX2Qw99/ZF0uUiaDAhkZHdQtS1KvIwv+ksnFbDm9PucFtrkwT4mIVnChm5bpM4lbZ+ndm5+YD0CG0KfcMi8BiDqV3WGtq15ISVNXkT7QKHD56gunvJhDVK4gbr+xsdBwhqp3Wmu3pB4lfZdvhcF3qXsrKrfjWrUX/3sE8NDIaizmUwIAGRkd1e1LUq8DLbyVQcKKEl5+8UiZHRY2RX1DEijWZtnPjSRnkHjgOQKe2/oy5vTcWs4mIHq2o5e1pcNKaRYr6JUretJdF323k/hF9aR/qb3QcIRxGa83WHQds68aT0knemE1ZuZV6vrXp3yeYWLOJgVGhtGxe3+ioNZoU9UtQVmZl8rSlBDSrxyOj+xkdR4gql5dfyPI1u0hIzCAhKYP9hwoA6NK+Offd2RdLVCi9ugfi7SWjcWchRf0SfPpVClt37Oe9aYNrxEZBwv1ZrZotf+ZW7HCYsiWb8nJNg3o+DOgbgsVsIiYqlOZN/YyOKs5CivpFOni4gFfnLGNAnxCuu6yj0XGEuGhH8k6yYs0u4hIzWLY6g4OHTwDQvVMAD95txhIVSnjXQLy8pA2jK5CifpFeejOOwqJSXnp8kEyOCpditWo2peVU7HCYunUfVqumYYM6xPQNISbKRExUCP5NZDTuiqSoX4TVKVl89dMWxt9jpm1wE6PjCHFeR/JO2jr/JNrWjR/JK0QpCOvckodHRWMxmwjr3EKaorsBKeoXqLSsnKenLyUwoD4PjTQbHUeIMyovt5K6Ladih8PUbfvQGho3rENMVCgWs4mBfUNo0sjX6KiiiklRv0AfLl7P9vSDLJgxpMbv2yycy8HDBSQk7SI+MZ1la3aRd8w2Gg/vGsjEMf2xmE1079RCunC5OSnqFyD34HFmzltObLSJKwe2NzqOqOHKyqxs2JJNnP2Uyqa0XACaNq7L5f3aEmsOpX+fEGl4XsNIUb8AL73xB6Wl5TI5Kgyz/1CBba/xpAyWr97FseNFeHgoenUL5In7BxIbbaJL++YyGq/BpKhX0sp1mXyzdBuPju4nezuLalNaVs76TdnEJ2UQvyqdrTv2A9C8qR9XxbTHEm2if+9gGtavY3BS4SykqFdCSWk5z7y6lKDAhjxwV5TRcYSbyzlwnIRE28ZYK9ZkcvxEMZ6eisgerZj0YAwxUSa6tG8m3xbFGUlRr4T3P1/LX7sO8/Ebt0gbLVHlSkrLSd64t6JpRNrOgwAENKvHv67oRExUKP37BFPfT/rdivOTon4e2bn5zJq/kkED2nF5v7ZGxxFuIjs3v6KIr1yXScGJErw8Pegd3pqnx1uwRJvoaPKX0bi4YOct6kqp1sAnQABgBeZprd9USr0E3GC/7wBwt9Z6nyPDGuH/Xv8drTUvPnaF0VGECysuKWNt6p6KPVV2ZBwCoGXz+twwqDOx0Sb6RQbj5ysNVsSlqcxIvQyYqLVOUUrVA9YrpX4DXtNaPwuglHoIeA64z3FRq9+y1Rn8+Md2Hr9vAK1bNjQ6jnAxe/blEZeYTvyqDFYlZ3KysJRa3p70Dm/NsOt7EGsOpV1IUxmNiyp13qKutc4Bcuy3jyul0oBArfW2057mC2jHRDRGcUkZT7/6KyFBjbn/zr5GxxEuoKi4jDUbsipauO3MPAxA65YNGHptNyxmE9ERbWRHT+FQF3ROXSkVDIQDa+y/nwrcCRwDLGd5zRhgDEBQUNAlRK1e7326hl1ZR1j41nDpoyjOKnPvUftKlQwSk3dTWFRK7Vqe9O0ZxB03hWMxmzC1aSyjcVFtlNaVG2ArpfyAZcBUrfXX/3hsEuCjtX7+XO8RERGhk5OTLzZrtdmzL4+Ym+cRG21i/qtDjI4jnEhhUSmrU7IqdjjclXUEgOBWjbCYbXuqmCPayCopUaWUUuu11hGVeW6lhqBKKW/gK2DhPwu63efAj8A5i7qreH7m7yileOFRmRyt6bTWZGQdqdjhMGl9FkXFZfjU9sLcqw0jb+lFjNlEaFBjo6MKAVRu9YsCFgBpWutZp93fTmv9l/231wPbHROxev2+cidLl+1g8oMWAgOk12JNdLKwhMT1WcSvsi053J2dB0BoUGNuvykcS1QofXsGyWhcOKXKjNSjgRHAZqVUqv2+ycAopVQHbEsad+MGK18Ki0p57rVfaRvchNG39zY6jqgmWmvSdx8mbpVtNL5mQxbFJeXU8fEmOrINY27vjcVsoo1sDyFcQGVWv6wEzjTL81PVxzHWux8nsTs7j8VzbqOWtzTSdWcnTpawal1mxQ6He/YdA6BdSBPuHNqLWLOJ3uGt8aktk+TCtcjfWLvMvUd55+MkbhjUmX6RwUbHEVVMa82OjEO2qziTMli7YQ8lpeXUreNNv8hgHrgzCos5VK5HEC5Pijq2f/DPvvYrXl6ePPfIZUbHEVXkeEExK9dl2i/Hz2Df/nwAOoQ2ZeTwCCxmE73DWsu3MuFWpKgDvy77i7hV6Tw34TIC/OsZHUdcJK01aTsPVuxwuC51L2XlVvx8a9G/dzAT7o0mJsokE+DCrdX4ol5YVMpzM3+jo8mfkcMrtQxUOJH8giKWr95lW3KYlEHugeMAdGrXjLF39MFiDiWiRyu8vWQ0LmqGGl/UZ3+wir05x/hq3h3yD98FaK3ZuuNAxQ6HyZv2Ul6uqe9Xm/59Qog1mxgYFUqLZvKNS9RMNbqop+8+zHufrmHINV3p29N1tjCoafLyC1m+ZhfxiRkkJKZz4PAJALp2aF4xwdmzW6D8UBaCGlzUT02O1q7lxTMPxRodR5zGatVs+TOXuFW2Cc6ULdlYrZqG9X0Y0CeEGLOJmKhQmjf1MzqqEE6nxhb1H//YzrLVu3jpsStoJsXBcEfyTrJ89S7iEtNZtjqDQ0dOAtCjcwvG32PGYjYR3qUlXl4eBicVwrnVyKJ+4mQJz8/6nS7tm3Pn0F5Gx6mRrFbNxm05FevGU7fuw2rVNGpQh4F9Q7DYR+NNG/saHVUIl1Iji/ob768k98Bx5k4bLCO/anT46AkSknaRkGS7ivNIXiFKQViXlkwYFY0l2kSPTi3w9JT/J0JcrBpX1HdkHGTewrUMv74HEd1bGR3HrZWXW9mwdZ9tueGqdDam5aA1NGlUl5goE7HRJgb2DaFxw7pGRxXCbdSooq615ulXf8XPtxaTx8cYHcctHTxcQELSLuIT01m2Zhd5xwrx8FCEd23JxLEDiDWb6NYxAA8PaRohhCPUqKL+7dJtJCbv5pWnrqJJIzlXWxXKyqxs2JJt68WZmMHm7bkA+Dfx5Yr+bbGYTQzoE0KjBnUMTipEzVBjivrxgmJefOMPenRuwe2Dw4yO49L2HyqouBR/xZpMjh0vwtNT0atbIE8+MBCL2USX9s1lNC6EAWpMUZ85bwUHDhfwwcyhMhF3gUrLylm/Kdvewi2dbTsOANC8qR9XWzoQYw5lQJ8QGtTzMTipEKJGFPW0nQf4YPE6brsxjLAuLY2O4xL27c+vmOBcsTaT4yeK8fL0ILJHKyY/aCHGHErnds2kobIQTsbti7rWmsnTfqG+nw9PjYsxOo7TKiktZ93GPcSvyiAhKZ20nQcBaNG8HtcP6kRMVCj9egdT309G40I4M7cv6kt+3MLa1L3MeOYaWTr3D9m5x4hbZVszvmJtJidOluDt5UHv8NY881AsFnMoHUz+MhoXwoW4dVE/dryIKbP/oGe3QIZd38PoOIYrLiljzYY9ttMqiensyDgEQGBAfQZf1YVYs4noyDb4+dY2OKkQ4mK5dVF/bc4yjuQV8tns4TV2JUZWdh7xSenEr8pgVXImJwtLqeXtSZ/w1gy/vgex0SbaBjeR0bgQbsJti/qW7bl8vCSFO4f0pFvHAKPjVJui4jLWbMiy73CYTvruIwAEBTbk5uu6YTGbMPdqg2/dWgYnFUI4glsWdatVM2n6Uho1qMMTDww0Oo7DZe49Svwq23LDxOTdFBWXUbuWJ1G92nDn0J7ERJkwtWkso3EhagC3LOpffL+JlM3ZvP7CdW65drqwqJSk9VkV68Yz9xwFILh1I267MQyL2URUryDq+HgbnFQIUd3crqgfPVbI1Lfi6B3Wipuv7WZ0nCqhtSYj64i9hVsGq1OyKCouw6e2F+aINtw7PJIYcyghrRsbHVUIYbDzFnWlVGvgEyAAsALztNZvKqVeA/4FlADpwD1a6zwHZq2Uae8kcOx4EVOfvMqlTzecLCxhVfJu4hPTSUjMYHd2HgCmNo2546ZwLGYTfcJby2hcCPE3lRmplwETtdYpSql6wHql1G/Ab8AkrXWZUmo6MAl40oFZzyt16z4W/mcDo4ZH0rldMyOjXDCtNTszD1esG1+dkkVJaTl1fLyJjmzDmDv6EGs2ERTY0OioQggndt6irrXOAXLst48rpdKAQK31r6c9bTUw1DERK6e83Mrk6Uvxb+zLY2MHGBml0k6cLGHl2kzbksPEDPbmHAOgXUgT7r6lV8VovHYttztLJoRwkAuqFkqpYCAcWPOPh0YCi8/ymjHAGICgoKALT1hJn3+TysZtObw95Qbq+TnnxTNaa3ZkHKqY4Fy7YQ+lZVZ869aiX2QwD94dhcVsolWLBkZHFUK4qEoXdaWUH/AVMEFrnX/a/U9jO0Wz8Eyv01rPA+YBRERE6EtKexaHj55g2jsJRPUK4sYrOzviEBfteEExK9dlVkxy7ttv+6PraPLn3lt7Y4kOJbJHa2p5exqcVAjhDipV1JVS3tgK+kKt9den3X8XcB1wmdbaIQW7Ml55O4GCEyW8/OSVhk+Oaq1J23mQePvFP+s27qWs3Eo939r07x3MI6P7ERMVSsvm9Q3NKYRwT5VZ/aKABUCa1nrWafdfhW1idKDW+qTjIp5b8qa9/Pvbjdw/oi/tQ/0NyXDseBEr1uwiPtG2w2HuwQIAOrdvxn0j+mAxm+jVPRBvLxmNCyEcqzIj9WhgBLBZKZVqv28yMBuoDfxmHx2v1lrf54iQZ1NebmXytKUENKvHI6P7VdtxtdZs/XO/vYVbOus3Z1NerqnvV5sBfUOINZsYGBVKgH+9asskhBBQudUvK4EzndP4qerjXJhPlqSwdcd+3ps22OF7meTlF7Js9S4SkjJISEznwOETAHTrGMADd0YRG22iZ9dAvLykq5IQwjguu1bu4OECXp2zjAF9Qrjuso5V/v5Wq2bz9tyKCc6ULdlYrZqG9X0Y0CcES7SJmL6hNGvqV+XHFkKIi+WyRX3K7HgKi0p56fFBVTY5eiTvJMtW7yI+MZ1lqzM4dOQkSkGPTi14aKQZi9lEeJeW0uNUCOG0XLKor9mQxZIfNzP+HjNtg5tc9PuUl1vZmJZDQmIGcYnppG7dh9bQqEEdYqJCsZhNDOwbQtPGvlWYXgghHMflinppWTmTpy0lMKA+D400X/DrDx89QUKSbTSekJTB0WOFKAVhXVry6Oj+WMwmuncKkNG4EMIluVxR/3DxeranH2TBjCHUrXP+ydHycisbtu6rODe+KS0HraFJo7rERpuINZsY0DdE+pcKIdyCSxX13IPHmTlvObFmE1cObH/W5x08XEB8Ugbxq9JZvmYXeflFeHgoenYN5LGxA4iNNtG1Q0CNbXEnhHBfLlXUX3rjD0pLy3npib9PjpaVWUnZkl2xw+Hm7bkANGviy6CB7YmJCmVAnxAaNahjVHQhhKgWLlPUVyVn8s3SbTwyuh/BrRqRe/A4CYkZxCels2JNJseOF+HpqYjo3oqnxsVgiQqlc/vmMhoXQtQoLlHUS0rLeXr6Ump5e5JfUMwVt73Pth0HAAjw9+Oa2A7ERIXSv0+IW7avE0KIynKJor7o2438teswAB9/sZ7IsFZMftCCJdpEp7b+hm/iJYQQzsIlinoHU1PuuaUX0ZHB9IsMdtr90oUQwmguUdT7hAfRJ9xxDTaEEMJdyBU2QgjhRqSoCyGEG5GiLoQQbkSKuhBCuBEp6kII4UakqAshhBuRoi6EEG5EiroQQrgRpbWuvoMpdRDYXW0HvHBNgUNGh7gEkt9Ykt94rv4Zzpa/jdbavzJvUK1F3dkppZK11hFG57hYkt9Ykt94rv4ZqiK/nH4RQgg3IkVdCCHciBT1v5tndIBLJPmNJfmN5+qf4ZLzyzl1IYRwIzJSF0IINyJFXQgh3EiNL+pKqTCl1GqlVKpSKlkp1dt+f2/7falKqY1KqcFGZz2bc3yGK5RS65VSm+3/jTU665mcI38TpVS8UqpAKfW20TnP5mz57Y9NUkrtVEr9qZS60sicZ6OUWnza3/VMpVSq/f5aSqkP7X9/NiqlYgwNehbnyO+tlPrYnj9NKTXJ4KhndI78t592f6pSyqqUCjvvG2qta/Qv4Ffgavvta4AE++26gJf9dgvgwKnfO9uvc3yGcKCl/XZXINvorBeY3xfoB9wHvG10zovI3xnYCNQGQoB0wNPovOf5LDOB5+y3xwEf2m83A9YDHkZnvID8twGL7LfrAplAsNEZK5v/H/d3AzIq8x41fqQOaKC+/XYDYB+A1vqk1rrMfr+P/XnO6myfYYPWep/9/q2Aj1LKGRu8ni3/Ca31SqDIqGCVdMb8wA3Yikqx1noXsBPofYbXOwVl6+B+C/Bv+12dgT8AtNYHgDzAaS/sOUN+DfgqpbyAOkAJkG9QvPM6Q/7T3XqW+/+HS/QodbAJwFKl1Axsp6PMpx5QSvUBPgDaACNOK/LOZgJn+QynGQJs0FoXV2ewSprA+fM7swmcOX8gsPq05+213+es+gP7tdZ/2X+/EbhBKbUIaA30sv93rUH5zuef+Zdg+8Gag22k/ojW+ohR4Srhn/lPNwzbZzmvGlHUlVK/AwFneOhp4DJs/7O/UkrdAiwALgfQWq8BuiilOgEfK6V+1lobMmq82M9gf20XYDowqDqynsml5HcGF5lfneH5hnzjO1d+rfW39tv/HA1+AHQCkrHt2ZQIGDKwucj8vYFyoCXQCFihlPpda53h0LBncJH5T722D3BSa72lUgcz+hyS0b+AY/x3vb4C8s/yvHggwui8F/oZgFbADiDa6JwX+/8AuBvnPqd+xvzAJGDSac9bCkQZnfcsn8EL2A+0OsdzEoHORmetbH7gHWzfsE/9/gPgFqOzXuifP/A6MLmy7yXn1G3nPwfab8cCfwEopULs5+JQSrUBOmCbaHFGZ/sMDYEfsRWWVcZEq5Qz5nchZ8v/HTBcKVVbKRUCtMN5T11cDmzXWu89dYdSqq5Sytd++wqgTGu9zaiA5/E/+YEsIFbZ+AJ9ge2GpDu/M+VHKeUB3Awsquwb1YjTL+cxGnjTXsCLgDH2+/sBTymlSgEr8IDW2lm39DzbZ3gQaAs8q5R61n7fIG2b9HImZ8uPUioT2yRkLaXUjdjyO1thOWN+rfVWpdQXwDZspy3Gaa3LjYt5TsP536/+zbDNFViBbGBEtaeqvDPlfwf4ENiC7RvUh1rrTdUdrJLOlB9gALBXX8ApI9kmQAgh3IicfhFCCDciRV0IIdyIFHUhhHAjUtSFEMKNSFEXQgg3IkVdCCHciBR1IYRwI/8PH5jNHMl9PlgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 2252 with population 1201151.4296927992\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.29685 0.25272 129042.72 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 2252 with population 1165301.8905734408\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.27008 0.22994 93193.1809 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 2252 with population 1135728.5501822496\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.24573 0.20921 63619.8405 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 2252 with population 1117652.2569498264\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.22358 0.19034 45543.5473 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 2252 with population 1106795.755734928\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.20342 0.17318 34687.0461 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 2252 with population 1099198.5765112236\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.18508 0.15757 27089.8668 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 2252 with population 1091702.8562721862\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.16839 0.14336 19594.1466 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 2252 with population 1086844.6357981805\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.15321 0.13044 14735.9261 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 2252 with population 1083882.6268065707\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.1394 0.11868 11773.9171 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 2252 with population 1081413.1747042637\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.12683 0.10798 9304.465 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.9331 2.28062 11775.2089 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 4.8412 5.91574 5283.5816 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57765 1.50292 1055049.9192 1\n"
     ]
    },
    {
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AP+AJ4Bt1mqGe1nq21jpCax0REGDc3XwXO8J1NhPGjqR508Y8M2UGFRUVRsdxGXcOa0mX9r5Mm53Jo2PasH5rAV//eNDoWEJUmyoVdaWUN7aC/qXW+jv74X3Ad9pmDWAFmjkmZvXo1C6U0SNuuKARrrPx9/PlxUfvZfP2XXz+3S9Gx3EZXl6KV58O48ChUjKziunXqwGvvreHYzllRkcTolpUZfWLAuYCqVrrN0956gcg1v6a9kAd4IgDMlarCWNH0qJZE7cY4Q4ZHEN0ZE9e/+ATjhw7bnQclxHRvQEjhjTno6+yufOmluQXlPPae3uMjiVEtajKSD0aGAnEKqU22H9dDcwDwpRSW4D5wJ3aBe7o8POtzwtuMsJVSvHqUw9RWFTMpBkfGR3HpUwcF4KfryefLczmnlta8dUPB1m3Od/oWEJctKqsflmhtVZa6+5a6572X79qrUu11rdrrbtqrXtpreNqInB1GHL5IPr3CXeLEW67kGDuvX0o3/78J2s2bDE6jsto2tibpx4IJmldHmHB9QgMqMPEKWlUVDj9uESIs3LdBdsXQSnF5CcfdJsR7iOjbyUosDkTp7xLebnzXVLKLyjht/i/efujFaxYm0FpmXNkvO2GQHp09mP6rEwm3NuGLX+f4LOFB4yOJcRFqbV7kJ4c4b73yQJuvf4q+vTsanSkC1a/Xj3+PeE+7nniZT7+5kfG3HqjoXm01qTuOkxCYhpxiWms3bCP8or/bmvgW78O/SNDiIkKIzbaROuWDQ3J6empeO3pMK65cxPb0woZ0Kchr8/cw7WXNSWgqXSiEq7JbbferYrCoiJibhpDAz9ffv/iA7y8XLc5sdaakY88y9qN21i6cC6BAU1r9Px5BcUsW7WbhKR04pPSOXDIdn26U7sALGYTFrOJTpc0Z836vcQnpRGfmM6+7FwA2oU0xWI2EWs20Se8DT51a3as8fRraXz5/QHen9yBh5/fwZDBzZjxcvsazSDE2ch+6ufht/gV3PPEy7z02H2Gj3Av1u69WVw6fCxXWfrz/uRnHHourTVbdxwiPjGN+MQ0kjfto6JC4+9blwF9Q4g1m4gxm2jZ3P+M79+VcZT4xHTiE9NYlZJJaVkF9Xy8MUe0JdYcRozZREjrxg79HgDHc8sYODSFsOB69OvVgPc+yWLR7K7062XMTxBC/JMU9fOgteaOR55jzcathoxwq9u0WZ/x1pwvWDBzKv0jw6v1s3Pyili2ejfxiekkJKZx6KhtX/Iu7VtgiTYRaw6jV7cgvC/gJ57ColIS12USv9L2l8SerBwAQoObYIkKw2I2EdU7mHo+3tX5lSot+Okgj728i8lPhvHBZ1n4+3ry+5c98PaqldNOwslIUT9PGfv2E3vzmBoZ4TpaUXEJscPHUMfbmz+//pA63hdeBK1WzZa/DxC30na5JGVLFlarpqG/DwP7hWIxm4iJCqNFs+rvxJSeeYz4xDQSEtNJXLeH4pJyfOp60a9XMBZzGDFRJkxtm1TbfjVWq+b6ezazO7OI5x4O4bGXd/HC+BDuvT2oWj5fiIshRf0CTJ/1GW86aIRb05asWM2d459n4kOjefCu4ef13mM5hSxbtZu4xDSWrkrnyLFCALp3Cqy8Nh7epRVeNTiCLSouY/X6vcQlphG/Mo30zGMABAc1qizw/SPbUr/exU1ubvm7gKtGbuS2GwLJOlDC6vW5LF3Yi5bN61bH1xDigklRvwBFxSVcOnws3t5eFz3CdQajJrzIstUpLF04l6DA5md8ndWq2bgt23ZtPCmdDVv3Y7VqGjWsR4x9ND6oXygBTZ2nL+qefceJT0onITGdFWszKCouo463J33C29gnXMO4JLTZBY3iX5iWzrwF2XzwagfGv7iDKwY1ZeZrHRzwLYSoOinqF+hiRrjOZu/+A8TcNIZYcyRz3njhf547evwECUm7ibePxo/lFKEU9OzcyjbyNZvo2bklnp7Ofz25pLSc1ev32lbdJKaxI922U0VQYANi7Nfi+0eG4O9XtdF2XkE5g4am0KpFXSzRjXlrzl7mf9CFAX0aOfBbCHF2UtQvQlVHuK7gnblf8frMT/jkzVdo3Cio8hr1xtRstIYmjepVFr5B/UJp2tj1t+LNOpBrm8hNSmP5mgwKTpTi5elBZM/WWKJMWKJNdGoXcNZR/He/HWLc8zv594RQPl6Qjaen4s+ve1K3jvP/JSfckxT1i7Av+yCDht1z2hGuqykpLaVTzCRKSn0A8PBQhHdtVbmapHunlnh4uG9jjNKyCpI37iMhKZ24xDRSd9r6uAQG+BETZcJiDmNA31Aa+vv8z/u01tx03xZSdxby0mOhjH9pJ08/2JZxd7c24msIIUX9Ys2Y9zVTP/iYL2ZMxmI+be8Pl7A3+yj9/jULgPcmXcegfqE0aVTf4FTGyT6Uz1J7gV++ejd5BSV4eip6dwsiJspEbLSJLu1b4OGh2JFeyOW3bGDYNQHk5JWTkJTDskW9CAqUSVNR86SoX6SS0lIuG3EfVm3lr/mz8anrmreMXzpiGtt3lfD+pMFcf6Xr/uXkCOXlVlK2ZNlvnkpn83bbni8BTX0Z1C+MWHMYazfW4eNvDvHB5PY89vIuLOZGfPRGJ4OTi9pIino1WLY6hVsefJrH77uDR++53eg45+2739Yw7vk/6dSuLkvmP250HKd36EgBS1fZJ49X7yYntwilPNG6PwDmiPokJhfy+TudiY12/F2uQpxKino1ue+Zyfy5LIn4b+YQHNTS6DhVVl5eQSfLKxQVK5J+eog2LV37LtmaVlFhZYN9mee8+UXk5v93Oadv/QomPdGYS/uHucXEsnANUtSryf6Dhxk0bDTmiB58+tYrRsepsvEvfsG3v2Ry6/WhvPHcLUbHcWlaa1atP8p//sgkLjGH7EMllJdvRCkr3Tu1xGIOq7whyxWWgArXJEW9Gn34+be88s4cPp7+bwYPijI6zjml7znIwGGz8K2vSY1/Hg8PKTTVyWrVbN5+wHZ3a2Ia67fYb9Zq4MPAvqHEmE1YosJo7oCtE0TtJUW9GpWVl3PFrfdzoqiYhG/nUM/H59xvMlDMTa+zc3cZs6ZcxbWX9TI6jts7nmvb5Cwhqfo3ORPiJCnq1Sxp3SaG3fs4D4+6haceuNvoOGf0zX+SePTfcXTt4MPiLycYHafWsVo123YcJN5+d+vJ7Ygb+NWlfx/bdsSDosJo1aKB0VGFi5Gi7gDjnp/Kz0uWsWT+LExtne8mlNLSMjrHTqakRLHm53G0bNHE6Ei1Xl5BMctXZ1Tuq3Nq45CYKBOW6DAie7ShjreM4sXZSVF3gENHjjFw6Ch6devEl+++Wm1bvlaXB5/9lB8WZ3HXTe2Y/NTNRscR/6C1ZnvaYRIS0+0t/vZSVm6tbO13csLVqNZ+wrlJUXeQefN/4PlpHzBrynNce9lAo+NU2rk7G8tNc/D312z9SyZHXUHBiRJWrt1TOeGadSAPgEtCba39LFEm+vZqQ906tbaNsDiFFHUHKS+v4Oo7HuJoTi7LFs7Ft349oyMB0P/GKezOLOfjN4cweGB3o+OI8+RMrf2Ec5Ki7kDJm7Zx3ajx3D/yJp57ZIzRcfh80XKefm05PTvX45fPHjU6jqgGZ2vtF2tvCuLI1n7C+VRrUVdKtQE+AwIBKzBba/2OUuolYAxw2P7SiVrrX8/2We5Q1AEmvDydhb8s4Y+vZtLBFGJYjuLiMrpcOpnSMsW6X8fTvJlcj3U3Wmt27z1+2tZ+Ub2DK7dODguuvtZ+wvlUd1FvCbTUWqcopfyBdcD1wM1AgdZ6WlWDuUtRP3o8h4FDR9OpXSjfznrDsD9MY5+cxy9xBxhza0deeuxGQzKImlVUXMaqlEzbssnTtPazmE1ER1x8az/hXBx6+UUp9SPwHhBNLS3qAJ8v+pmnX5vBu688xY1XXVrj59++K4tLR8ylUQPYvOQ5mRytpU629otPTGPl2j2Vrf36hrch5iJb+wnn4bCirpQKAZYBXYHHgLuAPCAZmKC1Pn6a94wFxgIEBwf33rNnT5XP58wqKioYcvd49h88zNJFc2ngV7ObO0Vd9xqZWRV8MeMGLOYuNXpu4ZzO1dovNtpEdETVW/sJ5+GQoq6U8gOWApO11t8ppVoARwANvILtEs2os32GO43UATZu28E1d45j1IjreXnC/TV23rnz43lhWhIR3X35cd4jNXZe4Vr2ZedWFvjlazI4Ufjf1n6xZhMx5nO39hPOodqLulLKG/gZWKy1fvM0z4cAP2utu57tc9ytqAM8M2UGX3z3K79/8T5d2pscfr7C4hK6xr5GeTls+GMCTRr5O/ycwvWdbO138u7Wqrb2E86huidKFfApcExrPf6U4y211tn2x48CfbXWI872We5Y1I/n5jFw6GjCgoP4/qM3HX5t+67H5vDnssM8eFcXJj50nUPPJdzX2Vr7WcwmLOb/tvYTxqvuot4fWA5sxrakEWAicAvQE9vllwzg3pNF/kzcsagDLPhpMY+9PJ03X5jA8CFXOOw8m7dncuXtn9K0MWxY/KxMjopqcbK1X9zKNBKS/re1X0xUGJaoMAb2C6NxQ+e42a42kpuPapjVauWGex4jPTOLZYvm0rihY3bh63Ptq2QdsLJg5jD6R3Z0yDmEOHSkgIRV6SQkple29vPwUPTs0opY+7LJ7p1ayii+BklRN8DWHWlcefuD3HbD1Ux55uFq//wPP1/CK++soV8vfxbNHlftny/E6Zza2i9+ZRobU7PRGpo0qkdMlO3u1pioUGnt52BS1A3ywvSZzJv/Az9/MoOeXTpU2+cWFBbT9dIpaCts+ONxGjeUrjrCGEePn7A36E5n6ap0jh4vRCno0aklMdLaz2GkqBskr+AEg4aOpmWLZvzn43fw9KyefbJHPjyLuMSjPDqmB4/fe021fKYQF8tq1WxKza68+emfrf0s0SZi+klrv+ogRd1A3/8ex0PPTWHKMw8zcui1F/15KZvT+dfdXxLQFDYsfr4aEgrhGCdb+8Un2iZcD9tb+3Xt0MK+oiaM3t1a4+Ulo/jzJUXdQFprbrrvSVJ3prNs0VyaNm50UZ/X+6pJHDis+W7OCPqGX1I9IYVwsKq09osxm2jZXO6zqAop6gbbkb6Hy2+5j2HXXMb0Fy68V+iMeb8z9YMUBvRpxPwPHqjGhELUrNz8YlasOX1rP4vZRIxZWvudjRR1JzDpnTnM/Pxbfpj7FpE9zn9vlryCQrpd9joAm5c8SQO/+tUdUQhDnGztF7/SVuBPbe03oE9I5T41QYGylfRJUtSdwInCIgbdNJrGDRvw22fv4+V1fiOQEQ98wPI1OTz1QC8eHnWlg1IKYTxp7XduUtSdxM9LlnHv05N4+fH7GT3ihiq/b/X6ndw4Zj6BAR6s++1ZByYUwrmcbO138u7WU1v7RUe2xWJvCtK2lrX2k6LuJLTW3DZuIimbU1m6aC4tmjWt0vvCr3iFQ0fhPx/fRq9uYQ5OKYTzKiwqZWXyHhLs/VtPtvYLC25S2RSkXy/3b+0nRd2JpGdmcenwsVx72UDefeWpc75+2qxfeGvORizmpnwx494aSCiEazi1tV98YhpJ6zJrTWs/KepO5vWZn/DO3K9YOGsaUb27n/F1x3ML6DF4Gp4esPmvp/GrL9ugCnEmZ2rt1zaoUeXdre7S2k+KupMpKi7GcvMY6vv4sPirmXh7nX7CZ+jYd1mVks8L4/tw7+2X1XBKIVzb2Vr7nbz5yVVb+0lRd0J/LE3i7gkv8vwjY7hv5E3/7/kVa7cz/P6FBAV6sObniQYkFMJ9FJeUs2bD3sq7W09t7XeywPePDMHP1zVa+0lRd1J3Pvo8ickbWbpwLq1aBFQet1qt9Bw8iaM5it+/uJNuHYMNTCmE+zlXaz9LtImOJudt7SdF3UllZmVjuXkMlw3ox6wpz1Uef/W9H3n/k60MHhjAx2+OMTChEO7vjK39mvtjiQojJsr5WvtJUXdib330BdM+/Iyv3nuVQf0iOJaTT8/B0/Hygi1xz1DfxzV+HBTCXWQfyifBXuBPbe0X0b217e5Ws4nOBrf2k6LuxIpLSrl0xFiUUvw1fxY33zeT5E0neOUJM6OGxxgdT4haray8gvVb9hO30rZscsvfB4FTWvuZTQzsG1rjrf2kqDu5hKRkbhs3katjL+fXuBKCgzxJ+vEZo2MJIf7hTK39wru2qry7tSZa+0lRdwH3PPEyv8XnAQ34a/5oOrYLMjqSEOIsKiqsrN+63zbheprWfhaziUH9HNPa73yKeu3dIcdgA/oO5rf4OK6/orUUdCFcgKenBxHdWxPRvTWP3zvwlNZ+tmWT3/22tbK1nyXaRExUmCGt/WSkboAThaUMHDaLpo3q8+tnd0snGCFc3Lla+w0e1J7rr+h8wUsmZaTu5N6as4IDh/KZNeUGKehCuAEPD0XPLq3o2aUVD99tZumq3Ux65y/+Tj/CT3+m8tOfqXRqF0DHds0dnkWKeg3bkX6YOV+tYcSQHkR0b210HCFENThy7ETlzU1LV+3meG4RSkF411bEmk1cPvCSGinoUIWirpRqA3wGBAJWYLbW+p1Tnn8ceAMI0FofcVRQd6C1ZuLUxfj51mHiuBij4wghLlB5uW3S9OSOkZtSDwDQtHF9YqNNxJpNDOwXSpNGNd+xrCoj9XJggtY6RSnlD6xTSv2ptd5mL/iXA5kOTekmfly8jaR1mbz29JUOmSEXQjjOoSMFldfMl6/eTU5eMR4eil5dg3jivoHERpvo2iHQ0JuUoApFXWudDWTbH+crpVKBIGAb8BbwJPCjI0O6g/yCEl5++y96dG7JbTf0NDqOEOIcysutrNu8j7hE2xLGrTtsNyI1b+rL4EHtsZjDGNCn5m9EOpfzuqaulAoBwoHVSqkhQJbWeuPZZnSVUmOBsQDBwbV3o6rps5dz6GgB86YPq/ElTkKIqjm5ZUBcYhor1mT8z5YBTz8Yg8VsovMlzQ0fjZ9NlYu6UsoPWASMx3ZJ5llg8Lnep7WeDcwG25LGC0rp4lJ3HWLegrXcdkM4Pbu0MjqOEMKurLyCtRv2kZCUTlxi2n839wrw45pLOzrl5l7nUqWirpTyxlbQv9Raf6eU6gaEAidH6a2BFKVUH631AYeldUFaayZO+Z0Gfj489cAgo+MIUetlHcgjISmtchveghP/3YZ34kMWLNEmOrVz3m14z6Uqq18UMBdI1Vq/CaC13gw0P+U1GUCErH75/xb+soU1G/Yx7bmrDZkJF6K2Kym1Ncw4eXv/3/aGGS1b+HPd4M5YzCb6R4bg7+ceO6RWZaQeDYwENiulNtiPTdRa/+qwVG4iN7+YSTP+ole3IIYP6WF0HCFqjb37c4hPtK1UWbE2g8KiMry9POgT3oab/9Udi9lE+zDXbG13LlVZ/bICOOs311qHVFcgd/LGzKUcyyniixkjnHpiRQhXV1JazuqUvcTZ143vyjgKQOuWDRl6dVdizSaiI0Pwre/6TajPRe4odZDN2w/w6cIU7hjai24dA42OI4Tb2bPvOPGJacQlppOY/N9G0/16BXPbDeHERodhatvULUfjZyNF3QGsVtudo00a1eNJmRwVoloUFZexKiXTfhdnOumZxwBoG9SI4f/qjiXahLl3MPXruf9o/GykqDvAgp82krI5i7df+pdLLYUSwtmkZx6zbW2bmE7iuj0Ul5TjU9eLqN7B3HVzbyxmE6FtGte60fjZSFGvZsdzi5j8bjx9erZm2DVdjY4jhEspKi5jZfIeW8/QxHQy9h0HIDS4Cbfd0JOYKBNRvYOp5+NtcFLnJUW9mk15P4G8gmImP3WljB6EOAetNWl7jhK3Mp2EpDRWpWRSUlqBT10voiNDuOeWSCzRJkJaNzY6qsuQol6NNmzdz5ffr2f0iEg6X1Iz22wK4WpOFJayMnlP5Q6He/fnAtAupCkjh/YiNtpE3/BgfOpKeboQ8m+tmlRUWJk4dTEBTXx5/N6BRscRwmlordm5+4htY6zENNas30tpWQX163nTPzKE++/ohyXKRHBQI6OjugUp6tXky+83sHFbNu9Nus5t7kwT4kIVnChhxdoM4lba+ndmHcgDoENYM+4eHoHFHEafnm2oW0dKUHWTf6PV4OjxE0z9IIGo3sFcf0Vno+MIUeO01mxPO0z8StsOh2s37KO8wopv/ToM6BPCw6OisZjDCApsaHRUtydFvRq8+m4CBSdKefWpK2RyVNQaeQXFLF+dYbs2npTOgUP5AHRqF8DY2/pgMZuI6NGaOt6eBietXaSoX6TkTfuY/9NG7h/Zj/ZhAUbHEcJhtNZs3XHItm48KY3kjVmUV1jx963LgL4hxJpNDIoKo1WLBkZHrdWkqF+E8nIrE6csJrC5P4+O6W90HCGqXU5eEctW7yYhMZ2EpHQOHikAoEv7Ftx3Rz8sUWH07h6Et5eMxp2FFPWL8PmiFLbuOMiHU26oFRsFCfdntWq2/H2gcofDlC1ZVFRoGvr7MLBfKBaziZioMFo08zM6qjgDKeoX6PDRAl6fuZSBfUO59tKORscR4oIdyylk+erdxCWms3RVOoePngCge6dAHrrLjCUqjPCuQXh5SRtGVyBF/QK98k4cRcVlvPLEYJkcFS7FatVsSs2u3OFww9b9WK2aRg3rEdMvlJgoEzFRoQQ0ldG4K5KifgFWpWSy6NctjLvbTLuQpkbHEeKcjuUU2jr/JNrWjR/LKUIp6Nm5FY+MjsZiNtGzc0tpiu4GpKifp7LyCp6dupigwAY8PMpsdBwhTquiwsqGbdmVOxxu2LYfraFJo3rERIVhMZsY1C+Upo19jY4qqpkU9fP08YJ1bE87zNxpQ2v9vs3CuRw+WkBC0m7iE9NYuno3Obm20Xh41yAmjB2AxWyie6eW0oXLzUlRPw8HDuczffYyYqNNXDGovdFxRC1XXm5l/ZYs4uyXVDalHgCgWZP6XNa/HbHmMAb0DZWG57WMFPXz8Mrbf1FWViGTo8IwB48U2PYaT0pn2ard5OYX4+Gh6N0tiCfvH0RstIku7VvIaLwWk6JeRSvWZvDD4m08Nqa/7O0sakxZeQXrNmURn5RO/Mo0tu44CECLZn5cGdMeS7SJAX1CaNSgnsFJhbOQol4FpWUVPPf6YoKDGvHAnVFGxxFuLvtQPgmJto2xlq/OIP9ECZ6eisgerXnmoRhiokx0ad9cfloUpyVFvQo++moNO3cf5dO3b5Y2WqLalZZVkLxxX2XTiNRdhwEIbO7Pvy7vRExUGAP6htDAT/rdinOTon4OWQfyeHPOCgYPvITL+rczOo5wE1kH8iqL+Iq1GRScKMXL04M+4W14dpwFS7SJjqYAGY2L83bOoq6UagN8BgQCVmC21vodpdQrwHX2Y4eAu7TW+x0Z1gj/fmsJWmtefvxyo6MIF1ZSWs6aDXsr91TZkX4EgFYtGnDd4M7ERpvoHxmCn680WBEXpyoj9XJggtY6RSnlD6xTSv0JvKG1fh5AKfUw8AJwn+Oi1rylq9L55a/tPHHfQNq0amR0HOFi9u7PIS4xjfiV6axMzqCwqIw63p70CW/D8CE9iDWHcUloMxmNi2p1zqKutc4Gsu2P85VSqUCQ1nrbKS/zBbRjIhqjpLScZ1//g9DgJtx/Rz+j4wgXUFxSzur1mZUt3HZlHAWgTauGDLumGxazieiItrKjp3Co87qmrpQKAcKB1fbfTwbuAHIByxneMxYYCxAcHHwRUWvWh5+vZnfmMb58d4T0URRnlLHvuH2lSjqJyXsoKi6jbh1P+vUK5vYbw7GYTZjaNpHRuKgxSuuqDbCVUn7AUmCy1vq7fzz3DOCjtX7xbJ8RERGhk5OTLzRrjdm7P4eYm2YTG21izutDjY4jnEhRcRmrUjIrdzjcnXkMgJDWjbGYbXuqmCPayiopUa2UUuu01hFVeW2VhqBKKW9gEfDlPwu63VfAL8BZi7qreHH6EpRSvPSYTI7Wdlpr0jOPVe5wmLQuk+KScnzqemHu3ZZRN/cmxmwiLLiJ0VGFAKq2+kUBc4FUrfWbpxy/RGu90/7bIcB2x0SsWUtW7GLx0h1MfMhCUKD0WqyNCotKSVyXSfxK25LDPVk5AIQFN+G2G8OxRIXRr1ewjMaFU6rKSD0aGAlsVkptsB+bCIxWSnXAtqRxD26w8qWouIwX3viDdiFNGXNbH6PjiBqitSZtz1HiVtpG46vXZ1JSWkE9H2+iI9sy9rY+WMwm2sr2EMIFVGX1ywrgdLM8v1Z/HGN98GkSe7JyWDDzVup4SyNdd3aisJSVazMqdzjcuz8XgEtCm3LHsN7Emk30CW+DT12ZJBeuRf6PtcvYd5z3P03iusGd6R8ZYnQcUc201uxIP2K7izMpnTXr91JaVkH9et70jwzhgTuisJjD5H4E4fKkqGP7A//8G3/g5eXJC49eanQcUU3yC0pYsTbDfjt+OvsP5gHQIawZo0ZEYDGb6NOzjfxUJtyKFHXgj6U7iVuZxgvjLyUwwN/oOOICaa1J3XW4cofDtRv2UV5hxc+3DgP6hDD+nmhiokwyAS7cWq0v6kXFZbww/U86mgIYNaJKy0CFE8krKGbZqt22JYdJ6Rw4lA9Ap0uac+/tfbGYw4jo0RpvLxmNi9qh1hf1GfNWsi87l0Wzb5c/+C5Aa83WHYcqdzhM3rSPigpNA7+6DOgbSqzZxKCoMFo2l5+4RO1Uq4t62p6jfPj5aoZe3ZV+vVxnC4PaJieviGWrdxOfmE5CYhqHjp4AoGuHFpUTnL26BclfykJQi4v6ycnRunW8eO7hWKPjiFNYrZotfx8gbqVtgjNlSxZWq6ZRAx8G9g0lxmwiJiqMFs38jI4qhNOptUX9l7+2s3TVbl55/HKaS3Ew3LGcQpat2k1cYhpLV6Vz5FghAD06t2Tc3WYsZhPhXVrh5eVhcFIhnFutLOonCkt58c0ldGnfgjuG9TY6Tq1ktWo2bsuuXDe+Yet+rFZN44b1GNQvFIt9NN6sia/RUYVwKbWyqL/90QoOHMpn1pQbZORXg44eP0FC0m4Skmx3cR7LKUIp6NmlFeNHR2OJNtGjU0s8PeW/iRAXqtYV9R3ph5n95RpGDOlBRPfWRsdxaxUVVtZv3W9bbrgyjY2p2WgNTRvXJybKRGy0iUH9QmnSqL7RUYVwG7WqqGutefb1P/DzrcPEcTFGx3FLh48WkJC0m/jENJau3k1ObhEeHorwrq2YcO9AYs0munUMxMNDmkYI4Qi1qqj/uHgbicl7eO3pK2naWK7VVofycivrt2TZenEmprN5+wEAApr6cvmAdljMJgb2DaVxw3oGJxWidqg1RT2/oISX3/6LHp1bctsNPY2O49IOHimovBV/+eoMcvOL8fRU9O4WxFMPDMJiNtGlfQsZjQthgFpT1KfPXs6howXMmz5MJuLOU1l5Bes2ZdlbuKWxbcchAFo08+MqSwdizGEM7BtKQ38fg5MKIWpFUU/ddYh5C9Zy6/U96dmlldFxXML+g3mVE5zL12SQf6IEL08PInu0ZuJDFmLMYXS+pLk0VBbCybh9UddaM3HK7zTw8+HpB2OMjuO0SssqWLtxL/Er00lISiN112EAWrbwZ8jgTsREhdG/TwgN/GQ0LoQzc/uivvCXLazZsI9pz10tS+f+IetALnErbWvGl6/J4ERhKd5eHvQJb8NzD8diMYfRwRQgo3EhXIhbF/Xc/GImzfiLXt2CGD6kh9FxDFdSWs7q9Xttl1US09iRfgSAoMAG3HBlF2LNJqIj2+LnW9fgpEKIC+XWRf2NmUs5llPEFzNG1NqVGJlZOcQnpRG/Mp2VyRkUFpVRx9uTvuFtGDGkB7HRJtqFNJXRuBBuwm2L+pbtB/h0YQp3DO1Ft46BRsepMcUl5axen2nf4TCNtD3HAAgOasRN13bDYjZh7t0W3/p1DE4qhHAEtyzqVqvmmamLadywHk8+MMjoOA6Xse848Sttyw0Tk/dQXFJO3TqeRPVuyx3DehETZcLUtomMxoWoBdyyqH/zn02kbM7irZeudcu100XFZSSty6xcN56x9zgAIW0ac+v1PbGYTUT1Dqaej7fBSYUQNc3tivrx3CImvxtHn56tuemabkbHqRZaa9Izj9lbuKWzKiWT4pJyfOp6YY5oyz0jIokxhxHaponRUYUQBjtnUVdKtQE+AwIBKzBba/2OUuoN4F9AKZAG3K21znFg1iqZ8n4CufnFTH7qSpe+3FBYVMrK5D3EJ6aRkJjOnqwcAExtm3D7jeFYzCb6hreR0bgQ4n9UZaReDkzQWqcopfyBdUqpP4E/gWe01uVKqanAM8BTDsx6Thu27ufL79czekQknS9pbmSU86a1ZlfG0cp146tSMiktq6CejzfRkW0Ze3tfYs0mgoMaGR1VCOHEzlnUtdbZQLb9cb5SKhUI0lr/ccrLVgHDHBOxaioqrEycupiAJr48fu9AI6NU2YnCUlasybAtOUxMZ192LgCXhDblrpt7V47G69Zxu6tkQggHOa9qoZQKAcKB1f94ahSw4AzvGQuMBQgODj7/hFX01Q8b2Lgtm/cmXYe/n3PePKO1Zkf6kcoJzjXr91JWbsW3fh36R4bw0F1RWMwmWrdsaHRUIYSLqnJRV0r5AYuA8VrrvFOOP4vtEs2Xp3uf1no2MBsgIiJCX1TaMzh6/ART3k8gqncw11/R2RGnuGD5BSWsWJtROcm5/6DtX11HUwD33NIHS3QYkT3aUMfb0+CkQgh3UKWirpTyxlbQv9Raf3fK8TuBa4FLtdYOKdhV8dp7CRScKOXVp64wfHJUa03qrsPE22/+WbtxH+UVVvx96zKgTwiPjulPTFQYrVo0MDSnEMI9VWX1iwLmAqla6zdPOX4ltonRQVrrQsdFPLvkTfv4+seN3D+yH+3DAgzJkJtfzPLVu4lPtO1weOBwAQCd2zfnvpF9sZhN9O4ehLeXjMaFEI5VlZF6NDAS2KyU2mA/NhGYAdQF/rSPjldpre9zRMgzqaiwMnHKYgKb+/PomP41dl6tNVv/Pmhv4ZbGus1ZVFRoGvjVZWC/UGLNJgZFhREY4F9jmYQQAqq2+mUFcLprGr9Wf5zz89nCFLbuOMiHU25w+F4mOXlFLF21m4SkdBIS0zh09AQA3ToG8sAdUcRGm+jVNQgvL+mqJIQwjsuulTt8tIDXZy5lYN9Qrr20Y7V/vtWq2bz9QOUEZ8qWLKxWTaMGPgzsG4ol2kRMvzCaN/Or9nMLIcSFctmiPmlGPEXFZbzyxOBqmxw9llPI0lW7iU9MY+mqdI4cK0Qp6NGpJQ+PMmMxmwjv0kp6nAohnJZLFvXV6zNZ+Mtmxt1tpl1I0wv+nIoKKxtTs0lITCcuMY0NW/ejNTRuWI+YqDAsZhOD+oXSrIlvNaYXQgjHcbmiXlZewcQpiwkKbMDDo8zn/f6jx0+QkGQbjSckpXM8twiloGeXVjw2ZgAWs4nunQJlNC6EcEkuV9Q/XrCO7WmHmTttKPXrnXtytKLCyvqt+yuvjW9KzUZraNq4PrHRJmLNJgb2C5X+pUIIt+BSRf3A4Xymz15GrNnEFYPan/F1h48WEJ+UTvzKNJat3k1OXjEeHopeXYN4/N6BxEab6NohsNa2uBNCuC+XKuqvvP0XZWUVvPLk/06OlpdbSdmSVbnD4ebtBwBo3tSXwYPaExMVxsC+oTRuWM+o6EIIUSNcpqivTM7gh8XbeHRMf0JaN+bA4XwSEtOJT0pj+eoMcvOL8fRURHRvzdMPxmCJCqNz+xYyGhdC1CouUdRLyyp4dupi6nh7kldQwuW3fsS2HYcACAzw4+rYDsREhTGgb6hbtq8TQoiqcomiPv/HjezcfRSAT79ZR2TP1kx8yIIl2kSndgGGb+IlhBDOwiWKegdTM+6+uTfRkSH0jwxx2v3ShRDCaC5R1PuGB9M33HENNoQQwl3IHTZCCOFGpKgLIYQbkaIuhBBuRIq6EEK4ESnqQgjhRqSoCyGEG5GiLoQQbkSKuhBCuBGlta65kyl1GNhTYyc8f82AI0aHuAiS31iS33iu/h3OlL+t1jqgKh9Qo0Xd2SmlkrXWEUbnuFCS31iS33iu/h2qI79cfhFCCDciRV0IIdyIFPX/NdvoABdJ8htL8hvP1b/DReeXa+pCCOFGZKQuhBBuRIq6EEK4kVpf1JVSPZVSq5RSG5RSyUqpPvbjfezHNiilNiqlbjA665mc5TtcrpRap5TabP9nrNFZT+cs+ZsqpeKVUgVKqfeMznkmZ8pvf+4ZpdQupdTfSqkrjMx5JkqpBaf8v56hlNpgP15HKfWx/f+fjUqpGEODnsFZ8nsrpT61509VSj1jcNTTOkv+2045vkEpZVVK9TznB2qta/Uv4A/gKvvjq4EE++P6gJf9cUvg0MnfO9uvs3yHcKCV/XFXIMvorOeZ3xfoD9wHvGd0zgvI3xnYCNQFQoE0wNPovOf4LtOBF+yPHwQ+tj9uDqwDPIzOeB75bwXm2x/XBzKAEKMzVjX/P453A9Kr8hm1fqQOaKCB/XFDYD+A1rpQa11uP+5jf52zOtN3WK+13m8/vhXwUUo5Y4PXM+U/obVeARQbFayKTpsfuA5bUSnRWu8GdgF9TvN+p6BsHdxvBr62H+oM/AWgtT4E5ABOe2PPafJrwFcp5QXUA0qBPIPindNp8p/qljMc/39cokepg40HFiulpmG7HGU++YRSqi8wD2gLjDylyDub8ZzhO5xiKLBea11Sk8GqaDznzu/MxnP6/EHAqlNet89+zFkNAA5qrXfaf78RuE4pNR9oA/S2/3ONQfnO5Z/5F2L7izUb20j9Ua31MaPCVcE/859qOLbvck61oqgrpZYAgad56lngUmz/sRcppW4G5gKXAWitVwNdlFKdgE+VUr9prQ0ZNV7od7C/twswFRhcE1lP52LyO4MLzK9O83pDfuI7W36t9Y/2x/8cDc4DOgHJ2PZsSgQMGdhcYP4+QAXQCmgMLFdKLdFapzs07GlcYP6T7+0LFGqtt1TpZEZfQzL6F5DLf9frKyDvDK+LByKMznu+3wFoDewAoo3OeaH/DYC7cO5r6qfNDzwDPHPK6xYDUUbnPcN38AIOAq3P8ppEoLPRWauaH3gf20/YJ38/D7jZ6Kzn++8feAuYWNXPkmvqtuufg+yPY4GdAEqpUPu1OJRSbYEO2CZanNGZvkMj4BdshWWlMdGq5LT5XciZ8v8EjFBK1VVKhQKX4LyXLi4Dtmut9508oJSqr5TytT++HCjXWm8zKuA5/L/8QCYQq2x8gX7AdkPSndvp8qOU8gBuAuZX9YNqxeWXcxgDvGMv4MXAWPvx/sDTSqkywAo8oLV21i09z/QdHgLaAc8rpZ63HxusbZNezuRM+VFKZWCbhKyjlLoeW35nKyynza+13qqU+gbYhu2yxYNa6wrjYp7VCP7/j/7Nsc0VWIEsYGSNp6q60+V/H/gY2ILtJ6iPtdabajpYFZ0uP8BAYJ8+j0tGsk2AEEK4Ebn8IoQQbkSKuhBCuBEp6kII4UakqAshhBuRoi6EEG5EiroQQrgRKepCCOFG/g+6WIyz3npLlAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 2252, giving up w pop 1081413.1747042637\n",
      "loop no 9.0 for tract no 2253 with population 7412885.269587915\n",
      "loop no 10.0 for tract no 2253 with population 994663.9527702956\n",
      "loop no 11.0 for tract no 2253 with population 750073.6016453033\n",
      "loop no 12.0 for tract no 2253 with population 752460.0692346091\n",
      "loop no 13.0 for tract no 2253 with population 761965.2951254501\n",
      "loop no 9.0 for tract no 2254 with population 7340924.354624348\n",
      "loop no 10.0 for tract no 2254 with population 2284299.4399502296\n",
      "loop no 11.0 for tract no 2254 with population 1025402.8699345721\n",
      "loop no 12.0 for tract no 2254 with population 799964.0977792267\n",
      "loop no 13.0 for tract no 2254 with population 788480.4910428589\n",
      "loop no 14.0 for tract no 2254 with population 780103.7052871945\n",
      "loop no 15.0 for tract no 2254 with population 775454.3067039475\n",
      "loop no 9.0 for tract no 2255 with population 721609.2195217295\n",
      "loop no 10.0 for tract no 2255 with population 723670.1177300534\n",
      "loop no 11.0 for tract no 2255 with population 850083.0095646887\n",
      "loop no 12.0 for tract no 2255 with population 749414.4832488173\n",
      "loop no 13.0 for tract no 2255 with population 754259.2368482347\n",
      "loop no 14.0 for tract no 2255 with population 763429.4374134813\n",
      "loop no 9.0 for tract no 2256 with population 585788.7747450579\n",
      "loop no 10.0 for tract no 2256 with population 693327.8682944938\n",
      "loop no 11.0 for tract no 2256 with population 2262064.3452583114\n",
      "loop no 12.0 for tract no 2256 with population 952551.2393193766\n",
      "loop no 13.0 for tract no 2256 with population 917019.0214104973\n",
      "loop no 14.0 for tract no 2256 with population 854247.3537181865\n",
      "loop no 15.0 for tract no 2256 with population 826283.5535488846\n",
      "loop no 16.0 for tract no 2256 with population 808036.1966848823\n",
      "loop no 17.0 for tract no 2256 with population 794691.2030419925\n",
      "loop no 18.0 for tract no 2256 with population 778480.1194345035\n",
      "loop no 19.0 for tract no 2256 with population 773637.5499561618\n",
      "loop no 9.0 for tract no 2257 with population 7295472.459895386\n",
      "loop no 10.0 for tract no 2257 with population 2454627.909601502\n",
      "loop no 11.0 for tract no 2257 with population 471595.8665510239\n",
      "loop no 12.0 for tract no 2257 with population 1509927.826952471\n",
      "loop no 13.0 for tract no 2257 with population 7331605.781655902\n",
      "loop no 14.0 for tract no 2257 with population 4647355.41175634\n",
      "loop no 15.0 for tract no 2257 with population 4487673.721362175\n",
      "loop no 16.0 for tract no 2257 with population 4417886.191067368\n",
      "loop no 17.0 for tract no 2257 with population 4371433.28253943\n",
      "loop no 18.0 for tract no 2257 with population 4337943.348609472\n",
      "loop no 19.0 for tract no 2257 with population 3955893.053476566\n",
      "loop no 20.0 for tract no 2257 with population 3269138.7971044923\n",
      "loop no 21.0 for tract no 2257 with population 3258120.333253211\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.24403 0.20776 11350.7665 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.17118 0.14574 23553.3152 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.75093 0.18184 23117.5312 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 2257 with population 3253168.077367345\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.22203 0.18903 9905.5463 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.15575 0.1326 20187.3769 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.68323 0.58167 22976.4338 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 2257 with population 3248993.470411001\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.20201 0.17198 8676.4576 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.14171 0.12064 17418.7486 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.62163 0.52922 22799.5438 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 2257 with population 3245579.3306648443\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.1838 0.15648 7656.1223 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.12893 0.10977 15312.0941 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.56558 0.48151 22512.3939 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 2257 with population 3242342.9885144657\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.16723 0.14237 6808.2435 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.11731 0.09987 13602.7458 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.51459 0.4381 21833.2788 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 2257 with population 3239393.1522808126\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.15215 0.12953 6113.4423 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.10673 0.09087 12133.7837 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.46819 0.3986 21047.2059 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 2257 with population 3235434.1931288843\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.13843 0.11785 5221.3576 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.09711 0.08267 10464.389 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.42598 0.36266 19649.7262 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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36TgiA5GjkoR4QrGxsbTq3pgDh39n08pdlCpexnQkq924eZ3GbWvg5OjEppW7yOaV3XQk8ZjkqCQhMhAnJydmBS7HxdmFHgH+REVHmY5ktZzZczEnKJgzF04xZEJPuUS3AKQYhEgVRQoWY9rIhRw4/DsTZg83HccmNarUZmC3kXyxaQ1r168wHUdkAFIMQqSSJs+/Qsc3u7Nw1Qy+/+Vb03Fs0qvj+9Txe55hk/pyLOyw6TjCMCkGIVLRiH4TKV+mMv3HdOHilfOm41jN0dGRWYHLcHfzoHuAP5FRkaYjCYOkGIRIRW6ubswbH0J4xB36jHzHrs4RKJivMNNHL+Kvo38QNHOo6TjCICkGIVJZmZLlCRw0nV92/cCc5ZNNx7FJw3rN6NKmD0vWzGHzT+tNxxGGSDEIkQZat+jIK43eZPLHown94zfTcWwS0DuISr5V6T+2K+cuJntFfZHJSTEIkQaUUkwcNpciBYvTc1g7/r11w3Qkq7m6uDJ3fAjR0VH0GdGRuLg405FEOpNiECKNZPfKwZygYC5cOsv7Qd3t6hwBnxJlGf/BTHbs3cbMJRNMxxHpTIpBiDT0dKWavN99DF9/9xmrvlhiOo5N3ny5Ha+92JZpC8ex8/dfTMcR6UguiSFEGouPj+ft3i+za9+vfBu8g7KlKpiOZLXbd27RxL8W0dFRbF61m1w5cpuOJFIgl8QQwo44ODgwY8wSvDyz0X3o20RERpiOZDUvz2zMGx/C5asXGBTYza6Gw8Tjk2IQIh3kz1uQGWOWcPj4n4z96H3TcWzyVPmnGdoriI0/fsXy/5tvOo5IB1IMQqST52s35r12A1jxf/PZ8MPnpuPYpGvbPjSo05Sx0wfz199/mI4j0pjMMQiRjqJjonm183OE/XOcLatDKVKwuOlIVrty7RKN2viRI3tONqzYgYe7p+lIIhGZYxDCTrk4uzAnKJjYuFh6DmtPbGys6UhWy5s7PzMDl3Es7Aijpg40HUekISkGIdJZyWKl+XDobHbv3870ReNMx7FJ/ZoN6NlxMKu+WMKXm9eajiPSiBSDEAa89mJb3ny5HTMWT2B76E+m49hk0LujeLpyLT4I6sHpsydNxxFpQIpBCEOC3p9ByWKl6T2iA9duXDEdx2rOTs7MDQpGKUWPYe2IiY0xHUmkskcWg1KqmFJqq1LqkFLqT6VUX8v9a5RS+yx/wpRS+1JYvqlS6ohS6phSakgq5xfCbnl6eDFvfAjXblxhwJiudnWOQLHC3kwaPo/fD+5iyvwxpuOIVGbNHkMsMFBrXR54BuiplKqgtX5La11Va10V+AxY9+CCSilHYA7wIlABaKOUsp/TPoVIY5XKVWNYnwls+fkblqyZYzqOTZo3fIO3W3ZmzrLJ/LzrB9NxRCp6ZDForc9rrfdabt8CDgFF7j6ulFJAK2B1MovXBI5prU9oraOBT4AWqRFciMyic+teNKzfjHEzhnDw8O+m49hkzMCplPb2pc+Ijly5dsl0HJFKbJpjUEp5A9WAnYnurg9c1Fr/ncwiRYB/Ev18hkSl8sC6uymlQpVSoZcvX7YllhB2TSnF9FGLyJ0zL90D/LkTftt0JKu5u3kwb8JK/r11nf6ju9jVN9aJlFldDEopLxKGjPpprW8meqgNye8tAKhk7kt2IFVrvUBr7ae19suXL5+1sYTIFHLnzMvMwGWc/OcYwyf3Mx3HJuVLV2Zk/8n8sH0jC1fNNB1HpAKrikEp5UxCKazUWq9LdL8T8BqwJoVFzwDFEv1cFDj3eFGFyNzq+j1Pn05DWLt+BZ9vTOnfWhlThzfe5cUXWjBh9jD+OLTXdBzxhKw5KkkBi4FDWutpDzzcEDistU7p+/92A2WUUiWVUi5Aa+CrJwksRGY2oOsIalSpw5AJvQg7c9x0HKsppZg8fD758hSke4A/t+/cMh1JPAFr9hjqAu2ABokOT21meaw1DwwjKaUKK6U2AGitY4FewCYSJq3Xaq3/TLX0QmQyTk5OzB63HEcHR3oGtCM6Jtp0JKvlypGb2eOWc/rsCYZ+2Nt0HPEErDkq6RettdJaP3X38FSt9d1f/B211h8/8PxzWutmiX7eoLUuq7X20VoHpf5bECJzKVqoBFNGzGffX6FMmjvSdByb1KpWjwFdh7Pu21V8+nWw6TjiMcmZz0JkQM0atKTd692YFzyNH3dsNh3HJn06DaX2088SMLEPx08dNR1HPAYpBiEyqFH9J1POpyJ9R3Xi0pULpuNYzdHRkZmBy3BxcaVHgD9R0VGmIwkbSTEIkUG5u7kzd3wIt+/cou+oTnZ1jkDhAkWZPnIhB4/sY/ysYabjCBtJMQiRgfn6VGTMwKls2/kdHwc/eFBgxtb4ueZ0eqsni1bP5LtfNpiOI2wgxSBEBvd2y8683PB1Js4dyd6Du0zHscmwPhOoUPYp+o/uwoXLcgqTvZBiECKDU0oxadg8CuYvQs9h7bh5+1/Tkazm5urGvPEriYgMp/eIjsTFxZmOJKwgxSCEHciRLSdzgoI5e+E0Q8b3tKtLdJf29iXo/RlsD/2R2csmmY4jrCDFIISd8HvqGQa9O4ovN69lzVfLTcexSavm7Xm1yVtMXTCW3ft3mI4jHkFlxH95+Pn56dDQUNMxhMhw4uLiaNOrGXsP7OTb4B2UKVnedCSr3bp9kyZv1yQ2LpbNq3aTM3su05EyFaXUHq21X2qsS/YYhLAjjo6OzBy7FHc3D7oH+BMZFWk6ktWyeWVnTlAwFy+fY/C49+xqOCyrkWIQws4UzFeY6aMXcejvA4ybYV/fllutUg2G9Axkww+fE7Jukek4IgVSDELYoYb1mtGlTR+Wrp3Lph/t64LF7/r35/najRk9bSCHjx00HUckQ+YYhLBTUdFRvPJOfc5cOM2WVaEULlDUdCSrXb56kUZt/cidIw/frNiOu5uH6Uh2T+YYhBC4urgyd3wI0dFR9B7Rwa7OEciXpwAzxizhyIm/GD1tsOk44gFSDELYMZ8SZRn/wUx+2/szMxaPNx3HJs8904ge7QcSsm4h33y/7tELiHQjxSCEnXvz5Xa89mJbpi8K4re9P5uOY5P3e4ylWsUaDB73HmfOnzIdR1hIMQiRCUwYMoviRUrRa0QHrt24ajqO1ZydnJkTFEx8fDw9h7UnNjbWdCSBFIMQmYKXZzbmjQ/hytWLDArsZlfnCJQoWooPh84m9I8dTFsYaDqOQIpBiEzjqfJPM7RXEJt+Ws/yTz9+9AIZyKtNW/NW8w7MXPIhv4b+aDpOlieHqwqRicTHx9Oh36v8GrqV9ct+oWLZKqYjWS084g5N/WtxJ/w2W1aHkjtnXtOR7IocriqESJaDgwPTRy8iR7Zc9AjwJzzijulIVvNw92Tu+BCu3bhC/zFd7Go4LLORYhAik8mbOz8zA5dx/NRRRk0daDqOTSr5VmVE34l89/MGFn8y23ScLEuKQYhMqH7NBvTsOJhVXyzhy81rTcexyTtv9aDxsy8TNHMoBw//bjpOliRzDEJkUjGxMbzWtQF/nzjE5lW7KV6kpOlIVrt24yqN2vrh7ubOppBdeHp4mY6U4ckcgxDikZydnJkbFIxSih7D2hETG2M6ktVy58zD7MDlnDpzgmGT+pqOk+VIMQiRiRUr7M2k4fP4/eAupnw82nQcm9Su/ix9Ow/l06+DWfftKtNxspRHFoNSqphSaqtS6pBS6k+lVN9Ej/VWSh2x3J/sl7kqpcKUUgeUUvuUUjI+JEQ6a97wDd5u2Zk5y6ewbef3puPYpF/nYdSqVo8hE3px8p9jpuNkGY+cY1BKFQIKaa33KqWyAXuAV4ECwDDgJa11lFIqv9b6UjLLhwF+Wusr1oaSOQYhUldEZDjN2tfmxr/X2bI6lLy585uOZLWzF/6hcVs/ShQtxReLf8LF2cV0pAwpXecYtNbntdZ7LbdvAYeAIkB34EOtdZTlsf+UghAiY3B382Du+BBu3r5Bv9GdiY+PNx3JakUKFmPqyAXs/2sPH84ZYTpOlmDTHINSyhuoBuwEygL1lVI7lVI/KaVqpLCYBjYrpfYopbo9ZN3dlFKhSqnQy5cv2xJLCGGF8qUrM7L/ZLZu38SCVTNMx7FJ0+db0OHN95gfMp0fft1oOk6mZ/XhqkopL+AnIEhrvU4pdRD4AegL1ADWAKX0AytUShXWWp9TSuUHtgC9tdbbHvZaMpQkRNrQWtP1/VZ89/MGvlyyjSoVqpuOZLWIyAiad6zLpasX2bI6lAJ5C5mOlKGk++GqSiln4DNgpdb67jdqnAHW6QS7gHjgPxc30Vqfs/x9CfgcqJkawe1JeESE6QhCAKCUYvLw+eTLU5AeAf7cun3TdCSrubu5M2/CSu6E36bvyE52NRxmb6w5KkkBi4FDWutpiR76AmhgeU5ZwAW48sCynpYJa5RSnkBjINN++/ftO+HsOXCIVV98y8ip82jRqR9F/BpTpn4LPt/4g+l4QgCQK0duZo9bzulzJwmY2NuurklUpmR5AgdP5+dd3zN3xRTTcTItJyueUxdoBxxQSu2z3BcALAGWWIaUooEOWmutlCoMLNJaNyPhyKXPE7oFJ2CV1truBwijoqM5FvYPR46HceR4GAePHOfHHQ8f+qpXo1o6pRPi0WpVq8eArsOZMn8s9Wv9j1YvtzcdyWptWrzDtp3fMWneKGpXf47qlWuZjpTpyCUxHiI2No6wM+fuFcChv0/y/a87iYp++Bmkzk5ONKxfi/KlSxIeGUnjZ2tTq1rldEothHXi4uJ4q3sT9h/aw8aQnfiUKGs6ktVu3v6Xxm0TjnfZtHIXObLlNBsoA0jNOQYpBhIm5M5dvMzhY5YCOHaSX3f/zsUr1x657LO1nqaSb2nKlfbG16ckpb2L4eYqx1kL+3Du4hkatfWjaMHifLX0Z1xdXE1HstqeAztp2eV5mjVoybzxK7GMTGRZqVkM1gwlZSp3wiPYsfcPTln2BHb+fpBjYf88crmnK5enWkVffH288fXxpmypEmT38kyHxEKkncIFijJ95ELeGfg6QbMCGDtwqulIVqteuRbvdx/DhNnDebZWQ9q+2sl0pEwjyxVDl8Fj2LZzb4qPlylZnJpVK1HOxxvf0t74lipB3ty50jGhEOmr8XPN6fRWTxavnkX9mg1oVP8l05Gs1qP9IH7ZtZURk/vj99QzlC1VwXSkTCHLDSUdOnaSD8bPICIyknI+JSlfuiRlS5Xgk69O8e3WY7z4QlkWTX4jTV5biIwqMiqS5u/U4/zFs2xZHUqh/EVMR7LaxSvnadTGj/x5CrB+2a+4u7mbjmSEzDGkgbLPTuFOeDQAv37RHe+ispcgspZjYUdo6l+LqhVrsGbuRhwdHU1HstrW7Zvw79OcDm++x/gPZpqOY4R8H0Ma2Lyq873b736wjuiYOINphEh/pb19CXp/Bjv2/MSspRNNx7HJC3Wa8K5/f5Z/+jHfbv3CdBy7J8Vg4V00F7PHtQDg4JGLTJr7k+FEQqS/Vs3b82qTt5i2MJDd+7abjmOTIT0DqVKhOoMC3+XshdOm49g1KYZEWjatSKvmTwEwL/g3ftxxwnAiIdKXUooPh86haMES9Bzenhs3r5uOZDUXZxfmBAUTExtDr+EdiI2NNR3JbkkxPGDc4MYUKZgdgPb91nDpym3DiYRIX9m8sjMnKJiLl88xOPBdu7pkRslipZkwZBa79v3KjMXjTcexW1IMD/D0cGHJ1DcBiIvT9B21nvh4+/kfQ4jUUK1SDYb0DGTD1i8IWbfIdBybvN7sbd54yZ+PFo9nx56HXshZpECKIRmVfAswdlAjALbtPMnHwb8ZTiRE+nvXvz/P127M6GkDOXzMvq59Of6DmZQoWopeIzpw7cZV03HsjhRDCjq95Uej+mUACJq1ld8PnjOcSIj05eDgwEejF5PNKwc9AvyJiAw3Hclqnh5ezBu/kqvXLjFwbFe7Gg7LCKQYUqCUYtqol3B3cwag44C1hEdEG04lRPrKl6cAM8Ys4ciJvxg9bbDpODapXK4aw/pMYPO2r1m2dp7pOHZFiuEhcuf0YMVHrQC4ci2cGzcjDScSIv0990wjerQfSMi6hXzz/bpHL5CBdGnTm//Va0bgjA/48+h+03Hshpz5bIXNPx0lT25Pqle2n8sECJGaYmJjaNn5eU6c/pvNq3ZTtFAJ05GsdvX6ZRq18cPLMxsbQ3bi4Z45L34pZz6ns8bPlZVSEFmas5Mzc4KCiY+Pp+ew9nZ1jkCeXPmYNW45J07/zYjJ/U3HsQtSDEIIq5QoWoqJAXMI/WMHUxeMNR3HJnX9nqf3Ox/wyVfL+HLTGtNxMjwpBiGE1Vo0eYvWr3Rk1tKJ/LJ7q+k4NhnYbSR+T9Xm/fE9OHVGrmrwMFIMQgibBA6eTqniZegzoiNXr182HcdqTk5OzAlagaODIz2HtSMm9uFf0ZuVyeSzICIyjuNhERw+Hs6R4+H3/o6Njaf6U9mpUSUbNapkp1I5T5yd5N8SAg4e2UfzjvWoX6shy6d/bldfq/nN9+vo9kFrerQfyLA+E0zHSTXy1Z7iscTGak7+c78AjhwL5/DxO4SdiSQ+PuE5Ls6K0iU9qFUt4XpRv+y6wYYfEs4cdXN1oFa17MweV5bcOZ1NvQ2RAVTyrcqIvhMZMaU/i1bPomvbPqYjWe2l/72G/2tdmbtiKvVqNuC5ZxqZjpThyB5DJhQfrzl7Iep+AVj2Ao6dDCc6JuG/t4MDeBd1o5yPJ76lPShV3A0nJweio+M5FhZxb7lTZ++fu+Hm6kAlX08WTS5Hvjwupt6eyCC01nQa+Dpbt29i/bJfqFyumulIVouIjOCl9rW59u9VtqwKJV+eAqYjPTH5BjcBJPyPeeVaDIeO3S2AOxw+Hs7RE+HcCY+/97wiBV3x9fGgnI8HpUu64+HuSFys5uSZSI4cv8OR4+GcOBVJbFzCZ8HREXxKuOPr44GvjyflfDzw9fGgRBE3HB3tZ8hApL1rN67SqK0f7m7ubAzeiZdnNtORrHbk+J80a1+bWtXqEzJzPQ4O9j1MKsWQBf17K5ajicb/D1t+oV+7cf948tw5nShXOuEXedlSHuTI7oTWmvMXoy3L3eHoiQgio+6XRokibpYCSCiOhL0Hd1xd7Pt/EpF+duzZRqvujXntxbbMGLPEdBybBH+2kCETejK8zwS6tx9oOs4TkWLIxCIi4/j7ZMS9X+R3h4HOX7x/nSYvT8f7v8h9PO4N61y9FnOvMI4cD+fm7ftfT1ogrzO+Pp74+nhQvnTCcmVKeuDpYT/f6ysyrinzxzB9YRAzxy7l9WZvm45jNa013T5ozeaf1vPF4p+oVqmG6UiPLV2LQSlVDFgBFATigQVa6xmWx3oDvYBY4But9fvJLN8UmAE4Aou01h8+KlRWKIaY2HhOno78TwGE/RPJ3f8kri6K0t73/zVftLArDg6KW7dj7/3yP3I8nEtX7x92lyObI+VKeybZCyhbykMmi0Waio2NpVX3xhw8so+NITspVbyM6UhWu3HzOo3b1sDJ0YlNK3eRzSu76UiPJb2LoRBQSGu9VymVDdgDvAoUAIYBL2mto5RS+bXWlx5Y1hE4CjQCzgC7gTZa678e9pqZqRji4zVnzkdx+NidJJPBx8IiiIm9PxFcqrj7vV/kJYu74+ioiIyK53jY/eGjf85F3Vuvm6tDkr2Gcpa9gAJ5Xezq0EGReZy98A+N2/pRvEhJvlyyDRdn+zlAYff+HbzerQHNG77B7HEr7PL/oXQ9XFVrfR44b7l9Syl1CCgCdAU+1FpHWR67lMziNYFjWusTluCfAC2AhxaDPdJac+lqzL1DQO/9i/5EOOER98f0ixZKmAhuUDcXZUp64ObmQGysJsxyGOlXW65w4nQEcZZRICdHRWlvd56ulI02LQrcmwcoXtgNBwf7+/CKzKtIwWJMHbmAzoPeZMLs4YzqP8l0JKvVqFKbgd1GMmneKJ6t1ZC3XulgOpJRNs0xKKW8gW1AJcvfXwJNgUhgkNZ69wPPfwNoqrXuYvm5HVBLa90rmXV3A7oBFC9evPqpU6ce5/2kixs3Y+8dAZT4cNAb/96fCM6Xx/necI5vKQ+yZ3NKOIz0/P3DSI+F3Z8IVgpKFHW7tweQsDfgScnibrg4y0SwsB8BE/uw/NOPCZ7xFQ3qNjUdx2pxcXG07vkivx/cxcaQ3yjtXc50JJsYmXxWSnkBPwFBWut1SqmDwA9AX6AGsAYopROtUCn1JtDkgWKoqbXu/bDXyihDSeERcfx9Mvw/BXDh0v2J4GyWieC7wzr58rqgNVy5Gp1kuVt37k8EF8zv8kABJMwDuLvJRLCwfxGRETTvWJdLVy+yZXUoBfIWMh3Jahcun6NRGz8K5i/M+qW/4ObqZjqS1dL9zGellDPwGbBSa333mzrOAOssRbBLKRUP5AUSXzzlDFAs0c9FgQz3HZkxsfGcOBX5n3mAU2fvTwS7uTpQpqQ79WrkoJyPB4ULuqKU4uatWI6eSCiMTT9d48q1+xPBOXM4Ud7Hg9eb5bPMA3hStpQHObPLCeci83J3c2fehJU09X+GPiPfYfXsDXZzjkDBfIWZPnoRHfq9StDMoQQOnm46khGP/A2lEmZhFgOHtNbTEj30BdAA+FEpVRZwAa48sPhuoIxSqiRwFmgNtE2F3I8lPl5z+lykZR7gfgEcP3V/ItjRMWEiuFI5T954OT8li7rh6KSIiIznmGXvYenaC5y9cH8i2MPdAd9SHjSsl+teAZTz8SBfHme7nMQS4kmVKVmewMHTGTzuPeYsn0zvdz4wHclqDes1o0ubPixaPZP6NRvQ+LnmpiOlO2uOSqoH/AwcIOFwVYAA4DtgCVAViCZhjuEHpVRhEg5LbWZZvhnwEQmHqy7RWgc9KtSTDiVprflt702iY+ITnRWccEZwROT9ieDiRVzxLeWBb2lPSpdwx9XVgdgkh5GGc/KfiHvXEXJ2UpQu6W4ZBvK8fxhpIVeZCBbiAVpruge8zYYfPmfdwq34PfWM6UhWi4qO4pV36nPmwmm2rAqlcIGipiM9kpzg9ghVGu9KMqSTP9FEcDkfT7y8HBMOIz2XeCI4nKjohG2hFHgXc0t0KGjCHoB3MTe5uqgQNrh5+18at62B1prNq3aTI1tO05GsdvzUUZr616JK+eqsmbcJR8eMPQcoxfAQHy36h8kfnwZgblBZUHD5asy9ieOjJ8K5nWgiuHABl4QLySU6H6C0t7tMBAuRSvYc2EnLLs/TrEFL5o1faVfDq2u/XkH/0V0Y9N4o+ncZZjrOQ0kxpODj4LMEzggDEiZ+Ex8+mvg6Qr6J/mT3kolgIdLa7GWTmDB7OJOHf0zbVzuZjmM1rTV9Rnbki01r+GzB99SsWtd0pBRJMaSgcdt9hJ2JSHJF0LvzAHlzy0SwEKbEx8fTttdL7N6/nW+Dd1C2VAXTkax2+84tmrxdk+iYaDav2k2uHLlNR0qWFEMK4uI0Dg5IAQiRAV28cp5GbfzIn6cA65f9irubu+lIVtv/1x5adHqWhvWbsXDS2gz5OyY1iyFTzaQ6OqoM+R9MCAEF8hZixpglHDp2kMAZ9nP4KkCVCtUZ0msc3279khWfLTAdJ81lqmIQQmRsL9Rpwrv+/Vn+6cd8u/UL03Fs0q1tX16o04Qx0wZx6NgB03HSVKYaShJCZHzRMdG06PQsp8+eZPOq3RQpWNx0JKtduXaJRm38yJE9J98G/4a7m4fpSPfIUJIQwm65OLswd3wIMbEx9BregdjY2EcvlEHkzZ2fGWOXcizsCKOm2vc3vj2MFIMQIt2VLFaaCUNmsWvfr3y0+JEXQ8hQnq31P3p2GMTKzxez/rv/Mx0nTUgxCCGMeL3Z27zxkj8zFk9gx55tpuPYZNB7o3m6ci3eH9edf86FmY6T6qQYhBDGjP9gJiWKlqLXiA5cu3HVdByrOTs5M2fcCrTW9BjWjpjYmEcvZEekGIQQxnh6eDFv/EquXrvEgDFdyIgHw6SkeJGSTBo+j70HdjJl/hjTcVKVFIMQwqjK5aoxrM8Etvz8DUvXzDUdxyavNHqTtq92Ys6yyfy86wfTcVKNHK4qhDBOa02H/i35eed3rF/2C5V8q5qOZLWIyHBebPcM/968wZbVoeTNnd9IDjlcVQiRqSilmD5qIbly5KFHgD/hEXdMR7Kau5sH8yas5N9b1+k/ugvx8fGPXiiDk2IQQmQIeXLlY9a45Zw4/TfDJ/UzHccm5UtXZmT/yfywfSMLV800HeeJSTEIITKMun7P0/udD1izfjlfbPzEdBybdHjjXV58oQUTZg/jj0N7Tcd5IjLHIITIUGJjY3m92/84fPwgm1buwruoj+lIVrv+7zUat62Bi4srm0J24uWZLd1eW+YYhBCZlpOTE3OCVuDo4EjPgHZEx0SbjmS1XDlyM3vcck6fPcHQD3ubjvPYpBiEEBlO0UIlmDz8Y/b9FcqkuSNNx7FJrWr1GNB1OOu+XcWnXwebjvNYpBiEEBnSS/97Df/XujIveBo/7thsOo5N+nQaSu2nnyVgYh+OnzpqOo7NpBiEEBnW6AFT8C1Vgb6jOnHpygXTcazm6OjIzMBluLi40iPAn6joKNORbCLFIITIsNzd3Jk3YSW379yk76hOdnWOQOECRZk2YgEHj+xj/KxhpuPYRIpBCJGh+fpUZPSAqWzb+R3Faroxdf5Ytv32Hbfv3DId7ZGaPP8K77TqwaLVM/nulw2m41hNDlcVQmR40THRlKztBYCDgwPx8fE4ODhQvnRlalatS40qtfGrUociBYsZTvpfkVGRNH+nHhcunWPL6lAK5iucJq+TmoerSjEIIezKrds32XtwJ7v3b2f3/h3sPbDz3iU0ChcoRs2qdahRpQ5+VWpTvnRlHB0dDSeGY2GHaer/DNUq1eSTOd+mSaZ0LQalVDFgBVAQiAcWaK1nKKVGA12By5anBmit/7OvpJQKA24BcUCsNcGlGIQQ1oqNjeWvv/+wFMV2du/bzoXL5wDw8szG05VqUbNqHfyq1OHpSjXx9PAykvOTL5cxMLAbH/QYS59OQ1J9/eldDIWAQlrrvUqpbMAe4FWgFXBbaz3lEcuHAX5a6yvWhpJiEEI8Lq01Z86furdHsXv/dg4fO4jWGkdHRyqUeYoaVepQw7JnUSh/kXTL1XNYO77+/jM+W/ADNarUTtX1Gx1KUkp9CcwG6iLFIISwA//eusHeA0mHnyKjIoCEk+lqVKlNDctchW+pimk2/HTz9r80ebsm8fHxbF61mxzZcqbauo0Vg1LKG9gGVAIGAB2Bm0AoMFBrfT2ZZU4C1wENzNdaL0hh3d2AbgDFixevfurUKVvehxBCWC0mNoY/j+y/N/wUun8HF6+cByCbZ3aqP/UMflVqU7NqXapVrIGHu2eqvfbvB3fzaufnaPL8K8z/cDVKqVRZr5FiUEp5AT8BQVrrdUqpAsAVEn7hB5Iw3NQpmeUKa63PKaXyA1uA3lrrh37zt+wxCCHSk9aa02dP3tujCN2/ncPH/wQSTlar5FsVvyp1qGkZgiqQt9ATvd7c5VMImhXAxIC5+L/WJTXeQvoXg1LKGfga2KS1npbM497A11rrSo9Yz2isGH6SYhBCmHbj5nX2/PHbvT2K3//cRWRUJJDwfc9+T9WmRpU61Kxah7KlKuDgYP1pYfHx8fj3ac7O339mw4od+PpUfOK86T35rIDlwDWtdb9E9xfSWp+33O4P1NJat35gWU/AQWt9y3J7CzBWa73xYa8pxSCEyGiiY6I5eGQfu/dtJ3T/dnb/sYPLVy8CkCNbTqpXThh+qlGlDtUq1cDdzeOh67t05QKN2vqRJ2devlmxA3c39yfKl97FUA/4GThAwuGqAAFAG6AqCUNJYcC7WuvzSqnCwCKtdTOlVCngc8syTsAqrXXQo0JJMQghMjqtNWFnjt/bo9i9fztHTxwCwMnRicrlquFXpU7CxHaVOuTPW/A/6/jpty207fUS7V7vxodDZz9RHjnBTQghMqDr/14j9I+EOYrd+3ew78/d9y6g513U594eRY0qtSlTsjwODg6MmzGEecHTWDDxE17632uP/dpSDEIIYQeioqM4cPh3S1EklMXV6wnnBOfMnovqT9WmWkU/Fn0yG205hLVooRKP9VpSDEIIYYe01pw4/fe9oafd+7dzLOzIvcdfqNOEkJnrH2vdqVkMTqmxEiGEEI+mlMKnRFl8SpTlrVc6AHDtxpV7RZH/CQ+DTS2yxyCEEJlAau4xyPcxCCGESEKKQQghRBJSDEIIIZKQYhBCCJGEFIMQQogkpBiEEEIkIcUghBAiCSkGIYQQSWTIE9yUUpcBe/0Kt7wkfIGR+C/ZNimTbZMy2TYpS7xtSmit86XGSjNkMdgzpVRoap19mNnItkmZbJuUybZJWVptGxlKEkIIkYQUgxBCiCSkGFLfAtMBMjDZNimTbZMy2TYpS5NtI3MMQgghkpA9BiGEEElIMQghhEhCiuExKKWqKqV+U0rtU0qFKqVqWu7Po5TaqpS6rZSa/ZDlRyulzlqW36eUapZ+6dNWKmyb3EqpLUqpvy1/50q/9GkrpW1jeWyoUuqYUuqIUqpJCstnuc+N5TFrtk1m/tysSfTfPEwptc9yv4tSaqlS6oBSar9S6vkUlrf9c6O1lj82/gE2Ay9abjcDfrTc9gTqAe8Bsx+y/GhgkOn3kUG3zSRgiOX2EGCi6feUDtumArAfcAVKAscBR/nc2LRtMu3n5oH3ORUYabndE1hquZ0f2AM4pMbnRvYYHo8Gsltu5wDOAWit72itfwEiTQXLAJ5027QAlltuLwdeTYOMpiS7bUh4z59oraO01ieBY0DNZJbPzJ5022Tmzw0ASikFtAJWW+6qAHwPoLW+BNwAUuVkN6fUWEkW1A/YpJSaQsJwXJ3HWEcvpVR7IBQYqLW+nor5TOrHk22bAlrr8wBa6/NKqfypnM+kfiS/bYoAvyV63hnLfcnJap8ba7dNZv7c3FUfuKi1/tvy836ghVLqE6AYUN3y965klrXpcyN7DClQSn2nlDqYzJ8WQHegv9a6GNAfWGzj6ucBPkBV4DwJu4d2I423jV17zG2jkllVcseRZ8XPjbXbxq49Ytvc1Yb7ewsAS0goylDgI2A7EJvM6m3/3JgeM7PHP8C/3D8HRAE3H3i8Iw8ZR3/gud7AQdPvKaNsG+AIUMhyuxBwxPR7SuttAwwFhiZ63iagtnxurN82mflzY3lPTsBFoOhDnrMdqJAanxvZY3g854DnLLcbAH8/5Ln/oZQqlOjHlsDBVMqVETzRtgG+AjpYbncAvkylXBlBStvmK6C1UspVKVUSKEMywwFZ9HNj1bYhc39uABoCh7XWZ+7eoZTyUEp5Wm43AmK11n89uOBjfW5MN6E9/iHh6Jo9JIzx7QSqJ3osDLgG3CZhN6+C5f5FgJ/ldjBwAPiDhA90IdPvKQNtmzwkTKj9bfk7t+n3lE7bZhgJR9wcwXJ0jnxubNo2mfZzY3l/y4D3HrjP27JNDgHfkXDZ7VT53MglMYQQQiQhQ0lCCCGSkGIQQgiRhBSDEEKIJKQYhBBCJCHFIIQQIgkpBiGEEElIMQghhEji/wHlMk74c/I/mQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 2257 with population 3230188.5365080955\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.12595 0.10723 4250.1955 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.08835 0.07522 8509.9362 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.38757 0.32996 17329.6844 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 2257 with population 3227213.5805392545\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.11459 0.09756 3865.4844 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.08039 0.06844 6786.4351 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.35263 0.30021 16462.9408 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 2257 with population 3223366.8095420487\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.10426 0.08876 3559.4667 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.07314 0.06227 5309.0599 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.32083 0.27314 14399.5625 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 2257 with population 3219967.8158555385\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.709 1.21873 3200098.7203 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.09486 0.08076 3306.1434 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.06654 0.05665 4038.8876 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 0.29191 0.24852 12524.0646 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 2257, giving up w pop 3219967.8158555385\n",
      "loop no 9.0 for tract no 2259 with population 3381023.6134700547\n",
      "loop no 10.0 for tract no 2259 with population 3381029.4267985765\n",
      "loop no 11.0 for tract no 2259 with population 923618.8431117124\n",
      "loop no 12.0 for tract no 2259 with population 772687.3787726327\n",
      "I am working on tract number 2260 of 5160 tracts\n",
      "loop no 9.0 for tract no 2260 with population 1466318.338717672\n",
      "loop no 10.0 for tract no 2260 with population 1465388.2335089736\n",
      "loop no 11.0 for tract no 2260 with population 1465367.887069306\n",
      "loop no 12.0 for tract no 2260 with population 1465361.4247252385\n",
      "loop no 13.0 for tract no 2260 with population 1164737.7815927668\n",
      "loop no 14.0 for tract no 2260 with population 601921.0393894076\n",
      "loop no 15.0 for tract no 2260 with population 682100.8003751101\n",
      "loop no 16.0 for tract no 2260 with population 714113.787923599\n",
      "loop no 17.0 for tract no 2260 with population 738918.4795833869\n",
      "loop no 18.0 for tract no 2260 with population 751400.9408806066\n",
      "loop no 19.0 for tract no 2260 with population 758802.5595265381\n",
      "loop no 20.0 for tract no 2260 with population 763036.7715499167\n",
      "loop no 9.0 for tract no 2263 with population 630783.2410779817\n",
      "loop no 10.0 for tract no 2263 with population 2477522.3941247184\n",
      "loop no 11.0 for tract no 2263 with population 3847996.730713979\n",
      "loop no 12.0 for tract no 2263 with population 1057755.707415067\n",
      "loop no 13.0 for tract no 2263 with population 943661.3978439281\n",
      "loop no 14.0 for tract no 2263 with population 859996.4535692995\n",
      "loop no 15.0 for tract no 2263 with population 827533.2479588755\n",
      "loop no 16.0 for tract no 2263 with population 804421.8507235482\n",
      "loop no 17.0 for tract no 2263 with population 790238.9012574643\n",
      "loop no 18.0 for tract no 2263 with population 782088.6533720674\n",
      "loop no 19.0 for tract no 2263 with population 776903.7453142913\n",
      "loop no 9.0 for tract no 2268 with population 767548.3952756284\n",
      "I am working on tract number 2280 of 5160 tracts\n",
      "loop no 9.0 for tract no 2287 with population 769681.0653758968\n",
      "I am working on tract number 2300 of 5160 tracts\n",
      "loop no 9.0 for tract no 2300 with population 752456.3084060226\n",
      "loop no 10.0 for tract no 2300 with population 768642.9683257267\n",
      "loop no 9.0 for tract no 2301 with population 757848.1404059003\n",
      "loop no 10.0 for tract no 2301 with population 767078.0984670866\n",
      "loop no 9.0 for tract no 2303 with population 732475.2911793013\n",
      "loop no 10.0 for tract no 2303 with population 784526.5268605838\n",
      "loop no 11.0 for tract no 2303 with population 772282.1406241099\n",
      "I am working on tract number 2320 of 5160 tracts\n",
      "loop no 9.0 for tract no 2339 with population 763235.6175671137\n",
      "I am working on tract number 2340 of 5160 tracts\n",
      "loop no 9.0 for tract no 2341 with population 553697.4877934833\n",
      "loop no 10.0 for tract no 2341 with population 582504.4997315354\n",
      "loop no 11.0 for tract no 2341 with population 1362978.8041671272\n",
      "loop no 12.0 for tract no 2341 with population 1006561.1815977631\n",
      "loop no 13.0 for tract no 2341 with population 811924.6947286673\n",
      "loop no 14.0 for tract no 2341 with population 787438.8688992242\n",
      "loop no 15.0 for tract no 2341 with population 779753.6299797723\n",
      "loop no 16.0 for tract no 2341 with population 775527.2516285626\n",
      "loop no 9.0 for tract no 2355 with population 758193.3922194962\n",
      "loop no 10.0 for tract no 2355 with population 764181.199063894\n",
      "I am working on tract number 2360 of 5160 tracts\n",
      "loop no 9.0 for tract no 2361 with population 766165.2530584153\n",
      "loop no 9.0 for tract no 2362 with population 751241.1313951672\n",
      "loop no 10.0 for tract no 2362 with population 763132.231961647\n",
      "loop no 9.0 for tract no 2371 with population 771680.1097210511\n",
      "I am working on tract number 2380 of 5160 tracts\n",
      "loop no 9.0 for tract no 2383 with population 767620.6570585035\n",
      "loop no 9.0 for tract no 2384 with population 775439.8654548409\n",
      "I am working on tract number 2400 of 5160 tracts\n",
      "loop no 9.0 for tract no 2406 with population 563215.0745610503\n",
      "loop no 10.0 for tract no 2406 with population 609961.1918052027\n",
      "loop no 11.0 for tract no 2406 with population 933409.7056876319\n",
      "loop no 12.0 for tract no 2406 with population 923219.1809131\n",
      "loop no 13.0 for tract no 2406 with population 671295.5472665615\n",
      "loop no 14.0 for tract no 2406 with population 764128.9970283927\n",
      "loop no 9.0 for tract no 2407 with population 778268.7119534521\n",
      "loop no 10.0 for tract no 2407 with population 772511.9284391135\n",
      "loop no 9.0 for tract no 2409 with population 758420.3884758439\n",
      "loop no 10.0 for tract no 2409 with population 766525.1362261599\n",
      "loop no 9.0 for tract no 2418 with population 761582.5948268671\n",
      "I am working on tract number 2420 of 5160 tracts\n",
      "loop no 9.0 for tract no 2430 with population 761432.2265771467\n",
      "loop no 10.0 for tract no 2430 with population 761543.7273366265\n",
      "loop no 9.0 for tract no 2434 with population 747355.2203176905\n",
      "loop no 10.0 for tract no 2434 with population 767201.9168851138\n",
      "I am working on tract number 2440 of 5160 tracts\n",
      "loop no 9.0 for tract no 2442 with population 919503.109274052\n",
      "loop no 10.0 for tract no 2442 with population 866423.0257463225\n",
      "loop no 11.0 for tract no 2442 with population 703653.5184212658\n",
      "loop no 12.0 for tract no 2442 with population 708633.977056601\n",
      "loop no 13.0 for tract no 2442 with population 908032.71589821\n",
      "loop no 14.0 for tract no 2442 with population 843727.7122819092\n",
      "loop no 15.0 for tract no 2442 with population 810736.275161091\n",
      "loop no 16.0 for tract no 2442 with population 793391.2803273575\n",
      "loop no 17.0 for tract no 2442 with population 783761.0586597687\n",
      "loop no 18.0 for tract no 2442 with population 777990.3178426776\n",
      "loop no 19.0 for tract no 2442 with population 774498.4997019614\n",
      "loop no 9.0 for tract no 2445 with population 745141.6352305704\n",
      "loop no 10.0 for tract no 2445 with population 813667.2780625791\n",
      "loop no 11.0 for tract no 2445 with population 770671.6039669191\n",
      "loop no 9.0 for tract no 2446 with population 763952.9283687829\n",
      "loop no 9.0 for tract no 2448 with population 767236.2829732227\n",
      "loop no 9.0 for tract no 2456 with population 768352.6149506172\n",
      "I am working on tract number 2460 of 5160 tracts\n",
      "loop no 9.0 for tract no 2464 with population 759240.9792944429\n",
      "loop no 10.0 for tract no 2464 with population 767385.1387184262\n",
      "loop no 9.0 for tract no 2466 with population 763347.6862909772\n",
      "loop no 9.0 for tract no 2468 with population 766520.217351848\n",
      "loop no 9.0 for tract no 2470 with population 765877.8711122866\n",
      "loop no 9.0 for tract no 2476 with population 727057.134999532\n",
      "loop no 10.0 for tract no 2476 with population 846767.0076978165\n",
      "loop no 11.0 for tract no 2476 with population 806979.0352919454\n",
      "loop no 12.0 for tract no 2476 with population 775009.4830745101\n",
      "loop no 9.0 for tract no 2478 with population 779339.5791453115\n",
      "loop no 10.0 for tract no 2478 with population 774611.3292233688\n",
      "I am working on tract number 2480 of 5160 tracts\n",
      "loop no 9.0 for tract no 2491 with population 777205.0955956858\n",
      "loop no 10.0 for tract no 2491 with population 776742.7390962547\n",
      "loop no 9.0 for tract no 2492 with population 746643.3692823444\n",
      "loop no 10.0 for tract no 2492 with population 769601.8518630438\n",
      "loop no 9.0 for tract no 2493 with population 769634.394206647\n",
      "loop no 9.0 for tract no 2496 with population 765630.0662321417\n",
      "loop no 9.0 for tract no 2497 with population 768284.8650852407\n",
      "I am working on tract number 2500 of 5160 tracts\n",
      "loop no 9.0 for tract no 2500 with population 777016.624996132\n",
      "loop no 10.0 for tract no 2500 with population 772140.5078955143\n",
      "loop no 9.0 for tract no 2506 with population 757730.3076367073\n",
      "loop no 10.0 for tract no 2506 with population 767909.778984312\n",
      "loop no 9.0 for tract no 2516 with population 768966.6113478516\n",
      "loop no 9.0 for tract no 2517 with population 619238.2043565022\n",
      "loop no 10.0 for tract no 2517 with population 685070.1346990508\n",
      "loop no 11.0 for tract no 2517 with population 794791.0053981153\n",
      "loop no 12.0 for tract no 2517 with population 792342.9822268949\n",
      "loop no 13.0 for tract no 2517 with population 709780.8157537889\n",
      "loop no 14.0 for tract no 2517 with population 745180.488499923\n",
      "loop no 15.0 for tract no 2517 with population 755106.6855414223\n",
      "loop no 16.0 for tract no 2517 with population 760428.1962437888\n",
      "loop no 17.0 for tract no 2517 with population 763770.0837176944\n",
      "I am working on tract number 2520 of 5160 tracts\n",
      "loop no 9.0 for tract no 2527 with population 763624.8830291559\n",
      "loop no 9.0 for tract no 2530 with population 789761.8731085216\n",
      "loop no 10.0 for tract no 2530 with population 761010.0977370382\n",
      "loop no 11.0 for tract no 2530 with population 763897.1000126157\n",
      "loop no 9.0 for tract no 2533 with population 777263.9696498581\n",
      "loop no 10.0 for tract no 2533 with population 765068.3232078432\n",
      "I am working on tract number 2540 of 5160 tracts\n",
      "loop no 9.0 for tract no 2540 with population 708769.3828271083\n",
      "loop no 10.0 for tract no 2540 with population 895480.9331315513\n",
      "loop no 11.0 for tract no 2540 with population 732173.0127772861\n",
      "loop no 12.0 for tract no 2540 with population 744599.5746620558\n",
      "loop no 13.0 for tract no 2540 with population 763815.8355047677\n",
      "loop no 9.0 for tract no 2544 with population 765399.2504979259\n",
      "loop no 9.0 for tract no 2548 with population 688726.222451432\n",
      "loop no 10.0 for tract no 2548 with population 752886.2984588325\n",
      "loop no 11.0 for tract no 2548 with population 768877.4730564954\n",
      "loop no 9.0 for tract no 2549 with population 592544.4801977705\n",
      "loop no 10.0 for tract no 2549 with population 594451.1492279427\n",
      "loop no 11.0 for tract no 2549 with population 6428940.178370794\n",
      "loop no 12.0 for tract no 2549 with population 2607345.6090280917\n",
      "loop no 13.0 for tract no 2549 with population 1053034.301540828\n",
      "loop no 14.0 for tract no 2549 with population 964927.140030669\n",
      "loop no 15.0 for tract no 2549 with population 869968.4257702437\n",
      "loop no 16.0 for tract no 2549 with population 833183.7991957195\n",
      "loop no 17.0 for tract no 2549 with population 809433.290374894\n",
      "loop no 18.0 for tract no 2549 with population 795028.7145696796\n",
      "loop no 19.0 for tract no 2549 with population 785600.1085358253\n",
      "loop no 20.0 for tract no 2549 with population 779375.2783069245\n",
      "loop no 21.0 for tract no 2549 with population 775243.4603676694\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.42004 0.41826 128880.6757 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.42129 0.41924 128621.07 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.4401 1.41897 388014.616 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.22349 1.21756 129727.0987 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 2550 with population 763503.4968694344\n",
      "loop no 9.0 for tract no 2551 with population 3354561.599861494\n",
      "loop no 10.0 for tract no 2551 with population 3353345.407374787\n",
      "loop no 11.0 for tract no 2551 with population 641273.6757242142\n",
      "loop no 12.0 for tract no 2551 with population 648541.3052194819\n",
      "loop no 13.0 for tract no 2551 with population 941161.4858902444\n",
      "loop no 14.0 for tract no 2551 with population 802608.6706352698\n",
      "loop no 15.0 for tract no 2551 with population 787538.6426927843\n",
      "loop no 16.0 for tract no 2551 with population 779760.0293166706\n",
      "loop no 17.0 for tract no 2551 with population 775572.1155051867\n",
      "loop no 9.0 for tract no 2552 with population 761021.7078739221\n",
      "loop no 10.0 for tract no 2552 with population 766611.5480938207\n",
      "loop no 9.0 for tract no 2553 with population 650611.2633922556\n",
      "loop no 10.0 for tract no 2553 with population 5312210.091040747\n",
      "loop no 11.0 for tract no 2553 with population 5296854.231496004\n",
      "loop no 12.0 for tract no 2553 with population 1582137.773407588\n",
      "loop no 13.0 for tract no 2553 with population 1196409.2424111296\n",
      "loop no 14.0 for tract no 2553 with population 997549.8920692393\n",
      "loop no 15.0 for tract no 2553 with population 894669.4810759195\n",
      "loop no 16.0 for tract no 2553 with population 839933.5183966873\n",
      "loop no 17.0 for tract no 2553 with population 791881.0189402672\n",
      "loop no 18.0 for tract no 2553 with population 781854.5451252033\n",
      "loop no 19.0 for tract no 2553 with population 776872.5436412424\n",
      "loop no 9.0 for tract no 2554 with population 682482.4909784355\n",
      "loop no 10.0 for tract no 2554 with population 842481.8205388885\n",
      "loop no 11.0 for tract no 2554 with population 721278.3769635954\n",
      "loop no 12.0 for tract no 2554 with population 738511.6039942438\n",
      "loop no 13.0 for tract no 2554 with population 764802.3301731598\n",
      "I am working on tract number 2560 of 5160 tracts\n",
      "loop no 9.0 for tract no 2562 with population 726606.6273286756\n",
      "loop no 10.0 for tract no 2562 with population 879662.4627491183\n",
      "loop no 11.0 for tract no 2562 with population 769813.7890578749\n",
      "loop no 9.0 for tract no 2564 with population 687735.2890094243\n",
      "loop no 10.0 for tract no 2564 with population 716825.072514432\n",
      "loop no 11.0 for tract no 2564 with population 765672.9656199212\n",
      "loop no 9.0 for tract no 2570 with population 774475.7107404824\n",
      "loop no 9.0 for tract no 2574 with population 765284.8106360323\n",
      "loop no 9.0 for tract no 2575 with population 741713.2515633926\n",
      "loop no 10.0 for tract no 2575 with population 750033.7261464983\n",
      "loop no 11.0 for tract no 2575 with population 775444.9012681363\n",
      "I am working on tract number 2580 of 5160 tracts\n",
      "loop no 9.0 for tract no 2585 with population 760125.6441739863\n",
      "loop no 10.0 for tract no 2585 with population 775959.5864251521\n",
      "I am working on tract number 2600 of 5160 tracts\n",
      "loop no 9.0 for tract no 2607 with population 741572.682129\n",
      "loop no 10.0 for tract no 2607 with population 772753.8555076802\n",
      "loop no 9.0 for tract no 2608 with population 768208.152936995\n",
      "I am working on tract number 2620 of 5160 tracts\n",
      "loop no 9.0 for tract no 2620 with population 841715.4217893098\n",
      "loop no 10.0 for tract no 2620 with population 669502.3673487722\n",
      "loop no 11.0 for tract no 2620 with population 679665.7804657238\n",
      "loop no 12.0 for tract no 2620 with population 904066.3094595264\n",
      "loop no 13.0 for tract no 2620 with population 904058.757979534\n",
      "loop no 14.0 for tract no 2620 with population 690198.8905928212\n",
      "loop no 15.0 for tract no 2620 with population 725723.4440751129\n",
      "loop no 16.0 for tract no 2620 with population 744503.8734176442\n",
      "loop no 17.0 for tract no 2620 with population 754333.2099180032\n",
      "loop no 18.0 for tract no 2620 with population 760268.2179169478\n",
      "loop no 19.0 for tract no 2620 with population 763859.6693106242\n",
      "loop no 9.0 for tract no 2636 with population 600060.3640395431\n",
      "loop no 10.0 for tract no 2636 with population 633223.4334016417\n",
      "loop no 11.0 for tract no 2636 with population 947327.8853970044\n",
      "loop no 12.0 for tract no 2636 with population 846398.7735919314\n",
      "loop no 13.0 for tract no 2636 with population 751932.712446051\n",
      "loop no 14.0 for tract no 2636 with population 759818.7486136736\n",
      "loop no 15.0 for tract no 2636 with population 763769.4333981015\n",
      "I am working on tract number 2640 of 5160 tracts\n",
      "loop no 9.0 for tract no 2650 with population 769262.8900029275\n",
      "I am working on tract number 2660 of 5160 tracts\n",
      "loop no 9.0 for tract no 2667 with population 928816.8339571422\n",
      "loop no 10.0 for tract no 2667 with population 595742.7433406876\n",
      "loop no 11.0 for tract no 2667 with population 629531.0407943833\n",
      "loop no 12.0 for tract no 2667 with population 933850.4282286719\n",
      "loop no 13.0 for tract no 2667 with population 909358.1798535266\n",
      "loop no 14.0 for tract no 2667 with population 604694.0346029351\n",
      "loop no 15.0 for tract no 2667 with population 678666.0380882318\n",
      "loop no 16.0 for tract no 2667 with population 706686.6465088055\n",
      "loop no 17.0 for tract no 2667 with population 720941.2306641736\n",
      "loop no 18.0 for tract no 2667 with population 734938.2522144198\n",
      "loop no 19.0 for tract no 2667 with population 745144.0096669759\n",
      "loop no 20.0 for tract no 2667 with population 751344.1455548957\n",
      "loop no 21.0 for tract no 2667 with population 756104.3312980898\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.03363 0.80673 144161.5987 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.37962 3.84989 47957.4296 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.49344 0.98614 124023.908 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.14219 1.17042 439961.395 0\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 2667 with population 760563.5424844506\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.03363 0.80673 144161.5987 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.37962 3.84989 47957.4296 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.49344 0.98614 124023.908 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.16232 1.19252 444420.6062 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 2667 with population 763218.0097319506\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 1.03363 0.80673 144161.5987 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 3.37962 3.84989 47957.4296 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.49344 0.98614 124023.908 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.17757 1.20044 447075.0735 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 2668 with population 978246.2603799588\n",
      "loop no 10.0 for tract no 2668 with population 621468.4951085153\n",
      "loop no 11.0 for tract no 2668 with population 650445.7044744049\n",
      "loop no 12.0 for tract no 2668 with population 964144.6535542154\n",
      "loop no 13.0 for tract no 2668 with population 942987.027311523\n",
      "loop no 14.0 for tract no 2668 with population 662368.1368549019\n",
      "loop no 15.0 for tract no 2668 with population 705232.4096632388\n",
      "loop no 16.0 for tract no 2668 with population 724738.0848553809\n",
      "loop no 17.0 for tract no 2668 with population 739875.4023670766\n",
      "loop no 18.0 for tract no 2668 with population 752707.6471789102\n",
      "loop no 19.0 for tract no 2668 with population 759589.1282185244\n",
      "loop no 20.0 for tract no 2668 with population 763407.7170497808\n",
      "I am working on tract number 2680 of 5160 tracts\n",
      "loop no 9.0 for tract no 2687 with population 781606.3585268916\n",
      "loop no 10.0 for tract no 2687 with population 775844.8978952987\n",
      "loop no 9.0 for tract no 2692 with population 719404.7951141989\n",
      "loop no 10.0 for tract no 2692 with population 916541.5281747256\n",
      "loop no 11.0 for tract no 2692 with population 776633.688268443\n",
      "loop no 9.0 for tract no 2693 with population 720994.2477406935\n",
      "loop no 10.0 for tract no 2693 with population 801886.6517887581\n",
      "loop no 11.0 for tract no 2693 with population 739969.9202182662\n",
      "loop no 12.0 for tract no 2693 with population 746139.5857599834\n",
      "loop no 13.0 for tract no 2693 with population 782006.4809722493\n",
      "loop no 14.0 for tract no 2693 with population 771891.5547102571\n",
      "I am working on tract number 2700 of 5160 tracts\n",
      "loop no 9.0 for tract no 2706 with population 784244.6720280868\n",
      "loop no 10.0 for tract no 2706 with population 773439.3422804623\n",
      "loop no 9.0 for tract no 2712 with population 772098.798282953\n",
      "loop no 9.0 for tract no 2718 with population 760330.714755191\n",
      "loop no 10.0 for tract no 2718 with population 762941.1671589029\n",
      "I am working on tract number 2720 of 5160 tracts\n",
      "loop no 9.0 for tract no 2722 with population 770749.4848331308\n",
      "I am working on tract number 2740 of 5160 tracts\n",
      "loop no 9.0 for tract no 2743 with population 769102.5509396936\n",
      "I am working on tract number 2760 of 5160 tracts\n",
      "I am working on tract number 2780 of 5160 tracts\n",
      "loop no 9.0 for tract no 2781 with population 769749.7077263653\n",
      "loop no 9.0 for tract no 2793 with population 767264.0875108836\n",
      "I am working on tract number 2800 of 5160 tracts\n",
      "loop no 9.0 for tract no 2800 with population 768275.5687502149\n",
      "loop no 9.0 for tract no 2804 with population 767363.5805330484\n",
      "loop no 9.0 for tract no 2807 with population 756871.739528641\n",
      "loop no 10.0 for tract no 2807 with population 765612.0844756966\n",
      "loop no 9.0 for tract no 2812 with population 758495.5071936965\n",
      "loop no 10.0 for tract no 2812 with population 766269.2697818131\n",
      "loop no 9.0 for tract no 2816 with population 767675.9438855036\n",
      "loop no 9.0 for tract no 2819 with population 766679.473003761\n",
      "I am working on tract number 2820 of 5160 tracts\n",
      "loop no 9.0 for tract no 2820 with population 953538.2909889254\n",
      "loop no 10.0 for tract no 2820 with population 649504.0912914405\n",
      "loop no 11.0 for tract no 2820 with population 655821.466553997\n",
      "loop no 12.0 for tract no 2820 with population 1046680.0225806882\n",
      "loop no 13.0 for tract no 2820 with population 1005739.5918976259\n",
      "loop no 14.0 for tract no 2820 with population 942618.1056624962\n",
      "loop no 15.0 for tract no 2820 with population 894342.4826928896\n",
      "loop no 16.0 for tract no 2820 with population 860123.2981579301\n",
      "loop no 17.0 for tract no 2820 with population 807771.3438334174\n",
      "loop no 18.0 for tract no 2820 with population 785659.2237416316\n",
      "loop no 19.0 for tract no 2820 with population 778586.9188565151\n",
      "loop no 20.0 for tract no 2820 with population 774667.2740232161\n",
      "loop no 9.0 for tract no 2821 with population 765556.8252883188\n",
      "I am working on tract number 2840 of 5160 tracts\n",
      "loop no 9.0 for tract no 2846 with population 767145.4745188114\n",
      "loop no 9.0 for tract no 2856 with population 783562.0352300898\n",
      "loop no 10.0 for tract no 2856 with population 769914.3698086126\n",
      "I am working on tract number 2860 of 5160 tracts\n",
      "loop no 9.0 for tract no 2872 with population 767823.9344867258\n",
      "loop no 9.0 for tract no 2875 with population 766917.6188341037\n",
      "loop no 9.0 for tract no 2876 with population 618213.565778428\n",
      "loop no 10.0 for tract no 2876 with population 1279142.3813080853\n",
      "loop no 11.0 for tract no 2876 with population 817520.9055205183\n",
      "loop no 12.0 for tract no 2876 with population 760632.0430166221\n",
      "loop no 13.0 for tract no 2876 with population 764312.3411285933\n",
      "I am working on tract number 2880 of 5160 tracts\n",
      "loop no 9.0 for tract no 2880 with population 757962.2788276463\n",
      "loop no 10.0 for tract no 2880 with population 763187.9598337747\n",
      "loop no 9.0 for tract no 2881 with population 760066.9914967414\n",
      "loop no 10.0 for tract no 2881 with population 764127.6975461876\n",
      "loop no 9.0 for tract no 2888 with population 764249.1899371311\n",
      "loop no 9.0 for tract no 2898 with population 967276.3825534821\n",
      "loop no 10.0 for tract no 2898 with population 676669.4993386677\n",
      "loop no 11.0 for tract no 2898 with population 693435.0151964894\n",
      "loop no 12.0 for tract no 2898 with population 858894.2513207889\n",
      "loop no 13.0 for tract no 2898 with population 797380.6283052017\n",
      "loop no 14.0 for tract no 2898 with population 787258.0640836987\n",
      "loop no 15.0 for tract no 2898 with population 779415.491342313\n",
      "loop no 16.0 for tract no 2898 with population 775280.992251996\n",
      "I am working on tract number 2900 of 5160 tracts\n",
      "loop no 9.0 for tract no 2916 with population 646917.9348755449\n",
      "loop no 10.0 for tract no 2916 with population 708720.855278436\n",
      "loop no 11.0 for tract no 2916 with population 826765.344781372\n",
      "loop no 12.0 for tract no 2916 with population 791975.5654731387\n",
      "loop no 13.0 for tract no 2916 with population 779213.3701305868\n",
      "loop no 14.0 for tract no 2916 with population 774728.0943057642\n",
      "I am working on tract number 2920 of 5160 tracts\n",
      "loop no 9.0 for tract no 2925 with population 1095674.0256844847\n",
      "loop no 10.0 for tract no 2925 with population 943446.8685332669\n",
      "loop no 11.0 for tract no 2925 with population 700903.0136960447\n",
      "loop no 12.0 for tract no 2925 with population 715896.2483963068\n",
      "loop no 13.0 for tract no 2925 with population 781815.5282100285\n",
      "loop no 14.0 for tract no 2925 with population 776532.5135110565\n",
      "loop no 9.0 for tract no 2927 with population 922632.2911930238\n",
      "loop no 10.0 for tract no 2927 with population 657214.176359754\n",
      "loop no 11.0 for tract no 2927 with population 669625.7312161811\n",
      "loop no 12.0 for tract no 2927 with population 945756.7477821393\n",
      "loop no 13.0 for tract no 2927 with population 914047.5919649684\n",
      "loop no 14.0 for tract no 2927 with population 853465.0617512201\n",
      "loop no 15.0 for tract no 2927 with population 811577.4068300311\n",
      "loop no 16.0 for tract no 2927 with population 793203.6806151081\n",
      "loop no 17.0 for tract no 2927 with population 783419.2011087555\n",
      "loop no 18.0 for tract no 2927 with population 777656.4562154422\n",
      "loop no 19.0 for tract no 2927 with population 774302.7907778393\n",
      "loop no 9.0 for tract no 2936 with population 772322.3793913625\n",
      "I am working on tract number 2940 of 5160 tracts\n",
      "I am working on tract number 2960 of 5160 tracts\n",
      "I am working on tract number 2980 of 5160 tracts\n",
      "loop no 9.0 for tract no 2991 with population 907593.0377233115\n",
      "loop no 10.0 for tract no 2991 with population 892735.6781360006\n",
      "loop no 11.0 for tract no 2991 with population 601201.4033637596\n",
      "loop no 12.0 for tract no 2991 with population 838249.5403936311\n",
      "loop no 13.0 for tract no 2991 with population 818399.3450948732\n",
      "loop no 14.0 for tract no 2991 with population 772810.0436549449\n",
      "loop no 9.0 for tract no 2992 with population 714019.0378497016\n",
      "loop no 10.0 for tract no 2992 with population 840872.797440202\n",
      "loop no 11.0 for tract no 2992 with population 802024.2950686377\n",
      "loop no 12.0 for tract no 2992 with population 773680.6441214691\n",
      "loop no 9.0 for tract no 2994 with population 569776.5251879838\n",
      "loop no 10.0 for tract no 2994 with population 601032.0601590642\n",
      "loop no 11.0 for tract no 2994 with population 951166.8475492646\n",
      "loop no 12.0 for tract no 2994 with population 934778.0798123216\n",
      "loop no 13.0 for tract no 2994 with population 838323.051203337\n",
      "loop no 14.0 for tract no 2994 with population 673259.7256554584\n",
      "loop no 15.0 for tract no 2994 with population 722155.544105788\n",
      "loop no 16.0 for tract no 2994 with population 743083.4106259777\n",
      "loop no 17.0 for tract no 2994 with population 754011.3089345742\n",
      "loop no 18.0 for tract no 2994 with population 760449.3720469427\n",
      "loop no 19.0 for tract no 2994 with population 764179.6444248857\n",
      "loop no 9.0 for tract no 2995 with population 732991.9711951725\n",
      "loop no 10.0 for tract no 2995 with population 757726.0519530305\n",
      "loop no 11.0 for tract no 2995 with population 766980.3020305294\n",
      "I am working on tract number 3000 of 5160 tracts\n",
      "loop no 9.0 for tract no 3000 with population 768965.6705221238\n",
      "loop no 9.0 for tract no 3012 with population 771302.9486415402\n",
      "loop no 9.0 for tract no 3019 with population 691123.9901680711\n",
      "loop no 10.0 for tract no 3019 with population 840274.1145138989\n",
      "loop no 11.0 for tract no 3019 with population 817306.1014651728\n",
      "loop no 12.0 for tract no 3019 with population 744434.5684002384\n",
      "loop no 13.0 for tract no 3019 with population 758908.9290890397\n",
      "loop no 14.0 for tract no 3019 with population 764432.958552399\n",
      "I am working on tract number 3020 of 5160 tracts\n",
      "loop no 9.0 for tract no 3020 with population 594269.216234235\n",
      "loop no 10.0 for tract no 3020 with population 636105.1473465401\n",
      "loop no 11.0 for tract no 3020 with population 951095.6179779446\n",
      "loop no 12.0 for tract no 3020 with population 916459.7398221649\n",
      "loop no 13.0 for tract no 3020 with population 604779.6064105582\n",
      "loop no 14.0 for tract no 3020 with population 622808.1333963736\n",
      "loop no 15.0 for tract no 3020 with population 690602.6687044629\n",
      "loop no 16.0 for tract no 3020 with population 726190.5406323723\n",
      "loop no 17.0 for tract no 3020 with population 743466.3727152902\n",
      "loop no 18.0 for tract no 3020 with population 754626.572251397\n",
      "loop no 19.0 for tract no 3020 with population 761342.2737299625\n",
      "loop no 20.0 for tract no 3020 with population 764952.5048154482\n",
      "loop no 9.0 for tract no 3021 with population 577627.0774979012\n",
      "loop no 10.0 for tract no 3021 with population 637615.5996961842\n",
      "loop no 11.0 for tract no 3021 with population 926536.6379509801\n",
      "loop no 12.0 for tract no 3021 with population 911268.5851483736\n",
      "loop no 13.0 for tract no 3021 with population 630208.4227733756\n",
      "loop no 14.0 for tract no 3021 with population 696666.2151257304\n",
      "loop no 15.0 for tract no 3021 with population 727376.8537817904\n",
      "loop no 16.0 for tract no 3021 with population 743619.6323747316\n",
      "loop no 17.0 for tract no 3021 with population 753720.0660119917\n",
      "loop no 18.0 for tract no 3021 with population 759894.2843453421\n",
      "loop no 19.0 for tract no 3021 with population 763676.0248489978\n",
      "loop no 9.0 for tract no 3026 with population 576364.4858411413\n",
      "loop no 10.0 for tract no 3026 with population 700249.643391749\n",
      "loop no 11.0 for tract no 3026 with population 850960.7958797363\n",
      "loop no 12.0 for tract no 3026 with population 794378.736842934\n",
      "loop no 13.0 for tract no 3026 with population 778926.5543143074\n",
      "loop no 14.0 for tract no 3026 with population 774185.9496072317\n",
      "I am working on tract number 3040 of 5160 tracts\n",
      "loop no 9.0 for tract no 3040 with population 765436.2222701189\n",
      "I am working on tract number 3060 of 5160 tracts\n",
      "I am working on tract number 3080 of 5160 tracts\n",
      "loop no 9.0 for tract no 3094 with population 833534.110812141\n",
      "loop no 10.0 for tract no 3094 with population 833404.5929857669\n",
      "loop no 11.0 for tract no 3094 with population 833173.8852169823\n",
      "loop no 12.0 for tract no 3094 with population 614720.726488279\n",
      "loop no 13.0 for tract no 3094 with population 747252.1406992931\n",
      "loop no 14.0 for tract no 3094 with population 760462.3818986067\n",
      "loop no 15.0 for tract no 3094 with population 764243.9442071941\n",
      "loop no 9.0 for tract no 3098 with population 753691.282394311\n",
      "loop no 10.0 for tract no 3098 with population 773024.8650572852\n",
      "I am working on tract number 3100 of 5160 tracts\n",
      "loop no 9.0 for tract no 3105 with population 764059.690533132\n",
      "loop no 9.0 for tract no 3106 with population 807212.9285542585\n",
      "loop no 10.0 for tract no 3106 with population 742352.8806434151\n",
      "loop no 11.0 for tract no 3106 with population 761509.5666952578\n",
      "loop no 12.0 for tract no 3106 with population 765914.7954977861\n",
      "loop no 9.0 for tract no 3107 with population 767674.6671461151\n",
      "I am working on tract number 3120 of 5160 tracts\n",
      "loop no 9.0 for tract no 3126 with population 767714.2577926766\n",
      "I am working on tract number 3140 of 5160 tracts\n",
      "loop no 9.0 for tract no 3147 with population 765577.6899800778\n",
      "loop no 9.0 for tract no 3149 with population 822517.8988759773\n",
      "loop no 10.0 for tract no 3149 with population 766172.721488532\n",
      "loop no 9.0 for tract no 3156 with population 1723702.7926003847\n",
      "loop no 10.0 for tract no 3156 with population 941924.8530681923\n",
      "loop no 11.0 for tract no 3156 with population 812112.8828909997\n",
      "loop no 12.0 for tract no 3156 with population 786828.400294134\n",
      "loop no 13.0 for tract no 3156 with population 777876.022567614\n",
      "loop no 14.0 for tract no 3156 with population 773472.9363388503\n",
      "loop no 9.0 for tract no 3157 with population 546649.4527377349\n",
      "loop no 10.0 for tract no 3157 with population 644953.5314441975\n",
      "loop no 11.0 for tract no 3157 with population 886012.6014999073\n",
      "loop no 12.0 for tract no 3157 with population 862733.1759173574\n",
      "loop no 13.0 for tract no 3157 with population 680877.3101419519\n",
      "loop no 14.0 for tract no 3157 with population 740571.6920474153\n",
      "loop no 15.0 for tract no 3157 with population 754266.3483103751\n",
      "loop no 16.0 for tract no 3157 with population 760514.0276985818\n",
      "loop no 17.0 for tract no 3157 with population 763952.9652313816\n",
      "loop no 9.0 for tract no 3158 with population 766970.7728387718\n",
      "I am working on tract number 3160 of 5160 tracts\n",
      "loop no 9.0 for tract no 3160 with population 760195.1713116275\n",
      "loop no 10.0 for tract no 3160 with population 768617.5728964547\n",
      "loop no 9.0 for tract no 3161 with population 776153.7586460403\n",
      "loop no 9.0 for tract no 3162 with population 770198.6312509754\n",
      "loop no 9.0 for tract no 3165 with population 791378.7703043775\n",
      "loop no 10.0 for tract no 3165 with population 771279.2580990825\n",
      "loop no 9.0 for tract no 3167 with population 789464.9031089913\n",
      "loop no 10.0 for tract no 3167 with population 772260.8192748657\n",
      "loop no 9.0 for tract no 3168 with population 765967.7895568869\n",
      "loop no 9.0 for tract no 3169 with population 745222.4703663382\n",
      "loop no 10.0 for tract no 3169 with population 817661.5507817374\n",
      "loop no 11.0 for tract no 3169 with population 766016.6573210523\n",
      "I am working on tract number 3180 of 5160 tracts\n",
      "loop no 9.0 for tract no 3186 with population 769720.4109550517\n",
      "loop no 9.0 for tract no 3193 with population 746340.7006884032\n",
      "loop no 10.0 for tract no 3193 with population 754343.0133387941\n",
      "loop no 11.0 for tract no 3193 with population 764976.4689934064\n",
      "loop no 9.0 for tract no 3196 with population 766957.0370699656\n",
      "loop no 9.0 for tract no 3199 with population 947434.9297054366\n",
      "loop no 10.0 for tract no 3199 with population 917139.8953648638\n",
      "loop no 11.0 for tract no 3199 with population 604131.0467623658\n",
      "loop no 12.0 for tract no 3199 with population 621266.5776390663\n",
      "loop no 13.0 for tract no 3199 with population 921242.1035766704\n",
      "loop no 14.0 for tract no 3199 with population 877417.1061596901\n",
      "loop no 15.0 for tract no 3199 with population 829337.9851508542\n",
      "loop no 16.0 for tract no 3199 with population 804778.3618446046\n",
      "loop no 17.0 for tract no 3199 with population 789912.6939495455\n",
      "loop no 18.0 for tract no 3199 with population 781678.1790166553\n",
      "loop no 19.0 for tract no 3199 with population 776733.2299088405\n",
      "I am working on tract number 3200 of 5160 tracts\n",
      "loop no 9.0 for tract no 3202 with population 767192.2033054027\n",
      "loop no 9.0 for tract no 3206 with population 762643.3173168777\n",
      "loop no 9.0 for tract no 3208 with population 767683.5539897032\n",
      "I am working on tract number 3220 of 5160 tracts\n",
      "loop no 9.0 for tract no 3231 with population 774266.0667086446\n",
      "loop no 9.0 for tract no 3232 with population 743832.3910479614\n",
      "loop no 10.0 for tract no 3232 with population 752559.0381913659\n",
      "loop no 11.0 for tract no 3232 with population 782359.7176816066\n",
      "loop no 12.0 for tract no 3232 with population 770750.293956246\n",
      "loop no 9.0 for tract no 3233 with population 715612.7814512933\n",
      "loop no 10.0 for tract no 3233 with population 723002.7596869315\n",
      "loop no 11.0 for tract no 3233 with population 891016.4215981243\n",
      "loop no 12.0 for tract no 3233 with population 773896.1227977073\n",
      "loop no 9.0 for tract no 3234 with population 769992.1377313413\n",
      "I am working on tract number 3240 of 5160 tracts\n",
      "loop no 9.0 for tract no 3248 with population 736956.0792511902\n",
      "loop no 10.0 for tract no 3248 with population 817422.1152392605\n",
      "loop no 11.0 for tract no 3248 with population 773354.4436814303\n",
      "I am working on tract number 3260 of 5160 tracts\n",
      "loop no 9.0 for tract no 3269 with population 748637.2918477636\n",
      "loop no 10.0 for tract no 3269 with population 754917.603336657\n",
      "loop no 11.0 for tract no 3269 with population 770562.9171915076\n",
      "I am working on tract number 3280 of 5160 tracts\n",
      "loop no 9.0 for tract no 3285 with population 1004608.3850397059\n",
      "loop no 10.0 for tract no 3285 with population 627706.6535217238\n",
      "loop no 11.0 for tract no 3285 with population 641924.0997334219\n",
      "loop no 12.0 for tract no 3285 with population 1036413.6138568594\n",
      "loop no 13.0 for tract no 3285 with population 995133.8290967771\n",
      "loop no 14.0 for tract no 3285 with population 958022.274438742\n",
      "loop no 15.0 for tract no 3285 with population 853533.2386887666\n",
      "loop no 16.0 for tract no 3285 with population 809251.6167588078\n",
      "loop no 17.0 for tract no 3285 with population 792694.8645029567\n",
      "loop no 18.0 for tract no 3285 with population 783208.2732492709\n",
      "loop no 19.0 for tract no 3285 with population 777607.0356216972\n",
      "loop no 20.0 for tract no 3285 with population 774224.6999871631\n",
      "loop no 9.0 for tract no 3287 with population 1011637.0378424025\n",
      "loop no 10.0 for tract no 3287 with population 642626.3082007044\n",
      "loop no 11.0 for tract no 3287 with population 760133.6654773259\n",
      "loop no 12.0 for tract no 3287 with population 770968.0795851558\n",
      "loop no 9.0 for tract no 3295 with population 763415.5037743625\n",
      "I am working on tract number 3300 of 5160 tracts\n",
      "I am working on tract number 3320 of 5160 tracts\n",
      "loop no 9.0 for tract no 3333 with population 740086.7482090823\n",
      "loop no 10.0 for tract no 3333 with population 769961.7891756026\n",
      "loop no 9.0 for tract no 3339 with population 767269.415703726\n",
      "I am working on tract number 3340 of 5160 tracts\n",
      "loop no 9.0 for tract no 3354 with population 692012.376521213\n",
      "loop no 10.0 for tract no 3354 with population 801208.900093227\n",
      "loop no 11.0 for tract no 3354 with population 777392.3477351075\n",
      "loop no 12.0 for tract no 3354 with population 772011.8130450376\n",
      "loop no 9.0 for tract no 3359 with population 984808.47379718\n",
      "loop no 10.0 for tract no 3359 with population 654761.9865242427\n",
      "loop no 11.0 for tract no 3359 with population 660153.2324489114\n",
      "loop no 12.0 for tract no 3359 with population 1056030.9522778047\n",
      "loop no 13.0 for tract no 3359 with population 1019961.1964013937\n",
      "loop no 14.0 for tract no 3359 with population 974930.4445363282\n",
      "loop no 15.0 for tract no 3359 with population 914110.4451410971\n",
      "loop no 16.0 for tract no 3359 with population 830257.1510828979\n",
      "loop no 17.0 for tract no 3359 with population 798535.428858725\n",
      "loop no 18.0 for tract no 3359 with population 779434.5015051304\n",
      "loop no 19.0 for tract no 3359 with population 775415.7913576812\n",
      "I am working on tract number 3360 of 5160 tracts\n",
      "loop no 9.0 for tract no 3370 with population 781336.327261359\n",
      "loop no 10.0 for tract no 3370 with population 771587.0253077687\n",
      "I am working on tract number 3380 of 5160 tracts\n",
      "loop no 9.0 for tract no 3386 with population 761353.4218900059\n",
      "loop no 10.0 for tract no 3386 with population 763709.7075303134\n",
      "loop no 9.0 for tract no 3395 with population 915078.1371484471\n",
      "loop no 10.0 for tract no 3395 with population 683695.3459150866\n",
      "loop no 11.0 for tract no 3395 with population 707915.1758551539\n",
      "loop no 12.0 for tract no 3395 with population 786234.782637547\n",
      "loop no 13.0 for tract no 3395 with population 775294.5088728634\n",
      "I am working on tract number 3400 of 5160 tracts\n",
      "loop no 9.0 for tract no 3403 with population 779992.5855996273\n",
      "loop no 10.0 for tract no 3403 with population 773321.7868564274\n",
      "loop no 9.0 for tract no 3404 with population 784923.697114108\n",
      "loop no 10.0 for tract no 3404 with population 774466.6582789654\n",
      "loop no 9.0 for tract no 3405 with population 709836.0913412684\n",
      "loop no 10.0 for tract no 3405 with population 979250.9548458639\n",
      "loop no 11.0 for tract no 3405 with population 760565.7434857396\n",
      "loop no 12.0 for tract no 3405 with population 763966.0554634458\n",
      "loop no 9.0 for tract no 3407 with population 772041.1486806216\n",
      "I am working on tract number 3420 of 5160 tracts\n",
      "I am working on tract number 3440 of 5160 tracts\n",
      "loop no 9.0 for tract no 3444 with population 780804.6809638418\n",
      "loop no 10.0 for tract no 3444 with population 757064.1553458786\n",
      "loop no 11.0 for tract no 3444 with population 762246.5381324076\n",
      "loop no 9.0 for tract no 3448 with population 760777.8895365444\n",
      "loop no 10.0 for tract no 3448 with population 770406.7868326704\n",
      "loop no 9.0 for tract no 3450 with population 765024.5689867681\n",
      "I am working on tract number 3460 of 5160 tracts\n",
      "loop no 9.0 for tract no 3463 with population 765685.0874302001\n",
      "loop no 9.0 for tract no 3464 with population 738943.5314333639\n",
      "loop no 10.0 for tract no 3464 with population 764279.6567624233\n",
      "I am working on tract number 3480 of 5160 tracts\n",
      "loop no 9.0 for tract no 3480 with population 764703.1241356932\n",
      "loop no 9.0 for tract no 3482 with population 764560.1898969763\n",
      "loop no 9.0 for tract no 3488 with population 764649.9714062505\n",
      "loop no 9.0 for tract no 3490 with population 769091.9298445408\n",
      "loop no 9.0 for tract no 3493 with population 788284.8501810832\n",
      "loop no 10.0 for tract no 3493 with population 770977.4679611147\n",
      "I am working on tract number 3500 of 5160 tracts\n",
      "loop no 9.0 for tract no 3513 with population 719320.4838496904\n",
      "loop no 10.0 for tract no 3513 with population 733632.4606112859\n",
      "loop no 11.0 for tract no 3513 with population 762408.752781786\n",
      "I am working on tract number 3520 of 5160 tracts\n",
      "loop no 9.0 for tract no 3538 with population 668405.3210901041\n",
      "loop no 10.0 for tract no 3538 with population 880029.2916524482\n",
      "loop no 11.0 for tract no 3538 with population 856897.6066660655\n",
      "loop no 12.0 for tract no 3538 with population 639062.4690570087\n",
      "loop no 13.0 for tract no 3538 with population 689094.3394397509\n",
      "loop no 14.0 for tract no 3538 with population 742346.8476712513\n",
      "loop no 15.0 for tract no 3538 with population 753787.3772946253\n",
      "loop no 16.0 for tract no 3538 with population 759940.9195363546\n",
      "loop no 17.0 for tract no 3538 with population 763571.8084676858\n",
      "I am working on tract number 3540 of 5160 tracts\n",
      "I am working on tract number 3560 of 5160 tracts\n",
      "loop no 9.0 for tract no 3563 with population 754456.2641899205\n",
      "loop no 10.0 for tract no 3563 with population 765049.0356573304\n",
      "loop no 9.0 for tract no 3573 with population 627032.8019938117\n",
      "loop no 10.0 for tract no 3573 with population 707305.4355333643\n",
      "loop no 11.0 for tract no 3573 with population 790433.3792001128\n",
      "loop no 12.0 for tract no 3573 with population 781901.3578763743\n",
      "loop no 13.0 for tract no 3573 with population 774223.9258296872\n",
      "loop no 9.0 for tract no 3578 with population 714718.0416967191\n",
      "loop no 10.0 for tract no 3578 with population 989804.083799715\n",
      "loop no 11.0 for tract no 3578 with population 777155.4967443902\n",
      "loop no 12.0 for tract no 3578 with population 773039.4295544233\n",
      "I am working on tract number 3580 of 5160 tracts\n",
      "I am working on tract number 3600 of 5160 tracts\n",
      "loop no 9.0 for tract no 3602 with population 767995.7586273873\n",
      "loop no 9.0 for tract no 3603 with population 767988.3636769049\n",
      "loop no 9.0 for tract no 3611 with population 774186.233566536\n",
      "loop no 9.0 for tract no 3616 with population 760863.5625509886\n",
      "loop no 10.0 for tract no 3616 with population 766633.8411023517\n",
      "loop no 9.0 for tract no 3618 with population 767774.4497014276\n",
      "I am working on tract number 3620 of 5160 tracts\n",
      "loop no 9.0 for tract no 3633 with population 750039.6392919738\n",
      "loop no 10.0 for tract no 3633 with population 753912.2262162596\n",
      "loop no 11.0 for tract no 3633 with population 756177.0616946064\n",
      "loop no 12.0 for tract no 3633 with population 758337.1772033217\n",
      "loop no 13.0 for tract no 3633 with population 760750.6294338178\n",
      "loop no 14.0 for tract no 3633 with population 762450.553622314\n",
      "I am working on tract number 3640 of 5160 tracts\n",
      "loop no 9.0 for tract no 3654 with population 751380.1555017974\n",
      "loop no 10.0 for tract no 3654 with population 763686.9910343717\n",
      "loop no 9.0 for tract no 3658 with population 764463.3869277455\n",
      "loop no 9.0 for tract no 3659 with population 771078.3912322655\n",
      "I am working on tract number 3660 of 5160 tracts\n",
      "loop no 9.0 for tract no 3668 with population 779443.908752209\n",
      "loop no 10.0 for tract no 3668 with population 772998.0935740343\n",
      "loop no 9.0 for tract no 3675 with population 758646.1559039317\n",
      "loop no 10.0 for tract no 3675 with population 767114.317615448\n",
      "loop no 9.0 for tract no 3676 with population 827282.9552902379\n",
      "loop no 10.0 for tract no 3676 with population 801898.6441043883\n",
      "loop no 11.0 for tract no 3676 with population 784859.4071383263\n",
      "loop no 12.0 for tract no 3676 with population 777334.3278557673\n",
      "loop no 13.0 for tract no 3676 with population 773726.9082023741\n",
      "loop no 9.0 for tract no 3678 with population 741087.6217088469\n",
      "loop no 10.0 for tract no 3678 with population 756464.9469094743\n",
      "loop no 11.0 for tract no 3678 with population 765378.2638605367\n",
      "I am working on tract number 3680 of 5160 tracts\n",
      "loop no 9.0 for tract no 3691 with population 754921.4227944232\n",
      "loop no 10.0 for tract no 3691 with population 760563.404008566\n",
      "loop no 11.0 for tract no 3691 with population 763879.5454363489\n",
      "loop no 9.0 for tract no 3693 with population 764204.9658595116\n",
      "loop no 9.0 for tract no 3695 with population 889552.8275089117\n",
      "loop no 10.0 for tract no 3695 with population 780992.728270152\n",
      "loop no 11.0 for tract no 3695 with population 773183.8293022541\n",
      "loop no 9.0 for tract no 3696 with population 726050.1989402758\n",
      "loop no 10.0 for tract no 3696 with population 777077.359423651\n",
      "loop no 11.0 for tract no 3696 with population 771726.6328267673\n",
      "I am working on tract number 3700 of 5160 tracts\n",
      "I am working on tract number 3720 of 5160 tracts\n",
      "I am working on tract number 3740 of 5160 tracts\n",
      "loop no 9.0 for tract no 3758 with population 756578.3420339567\n",
      "loop no 10.0 for tract no 3758 with population 765793.595303822\n",
      "I am working on tract number 3760 of 5160 tracts\n",
      "loop no 9.0 for tract no 3777 with population 721823.6421779945\n",
      "loop no 10.0 for tract no 3777 with population 744884.5896319984\n",
      "loop no 11.0 for tract no 3777 with population 783054.8767665632\n",
      "loop no 12.0 for tract no 3777 with population 770411.7829195242\n",
      "loop no 9.0 for tract no 3778 with population 780747.9127127107\n",
      "loop no 10.0 for tract no 3778 with population 774092.2897830495\n",
      "I am working on tract number 3780 of 5160 tracts\n",
      "loop no 9.0 for tract no 3790 with population 753513.560114312\n",
      "loop no 10.0 for tract no 3790 with population 759992.4469099556\n",
      "loop no 11.0 for tract no 3790 with population 767823.9909585534\n",
      "loop no 9.0 for tract no 3792 with population 695107.406230924\n",
      "loop no 10.0 for tract no 3792 with population 934379.7526916083\n",
      "loop no 11.0 for tract no 3792 with population 833517.9380083671\n",
      "loop no 12.0 for tract no 3792 with population 755524.9962256036\n",
      "loop no 13.0 for tract no 3792 with population 760809.7533629406\n",
      "loop no 14.0 for tract no 3792 with population 765107.5460450704\n",
      "I am working on tract number 3800 of 5160 tracts\n",
      "loop no 9.0 for tract no 3802 with population 798958.2692900596\n",
      "loop no 10.0 for tract no 3802 with population 781845.0866832247\n",
      "loop no 11.0 for tract no 3802 with population 774116.2436082273\n",
      "loop no 9.0 for tract no 3805 with population 768645.9359318659\n",
      "loop no 9.0 for tract no 3808 with population 664990.9072031014\n",
      "loop no 10.0 for tract no 3808 with population 687102.6781429806\n",
      "loop no 11.0 for tract no 3808 with population 914525.5238189625\n",
      "loop no 12.0 for tract no 3808 with population 722346.2881013327\n",
      "loop no 13.0 for tract no 3808 with population 734870.469059669\n",
      "loop no 14.0 for tract no 3808 with population 766095.9800908575\n",
      "loop no 9.0 for tract no 3818 with population 770444.1593187912\n",
      "I am working on tract number 3820 of 5160 tracts\n",
      "loop no 9.0 for tract no 3822 with population 763858.8966656537\n",
      "I am working on tract number 3840 of 5160 tracts\n",
      "loop no 9.0 for tract no 3846 with population 736954.2227342833\n",
      "loop no 10.0 for tract no 3846 with population 745456.0073865118\n",
      "loop no 11.0 for tract no 3846 with population 746315.8473519749\n",
      "loop no 12.0 for tract no 3846 with population 748960.2215740635\n",
      "loop no 13.0 for tract no 3846 with population 750875.0253018368\n",
      "loop no 14.0 for tract no 3846 with population 751323.5357552037\n",
      "loop no 15.0 for tract no 3846 with population 759249.0488600737\n",
      "loop no 16.0 for tract no 3846 with population 763189.1472156789\n",
      "loop no 9.0 for tract no 3849 with population 789230.019548845\n",
      "loop no 10.0 for tract no 3849 with population 778179.6018997983\n",
      "loop no 11.0 for tract no 3849 with population 771585.8515690452\n",
      "loop no 9.0 for tract no 3850 with population 767524.3963519584\n",
      "loop no 9.0 for tract no 3853 with population 580997.7792720273\n",
      "loop no 10.0 for tract no 3853 with population 822686.5646418852\n",
      "loop no 11.0 for tract no 3853 with population 802984.6430150438\n",
      "loop no 12.0 for tract no 3853 with population 752533.8023145596\n",
      "loop no 13.0 for tract no 3853 with population 763082.5768644344\n",
      "loop no 9.0 for tract no 3856 with population 750345.2569470146\n",
      "loop no 10.0 for tract no 3856 with population 756023.0682452896\n",
      "loop no 11.0 for tract no 3856 with population 760883.3717129087\n",
      "loop no 12.0 for tract no 3856 with population 764828.477237331\n",
      "I am working on tract number 3860 of 5160 tracts\n",
      "loop no 9.0 for tract no 3860 with population 762613.0453904546\n",
      "loop no 9.0 for tract no 3862 with population 783722.1798680897\n",
      "loop no 10.0 for tract no 3862 with population 771018.4287824809\n",
      "loop no 9.0 for tract no 3863 with population 685705.7649771301\n",
      "loop no 10.0 for tract no 3863 with population 916028.816145597\n",
      "loop no 11.0 for tract no 3863 with population 914698.1094091128\n",
      "loop no 12.0 for tract no 3863 with population 681441.6226196891\n",
      "loop no 13.0 for tract no 3863 with population 689268.2341271762\n",
      "loop no 14.0 for tract no 3863 with population 917537.1602915277\n",
      "loop no 15.0 for tract no 3863 with population 856666.1175232171\n",
      "loop no 16.0 for tract no 3863 with population 823665.9362473142\n",
      "loop no 17.0 for tract no 3863 with population 809628.5698705561\n",
      "loop no 18.0 for tract no 3863 with population 801219.7717584252\n",
      "loop no 19.0 for tract no 3863 with population 788651.3793810684\n",
      "loop no 20.0 for tract no 3863 with population 776965.7879063932\n",
      "loop no 21.0 for tract no 3863 with population 771995.038617424\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 0.22822 0.27158 340692.7008 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.1231 0.1226 143943.2991 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.10227 0.10178 144034.0157 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.09186 1.07884 143325.0231 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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pzuLDTHxzN+oIu9L+7rJM/U8DChW0X1yNb0u30KvqYeCw8/55EYkAqgKDgTdUNca571gG2lqhN1lGVZk8/QCTk6Vde3epyOvP1rW0qzFk8By9iNQCWgDrgQZAGxFZLyI/iEjLDLRNbf8QEQkVkdDjx49npFvGhznSrruvKPJPDq7OGxOsyBvz/1yedSMixYAlwBhVPSci+YDSQCugJbBIROqo/v8vzmm3Te34qjodmA7g7+9/1TGMSSnmcgIjX9jJV2tPJm577dk69H/U0q7GJOdSoReR/DgK9TxVXercfBBY6izsG0QkASgHHHehrTGZcv5CHAOf3s6voWcBR9r1/Vcb0MHSrsZcxZVZNwIEARGqOjnZrhCgrfM5DYACwAkX2xpz3Y6fvEzXodsSi3yxonn5/H0/K/LGpMGVc/StgT5AWxHZ4ry1B2YCdURkG7AA6KeqKiJVRGRVOm2NuS57D0YRMGgr23Y4ljQoVyY/iz9pwh0tS7m3Y8Z4MFdm3fwMpPWtVu9Unn8IaO9CW2MyZNv2C/QeHc7xk0lp13nT/Khd3YJQxlyLTTA2ucKvoWd5ZOi2xCLv50y7WpE3Jn1W6I3H+2rtCXqNDEtKu95UgiWWdjXGZVbojUf7fMkRhia7tmv7u8syd2pjSti1XY1xmb1bjEdSVd6dcYBJnyQFoXp1rsh/x1sQypiMskJvPE58vPLCpN189sWRxG1jHqvG00Nr2LVdjbkOVuiNR4m5nMCoF3ey8rtkaddn6tC/m6VdjbleVuiNxzh/IY5B47bzy0ZHECp/PkfateN9FoQyJjOs0BuPcPzkZfqMDmfrdkcQqmiRPARNakSbW0q5t2PGeAEr9Mbt9h2MJnBEGHsPOq7tWrZ0fua+70ezRnZtV2OyghV641bbdlygz6hwjjmDUNWrFCR4WmPq1LAglDFZxebRG7f5NfQsXYdsSyzyjeoXYfnMZlbkjcliVuiNW6z630l6jwrjvDPt2uqmEiz9tCkVLe1qTJazQm9y3NylRxjy7HZiLjvSrg/8qwzzLO1qTLaxd5bJMarKu0EHmfTx/sRtvTo7ru2aL58FoYzJLlboTY6Ij1denLSb2cnSrqMHVWPcMEu7GpPdrNCbbBdzOYHR/97Jl2uS0q6vPl2bgT2quLFXxvgOK/QmW1246Ei7/rwhKe363iv16dSuvJt7ZozvsEJvss2JU5fpPerKtOuMtxtx562l3NsxY3yMFXqTLfZHRtNzRBh7DySlXT9/rxE3+hV3c8+M8T1W6E2WC9t5kd4jw65Iu86b2pi6NS0IZYw7WKE3Wer3zWfpPzYiMQjVqF4R5k71o1L5gm7umTG+ywJTJst88/1JAkckpV1vbVGCJZ82tSJvjJulW+hFpLqIrBORCBEJE5HRyfaNFJEdzu1vpdH+AedzdonI+KzsvPEcwSFHeGxcyrSrHyWL2y+NxribK+/COOApVd0sIsWBTSKyBqgIdAKaqWqMiFRI2VBE8gIfAPcBB4GNIrJCVcOzbgjGnVSV92ce5K2PktKuPTtV4I0J9SztaoyHSLfQq+ph4LDz/nkRiQCqAoOBN1Q1xrnvWCrNbwF2qepuABFZgOOHgxV6L5CQoLw4aQ+zFh1O3DZqYDWeedzSrsZ4kgydoxeRWkALYD3QAGgjIutF5AcRaZlKk6rAgWSPDzq3pXbsISISKiKhx48fz0i3jBvEXE5g+HM7ryjyrz5dm2efqGlF3hgP43KhF5FiwBJgjKqew/HbQGmgFTAOWCRXv8NTe8drasdX1emq6q+q/uXLW2rSk124GEe/MeGsWHMCcKRdP3ytgS1pYIyHcumbMhHJj6PIz1PVpc7NB4GlqqrABhFJAMoByT+OHwSqJ3tcDTiU6V4btzlx6jJ9x0TwZ/gFAIoUzkPQ2424s1Up93bMGJMmV2bdCBAERKjq5GS7QoC2zuc0AAoAJ1I03wjUF5HaIlIA6AGsyIJ+GzfYHxlNwGNbE4t8mVL5+OLjJlbkjfFwrpy6aQ30AdqKyBbnrT0wE6gjItuABUA/VVURqSIiqwBUNQ4YAXwLRACLVDUsW0ZislX43xcJGPQXe/Y7ljSoVrkgIUHNaN7YljQwxtO5MuvmZ1I/1w7QO5XnHwLaJ3u8Clh1vR007vf75rMMeDKCcxcs7WpMbmTJWHNN3zrTrv9f5G9pbmlXY3IbK/QmTcEhR3jsmaS0a7s7yxA8zdKuxuQ29o41V1FVps46yJsfJqVde3SswJsTLe1qTG5khd5cISFBeWnyHoIWJAWhRgyoxvgnLO1qTG5lhd4kuhybwJh//83y1UmzZF9+qjaP9bQglDG5mRV6AzjSroOf2cGP688AkC+v8O7L9en8gKWUjcntrNAbTp6Opc/o8CvSrjPebshdrUq7uWfGmKxghd7HHTgUTeCIMHY7g1ClS+bj8/f8aNHEglDGeAsr9D4sYtdFeo0I4+gJx7Vdq1YqSPA0P+rVKuLmnhljspLNo/dRG7ac45HBWxOLfMO6RVg+s6kVeWO8kBV6H7T6h5P0HB7G2fOOtGvLG4uz5NOmVK5gaVdjvJEVeh+zYPlRBo3bTnRMAgD3tSnN/A8aU6qEncUzxlvZu9tHqCrTZkfyxgf7Erd171CBt56ztKsx3s4KvQ9ISFBemrKHoPnJ0q79qzJ+uF32zxhfYIXey12OTeDJl/9m2TdJadeXnqzN4EBLuxrjK6zQe7GLl+IZ/Mx2fvj9DOBIu055qR5dHqzg3o4ZY3KUFXovdfJ0LH1Hh7PFmXYtXCgPn77VkLtvt7SrMb7GCr0XOng4mp7Dr0y7znnPj5ss7WqMT7JC72W277pIr5HhHDl+GbC0qzHG5tF7lQ1bztFl8NbEIn9DnSKEBFna1RhfZ4XeS6z+8dQVaVf/ZsVZ8mkTqlS0tKsxvi7dQi8i1UVknYhEiEiYiIx2bn9JRCJFZIvz1j6N9mOd7baJyHwRKZTVg/B1C1ccZdDTEYlp13vblGbBh40pXTK/m3tmjPEErnyijwOeUtVGQCtguIj4OfdNUdXmztuqlA1FpCowCvBX1SZAXqBHFvXd56kqH8w+yJOv7CLBUePp1qECM95uSOFCed3bOWOMx0j3y1hVPQwcdt4/LyIRQNUMvkZhEYkFigCHrqej5koJCcor7+7l0+Ckv84n+lZl4khLuxpjrpShc/QiUgtoAax3bhohIn+JyEwRuWqCtqpGApOA/Th+WJxV1dVpHHuIiISKSOjx48cz0i2fczk2gdH//vuKIv/imFo8N6qWFXljzFVcLvQiUgxYAoxR1XPAR0BdoDmOIv5OKm1KA52A2kAVoKiI9E7t+Ko6XVX9VdW/fHm7TmlaLl6KZ8CTESz92vHDMF9e4f1X6jO0d0Z+yTLG+BKXCr2I5MdR5Oep6lIAVT2qqvGqmgB8CtySStN7gT2qelxVY4GlwO1Z03Xfc+pMLN0f38b3v50BHGnXWZMb8Uh7W9LAGJM2V2bdCBAERKjq5GTbKyd7WmdgWyrN9wOtRKSI8zj3ABGZ67JvOng4moBBW/kjzLGkQamS+Vj0cRPatrYlDYwx1+ZKMrY10AfYKiJbnNsmAj1FpDmgwF5gKICIVAFmqGp7VV0vIouBzThm7/wBTM/KAfiCHf9cInBkGEeOOYJQVSoWIHhaY+rXtiCUMSZ9oqru7sNV/P39NTQ01N3d8Agb/zxH/7ERnDkXB0CDOoWZN7WxBaGMyaTZi0J57i3H3JCpr3aky4NN3NyjzBGRTarqn9o+S8Z6sDU/naLHE2GJRf7mZsVZ+mlTK/LGZIG7b6+beH/kCyuo6v86D/efzdETF9zYq+xhhd5DLfzyyrTrPXeUZqGlXY3JMjWrlSYydCI/LhlK9SolAfhj2yFueuB9qvq/zuxFoXjiGY/rYaduPIyq8tGcSF6bmnRt10cfrsDbz9clfz77uWxMdlFVps/bwCvvrr1ie92aZZj7fg9qVC3lno656FqnbqzQe5CEBOXV9/YyfV5SEOrxPlV5bpSlXY3JSZFHzjHgyS8I23n0iu3jht3JqIGtyZPH896PVuhzgdi4BJ58eVdiEArghTG1GGZBKGPcRlVZuOIvnnr1qyu2lytThIUfBtKwnudkWKzQe7hLUfEMeXY76349A0DevDD5xfp0fchz/hMZ4+tOnr7IsAkh/Bq674rtQ3rdwsSRd5M/n3sXErRC78FOnYml75hw/tjm+Ka/UEHHtV0tCGWM5/pq7XaGPLv0im358+Vh6Yw+3NTEPb+FW6H3UJFHYggcEcauvVGAI+06510/bm5q13Y1Jjc4fyGGsS9/ydfrdl6xvXuHZrz27P0ULpRzs+Ss0HugnbsdadfDRx1p18oVCzDf0q7G5Fo//r6HniPmX7V9/rSe3Nmqdra/vhV6DxP61zn6jUlKu9av7Ui7Vq1kQShjcruo6FheeHs185f/ecX2B+9uwJR/d6B4sex5n1uh9yDf/XyKoc/uSAxC3dS0OJ9NaUSZUhaEMsbbbNoaSdchc7kcG3/F9ulvduGhexpesW3eslUULlSQLg/ec12vZYXeQ3yx8hhPvfo38c5/87a3l+aTN2+gSGG77J8x3iw2Lp7/TvueT+auv2J7ZOhEALoOeZrfNv9F/do1+P6LGdf1GrbWjQf4aM5BxryUVOQfaV+emZMbWpE3xgfkz5eXF8fcQ2ToRNYueAyAnp1uRFVpck9Xftv8FwALP3ozW17flWWKTSYkJCj/eX8vn8xNSrsO61OF50bW8sh0nTEmezWsV4HI0InEx8dTreX9idt3/ricokUKZ8trWqHPRrFxCTz1yi6WrEqWdh1di2F9LO1qjC+7FBVF/TadEh/v+/1r8mVj4MoKfTa5FBXP0PE7+N8vpwFH2vWdF+rz6MOWdjXGl504dZob23UHoEjhQuz8cXm2r2Vl5+izwakzsXR/IiyxyBcqmIeZ7zSyIm+Mj9u190BikW/RpCF//7QiRxYstEKfxSKPxNBl8FY2bz0PQKkS+Vj4UWPuvaOMm3tmjHGnjVvCuKvrIAC6dWjHytnv59hr26mbLJRa2jV4amMa1LG0qzG+7MvvfmTY+P8AMG5YP8Y81itHX98KfRYJ/esc/cZGcOasI+1ar1ZhgqdZ2tUYX/fx3MW8+u50AN5/5RkeaX9vjvfBCn0WWPvzKYYkS7u2aFKMOe/6WdrVeK3YuFiOHIvkwKF9HDi8j8jDjj8PHNpH5JH9REVf4qG2XQjsPJDGDW50d3fdZsIb7zNn8UoAFn38Fq39m7ulH+kWehGpDswBKgEJwHRVfU9EXgIGA/8/d3Ciqq5KpX0pYAbQBFBgoKr+liW99wCLvzrGk69Y2tV4v1NnTtL03sqp7hMRKpavQrVKNbi56a3ExsUyf/lMZn/xETf63UxgwCAC7u9OsaK+szJrt8ef4ZeNWwBYu+ATGtbL/oXN0uLKJ/o44ClV3SwixYFNIrLGuW+Kqk5Kp/17wDeq2lVECgBec8L647mRvPru3sTHXR4sz+R/17NruxqvFBt3+aptgQEDGRw4ilrV61Egf4Er9p0+e4qlXwcTvCyIZ19/gpenjKNTu270DBjITU1u8drLY6oqN7brxsnTZwHY9PV8KpUv69Y+ZXitGxFZDkwDWgMXrlXoRaQE8CdQRzPwQp6+1o2q8tr7+/jo88jEbUN6VeGF0ZZ2Nd7v8LFIFq74jAUrZnPg0F5KlyxL14d6ExgwgAZ1/K56vqryR9hGgpcFsXz1Ii5FXaRh3cYEdh5ElwcDKV3Se2akxcfHU+PWBxMf7/ghhGJFc+azbZYtaiYitYAfcZyGeRLoD5wDQnF86j+d4vnNgelAOHAjsAkYraoXr/U6nlzoY+MSGPeff/hi5bHEbc+Pqsnjfau5sVfG5LyEhAR+2rCW4JCZfPv9CmLjYvFvdhuBnQfR4d5HKFK46FVtzl84x/LVi5gfMpMt4aEULFCQ9m07ExgwiNtuvjNXf8qPio6m3h0dEx/v/X0V+fPl3NegWVLoRaQY8APwmqouFZGKwAkc591fBSqr6sAUbfyB34HWqrpeRN4DzqnqC6kcfwgwBKBGjRo379u3L+VT3C4q2pF2XftzUtr17efr0b1DRTf3zBj3OnHqGIu/mktwyEz+2beT4kVLEPBAD3p1HkTThi1SbRO280+Cl81k6dfBnLtwllrV6xHYaQDdOvSlfNnc9Z46efoMze7rBkDBAvn555eVOf5DK9OFXkTyAyuBb1V1cir7awErVbVJiu2VgN9VtZbzcRtgvKo+dK3X88RP9KfPxtJvbASb/nIEoQoVzMPHb9zAfW2859dOYzJLVdmw5RfmLQviq7VLiI6JpmnDFo4vYx/oToliJa9qExUdxVdrlxAcMpP1f/xMvrz5aHfnwwR2HsSdt95L3ryePbFh9/5I2nQZAMCNfg1YNWeaW/qRqUIvjh9LnwGnVHVMsu2VVfWw8/5Y4FZV7ZFK+5+Ax1R1h3OmTlFVHXet1/S0Qn/oaAy9Roaxc7fz2q4l8jF7SiNa3ljCzT0zxnOdOXeaZV/PZ15IEBF/b6VwoSJ0uK8rgQGD8G/WKtVPvLv2bmf+8tks+nIOp86coGqlGvTo2I/uHftTtVJ1N4zi2jb+GUbAoLEAPNL+Xt5/5Rm39SWzhf4O4CdgK47plQATgZ5AcxynbvYCQ1X1sIhUAWaoantn++Y4plcWAHYDA1Key0/Jkwr933suETgijEPOtGulCo606w11vWbykDHZSlX5M3wTwSFBhHy7kIuXLtCgTiN6dhpI14d6U6bU1TNSLsde5tsfVjA/ZBY/rv8OEeFft91PYMAA7m3zEPnzuT+jsvK7HxnqTLs+PbQvYwf3dmt/7ApT12nztvP0GR2emHatW7Mw8z+wtKsx1+vipQusWP0F80KC+GPbBgrkL8CDdwfQM2Agrf3/RZ48V09N3h+5hwUrZrNwxWccOX6ICmUr0a1DH3p0GkDt6vXcMAqYPm8JL0/5BIB3XxrHow/f55Z+JGeF/jr875fTDHl2O1HRzrRr42LMec/SrsZklYhdW5kfMoslq+Zx5txpalWrS49O/enWoS8Vy10dzIqLi2Pdb98SvCyItb98TXx8PLf7/4teAQN54O4AChUslCP9fu7Nacz+YgUACz58kza3pP5lc06zQp9BS1Yd48mXdxEX7/i7+ddtpfj0LbvsnzHZISo6iq/XLSM4ZBa/bfqBvHnzcu8d7QnsPIi7b7s/1S9jjxw/lDiXf3/kHkqVLMMj7XvRK2AgN9RtnG197Tl8PD+u3wzAdws+oZEb064pWaHPgE/mRvJKirTrOy/Wo0B+S7sak9127/+b+SEzWbTyc06cOkblitXo0bEfPTr2p1rlmlc9PyEhgZ83riM4JIhv1i0nNi6Wm5u1olfAIDrc1zXVufzXIzrmMnVbP5z4OHRVMJUrlMuSY2cVK/QuUFVen7qPD+ckpV0HB1bhxTGWdjUmp12Ovcx3P31FcMhMvv9tNQB3tbqPwICB3Hfnw1cttwBw6swJvlg5l+CQIHbt3UGxosUJuN8xl79Zo5sy1Z9jJ07R4gHHpMLt3y+jeLGs+QGSlazQpyMuThn32i4WfZmUdp04oiZP9Kuaq5N6xniDg4f3sXDFZ8xfMZvDRw9SrkwFHn2oNz0DBlK3ZoOrnq+qbPzzV4JDZvLlmsVEx0TR5Ibm9AwYSJcHe6Y6l98VkUeOUblCuVS/MPYEVuivISo6nmETdvDdT44Zn3nywKTn69G9Y+5K5hnj7eLj4/n+t9UEhwSx5qeviI+P57ab7qRnwADat+1C4UKFr2pz9vwZln2zgOBlQYTt/JNCBQs75/IPpOWNt3vVBzkr9Gk4fTaW/mMjCE2Wdv3ovzfQ7k5LuxrjyY6dOMKilXOYHzKLvQf/oWTxUjzSvhc9AwbgV79Zqm3+itjMvGVBhHy7gAsXz1O/dkN6dhrIow/3pkwpzzrffj2s0Kfi0NEYeo8MZ8fuSwCULJ6Xz6b40bK5pV2NyS0SEhL4ddMPBC8L4ut1IVyOvUyLxi0J7DyITu26UbRIsavaXIq6yJdrFjMvJIhNf/1O/nz5eeDuTgQGDOKOlnd77KmZ9FihT2HX3kv0HJ4s7Vq+APOm+tGwnud9wWKMcc2pMydZsmoewSFB7NwdQdEixejUrhuBAYNo3tg/1dM023dtY/7y2SxeNZczZ09Rs2qdxLn8lcpXccMorp8V+mQ2bztP39HhnE6Wdg2e5ke1yjkTtjDGZC9VZdPW9QQvC2LFmi+Iir5Eo/pNCew0kC7tAylVovRVbaJjovlmXQjBy2fxy8Z15M2bl3taP5g4lz9fDi43fL2s0Dut+/U0g59JSrs29yvG5+9b2tUYb3X+wjlCvl1IcEgQf0VsplDBQrRv24VenQdxa4s7Uv2Uv+fALhYsn8XCL+dw/ORRKlWoSvcOfenZaQDVq9TK+UG4yAo9sPTrY4x9KSntelcrR9q1aBFLuxrjC7Zt/4N5ITNZ9vV8zl88R50a9QkMGMijD/ehXJkKVz0/Ni6WtT+vYt6ymXz/27eoKnfeei89AwZw/10dU53L704+X+g/DT7ES5P3JD4OuL8cU16qb2lXY3xQVPQlvvxuMcHLZrLxz18d69/f1YFezvXvU/syNvLIARZ9+Rnzl88m8sh+ypYuz/B+4xjae0zODyANPlvoVZX/TtvHB58lpV0H9azMS2NrW9rVGMPfeyIIDpnFFys/5/TZk1SrXJMenfrTvUM/qlS8+vKg8fHx/Lj+Oz74bBK/bfqBDSv/8Zh18n2y0MfFKc+8touFydKuE0bUZLilXY0xKcRcjuGb75czP2QWP21YS548ebj79gfoFTCQe+5of9WXsXsO7OKOzn68MOZNhvUe66ZeX8nnCn1UdDyPT9jBmmRp17efq0ePTpZ2NcZc276Du5m/fBaLvpzD0ROHqViuMo926EPPTgOoVa1u4vPa970NgFVzfnNXV69wrULvdSepz5yLo+fwsMQiX6hgHoLebmhF3hjjkprV6jB++KtsWPkPs95ZQtNGLfjws0m0DmhE9yceYPm3C4m5HEPHdt34M3wTu/f/7e4up8urCv3hYzHc/ehmNv7pWNKgZPG8BE/zo91dV1+qzBhjriVfPseXtJ9NCWH9l7sYN+wl9h74hyee68PND9ZiS9hGAFas/sLNPU2fV526aXH/Bo6djAUcade5U/1oZGlXY0wWSUhI4KcNa5m3LIjVP3xJbFwsfg2asSbY/Zc+vdapG8+Pe2XAK+PqELbjIs0bF+OW5iUsCGWMyVJ58uThrlb3cVer+zhx6hiLv5qLJ35YTsmrPtEbY4yv8qkvY40xxlwp3UIvItVFZJ2IRIhImIiMdm5/SUQiRWSL89b+GsfIKyJ/iMjKrOy8McaY9Llyjj4OeEpVN4tIcWCTiKxx7puiqpNcOMZoIAKwxd6NMSaHpfuJXlUPq+pm5/3zOAp2VVdfQESqAQ8BM663k8YYY65fhs7Ri0gtoAWw3rlphIj8JSIzReTqRZ4d3gWeARLSOfYQEQkVkdDjx49npFvGGGOuweVCLyLFgCXAGFU9B3wE1AWaA4eBd1Jp8zBwTFU3pXd8VZ2uqv6q6l++fHlXu2WMMSYdLhV6EcmPo8jPU9WlAKp6VFXjVTUB+BS4JZWmrYGOIrIXWAC0FZG5WdJzY4wxLnFl1o0AQUCEqk5Otr1ysqd1BralbKuqE1S1mqrWAnoA/1PV3pnutTHGGJe5MuumNdAH2CoiW5zbJgI9RaQ5oMBeYCiAiFQBZqhqmtMt07Np06YTIrLvetvngHLACXd3Igt4yzjAxuKpbCw5p2ZaOzwyGevpRCQ0rQRabuIt4wAbi6eysXgGS8YaY4yXs0JvjDFezgr99Znu7g5kEW8ZB9hYPJWNxQPYOXpjjPFy9oneGGO8nBV6Y4zxclboUyEizUXkd+fyy6Eicotze1nnks0XRGSaC8d5WkRURMplf6/T7EOmxiIib4vIdueaRstEpFSOdf7qvmR2LGVEZI2I/O38M631mbJdWmNx7psgIrtEZIeI3J/R9jkts2NxPm+k8zlhIvJWzvT8qj5kehzO57r9fX8VVbVbihuwGnjQeb898L3zflHgDmAYMC2dY1QHvgX2AeVy61iAdkA+5/03gTdz8VjeAsY774/30LH4AX8CBYHawD9AXlfb59Kx3A18BxR0Pq6QG8fhfK5HvO9T3uwTfeqUpLXzSwKHAFT1oqr+DES7cIwpOFbtdPe33Zkai6quVtU458PfgWrZ1VEXZPbfpRPwmfP+Z0BANvTRVamOBUcfF6hqjKruAXaR+jpSabV3h8yO5XHgDVWNAVDVY9nc37RkdhzgOe/7K3jVxcGz0BjgWxGZhOP01u0ZaSwiHYFIVf3TsVSQW40hE2NJYSCwMCs6dZ3GkLmxVFTVw+C4zoKIVMji/mXEGFIfS1UcP1D/30FSv/5DWu3dIa2+uDqWBkAbEXkNxw/rp1V1Y/Z1N01jyMQ4POx9fwWfLfQi8h1QKZVdzwH3AGNVdYmIdMOxqNu9Lh63iPMY7bKqry68ZraMJcVrPIfjamPzMtNXF14n28eSU65zLKlViNQ+HT6eRvtskc1jyQeUBloBLYFFIlJHnedCslJ2jcMd7/sMcfe5I0+8AWdJyhgIcC7F/v6kcS4YaAocw7HQ214cxXE/UCm3jSXZc/oBvwFFcuu/i3P/DqCy835lYIenjQWYAExI9rxvgdsy+neRy8byDfCvZI//AcrnpnF42vs+5c3O0afuEHCX835b4G9XG6rqVlWtoKq11LE880HgJlU9kvXddMl1jwVARB4AngU6quqlLO5bRmVqLMAKHD+0cP65PIv6dT3SGssKoIeIFBSR2kB9YEMG2rtDZscS4myHiDQACuCeVSKvexwe+L6/krt/0njiDccMjk04vmlfD9ycbN9e4BRwAcc/pp9z+wzAP5Vj7cW9s24yNRYcXzwdALY4bx/n4rGUBdbieAOvBcp46Fiew/GpdgfOWSCpjCXN9rlwLAWAuTiuabEZaJsbx5HiWG5936e82RIIxhjj5ezUjTHGeDkr9MYY4+Ws0BtjjJezQm+MMV7OCr0xxng5K/TGGOPlrNAbY4yX+z/IP+VrwJf2sQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 9.0 for tract no 3866 with population 769536.4761528\n",
      "loop no 9.0 for tract no 3868 with population 787185.5424857342\n",
      "loop no 10.0 for tract no 3868 with population 769143.3045676481\n",
      "loop no 9.0 for tract no 3873 with population 764423.9098689489\n",
      "loop no 9.0 for tract no 3874 with population 770398.1944051696\n",
      "loop no 9.0 for tract no 3875 with population 727098.589856616\n",
      "loop no 10.0 for tract no 3875 with population 913320.9558027107\n",
      "loop no 11.0 for tract no 3875 with population 752115.9538626235\n",
      "loop no 12.0 for tract no 3875 with population 757173.4777416234\n",
      "loop no 13.0 for tract no 3875 with population 764643.7389616261\n",
      "loop no 9.0 for tract no 3878 with population 762416.4678573934\n",
      "I am working on tract number 3880 of 5160 tracts\n",
      "I am working on tract number 3900 of 5160 tracts\n",
      "loop no 9.0 for tract no 3904 with population 780103.497368257\n",
      "loop no 10.0 for tract no 3904 with population 770405.9791249888\n",
      "loop no 9.0 for tract no 3906 with population 757314.330680002\n",
      "loop no 10.0 for tract no 3906 with population 765538.4495420218\n",
      "loop no 9.0 for tract no 3907 with population 755817.4138828904\n",
      "loop no 10.0 for tract no 3907 with population 765395.3930280132\n",
      "loop no 9.0 for tract no 3908 with population 771746.6294571802\n",
      "loop no 9.0 for tract no 3913 with population 750159.5013259499\n",
      "loop no 10.0 for tract no 3913 with population 769511.3499070356\n",
      "loop no 9.0 for tract no 3914 with population 759713.1037582293\n",
      "loop no 10.0 for tract no 3914 with population 762610.8598318306\n",
      "loop no 9.0 for tract no 3918 with population 823758.7837693695\n",
      "loop no 10.0 for tract no 3918 with population 802118.452777663\n",
      "loop no 11.0 for tract no 3918 with population 741196.508027558\n",
      "loop no 12.0 for tract no 3918 with population 749834.470665324\n",
      "loop no 13.0 for tract no 3918 with population 750891.9348138374\n",
      "loop no 14.0 for tract no 3918 with population 813304.0736531769\n",
      "loop no 15.0 for tract no 3918 with population 794566.5296528805\n",
      "loop no 16.0 for tract no 3918 with population 784437.8667586728\n",
      "loop no 17.0 for tract no 3918 with population 778086.2997890066\n",
      "loop no 18.0 for tract no 3918 with population 774534.7908505928\n",
      "I am working on tract number 3920 of 5160 tracts\n",
      "loop no 9.0 for tract no 3920 with population 948517.9869895858\n",
      "loop no 10.0 for tract no 3920 with population 914763.0949988781\n",
      "loop no 11.0 for tract no 3920 with population 607194.1136284269\n",
      "loop no 12.0 for tract no 3920 with population 624397.2746640414\n",
      "loop no 13.0 for tract no 3920 with population 921326.0596670638\n",
      "loop no 14.0 for tract no 3920 with population 867304.1781350981\n",
      "loop no 15.0 for tract no 3920 with population 819871.1183276927\n",
      "loop no 16.0 for tract no 3920 with population 796341.2398910569\n",
      "loop no 17.0 for tract no 3920 with population 784368.449406957\n",
      "loop no 18.0 for tract no 3920 with population 778065.0979830194\n",
      "loop no 19.0 for tract no 3920 with population 774463.9538347666\n",
      "loop no 9.0 for tract no 3922 with population 741544.1283213532\n",
      "loop no 10.0 for tract no 3922 with population 747517.1473411579\n",
      "loop no 11.0 for tract no 3922 with population 753061.3490907552\n",
      "loop no 12.0 for tract no 3922 with population 758957.9227557542\n",
      "loop no 13.0 for tract no 3922 with population 763030.7748968033\n",
      "loop no 9.0 for tract no 3926 with population 779401.5435158849\n",
      "loop no 10.0 for tract no 3926 with population 772852.6612352482\n",
      "loop no 9.0 for tract no 3929 with population 766681.1050972869\n",
      "loop no 9.0 for tract no 3930 with population 718251.9147555508\n",
      "loop no 10.0 for tract no 3930 with population 720283.2388197327\n",
      "loop no 11.0 for tract no 3930 with population 1830609.3382395287\n",
      "loop no 12.0 for tract no 3930 with population 1250111.4491808973\n",
      "loop no 13.0 for tract no 3930 with population 744557.992403367\n",
      "loop no 14.0 for tract no 3930 with population 749470.2966724085\n",
      "loop no 15.0 for tract no 3930 with population 758318.0382167181\n",
      "loop no 16.0 for tract no 3930 with population 762552.1542871654\n",
      "loop no 9.0 for tract no 3935 with population 777395.7500944666\n",
      "loop no 10.0 for tract no 3935 with population 771737.7055197657\n",
      "loop no 9.0 for tract no 3936 with population 754248.2392165766\n",
      "loop no 10.0 for tract no 3936 with population 766218.352403472\n",
      "I am working on tract number 3940 of 5160 tracts\n",
      "I am working on tract number 3960 of 5160 tracts\n",
      "loop no 9.0 for tract no 3961 with population 771892.3798006587\n",
      "loop no 9.0 for tract no 3967 with population 807138.5952200666\n",
      "loop no 10.0 for tract no 3967 with population 645271.9115561817\n",
      "loop no 11.0 for tract no 3967 with population 834520.7243730419\n",
      "loop no 12.0 for tract no 3967 with population 833196.2908988469\n",
      "loop no 13.0 for tract no 3967 with population 670846.2422590738\n",
      "loop no 14.0 for tract no 3967 with population 833887.0404715926\n",
      "loop no 15.0 for tract no 3967 with population 802446.120604767\n",
      "loop no 16.0 for tract no 3967 with population 787722.236203636\n",
      "loop no 17.0 for tract no 3967 with population 779820.671779\n",
      "loop no 18.0 for tract no 3967 with population 775431.0435371683\n",
      "loop no 9.0 for tract no 3976 with population 762043.3166571576\n",
      "I am working on tract number 3980 of 5160 tracts\n",
      "loop no 9.0 for tract no 3981 with population 749035.2671084668\n",
      "loop no 10.0 for tract no 3981 with population 759940.5726057661\n",
      "loop no 11.0 for tract no 3981 with population 766699.9299756951\n",
      "loop no 9.0 for tract no 3992 with population 882836.955493946\n",
      "loop no 10.0 for tract no 3992 with population 636571.7685019439\n",
      "loop no 11.0 for tract no 3992 with population 656554.4039781383\n",
      "loop no 12.0 for tract no 3992 with population 883144.4590313073\n",
      "loop no 13.0 for tract no 3992 with population 882925.7967874266\n",
      "loop no 14.0 for tract no 3992 with population 770701.3541133659\n",
      "loop no 9.0 for tract no 3993 with population 766302.8771499909\n",
      "I am working on tract number 4000 of 5160 tracts\n",
      "loop no 9.0 for tract no 4011 with population 762783.920979923\n",
      "loop no 9.0 for tract no 4014 with population 583168.7066200918\n",
      "loop no 10.0 for tract no 4014 with population 616541.3334724983\n",
      "loop no 11.0 for tract no 4014 with population 838784.1203570018\n",
      "loop no 12.0 for tract no 4014 with population 838784.3805115139\n",
      "loop no 13.0 for tract no 4014 with population 838768.6073781685\n",
      "loop no 14.0 for tract no 4014 with population 662251.4844080071\n",
      "loop no 15.0 for tract no 4014 with population 704952.2108411799\n",
      "loop no 16.0 for tract no 4014 with population 727979.0213705237\n",
      "loop no 17.0 for tract no 4014 with population 743356.6951769864\n",
      "loop no 18.0 for tract no 4014 with population 753556.8397428278\n",
      "loop no 19.0 for tract no 4014 with population 759724.890853793\n",
      "loop no 20.0 for tract no 4014 with population 763420.3240734489\n",
      "I am working on tract number 4020 of 5160 tracts\n",
      "loop no 9.0 for tract no 4023 with population 843318.7122736261\n",
      "loop no 10.0 for tract no 4023 with population 660286.5730694656\n",
      "loop no 11.0 for tract no 4023 with population 693062.6545976461\n",
      "loop no 12.0 for tract no 4023 with population 812882.0559186577\n",
      "loop no 13.0 for tract no 4023 with population 791587.9289985492\n",
      "loop no 14.0 for tract no 4023 with population 780230.5043849123\n",
      "loop no 15.0 for tract no 4023 with population 775277.7758566445\n",
      "loop no 9.0 for tract no 4024 with population 636373.317194717\n",
      "loop no 10.0 for tract no 4024 with population 723367.8316446142\n",
      "loop no 11.0 for tract no 4024 with population 762246.1234335565\n",
      "loop no 9.0 for tract no 4029 with population 773328.170572596\n",
      "loop no 9.0 for tract no 4030 with population 735395.593197694\n",
      "loop no 10.0 for tract no 4030 with population 763632.7145373399\n",
      "loop no 9.0 for tract no 4032 with population 771242.2229825258\n",
      "I am working on tract number 4040 of 5160 tracts\n",
      "loop no 9.0 for tract no 4041 with population 774388.9478046959\n",
      "I am working on tract number 4060 of 5160 tracts\n",
      "loop no 9.0 for tract no 4067 with population 768192.8892302667\n",
      "loop no 9.0 for tract no 4070 with population 670589.77032353\n",
      "loop no 10.0 for tract no 4070 with population 903162.6882298974\n",
      "loop no 11.0 for tract no 4070 with population 903456.7429980662\n",
      "loop no 12.0 for tract no 4070 with population 668443.1313253186\n",
      "loop no 13.0 for tract no 4070 with population 678522.9186324428\n",
      "loop no 14.0 for tract no 4070 with population 903670.04780773\n",
      "loop no 15.0 for tract no 4070 with population 842971.2862127695\n",
      "loop no 16.0 for tract no 4070 with population 812020.7761031757\n",
      "loop no 17.0 for tract no 4070 with population 794512.4903761472\n",
      "loop no 18.0 for tract no 4070 with population 784569.485518404\n",
      "loop no 19.0 for tract no 4070 with population 778539.6827016373\n",
      "loop no 20.0 for tract no 4070 with population 774863.0999456013\n",
      "loop no 9.0 for tract no 4074 with population 788136.1343185941\n",
      "loop no 10.0 for tract no 4074 with population 770713.1793840677\n",
      "loop no 9.0 for tract no 4076 with population 804170.324779278\n",
      "loop no 10.0 for tract no 4076 with population 751930.9362649577\n",
      "loop no 11.0 for tract no 4076 with population 753370.5919902334\n",
      "loop no 12.0 for tract no 4076 with population 754170.8668075792\n",
      "loop no 13.0 for tract no 4076 with population 762010.4687624433\n",
      "loop no 9.0 for tract no 4078 with population 740076.1709817017\n",
      "loop no 10.0 for tract no 4078 with population 805835.889077431\n",
      "loop no 11.0 for tract no 4078 with population 770628.8867151716\n",
      "I am working on tract number 4080 of 5160 tracts\n",
      "I am working on tract number 4100 of 5160 tracts\n",
      "loop no 9.0 for tract no 4108 with population 735396.7455090907\n",
      "loop no 10.0 for tract no 4108 with population 781495.1918214001\n",
      "loop no 11.0 for tract no 4108 with population 772215.0956636982\n",
      "loop no 9.0 for tract no 4115 with population 765311.8253150453\n",
      "I am working on tract number 4120 of 5160 tracts\n",
      "loop no 9.0 for tract no 4120 with population 763940.1251828191\n",
      "loop no 9.0 for tract no 4121 with population 797148.165079064\n",
      "loop no 10.0 for tract no 4121 with population 769381.6405827181\n",
      "loop no 9.0 for tract no 4123 with population 766575.7436889369\n",
      "loop no 9.0 for tract no 4130 with population 573288.4141857674\n",
      "loop no 10.0 for tract no 4130 with population 632998.2009715105\n",
      "loop no 11.0 for tract no 4130 with population 807377.91569261\n",
      "loop no 12.0 for tract no 4130 with population 807364.2967064828\n",
      "loop no 13.0 for tract no 4130 with population 734749.272399479\n",
      "loop no 14.0 for tract no 4130 with population 778801.2049229292\n",
      "loop no 15.0 for tract no 4130 with population 774778.742229705\n",
      "loop no 9.0 for tract no 4131 with population 751886.5582207332\n",
      "loop no 10.0 for tract no 4131 with population 764573.1520761484\n",
      "loop no 9.0 for tract no 4134 with population 763700.3671400675\n",
      "loop no 9.0 for tract no 4136 with population 763448.4056563941\n",
      "I am working on tract number 4140 of 5160 tracts\n",
      "loop no 9.0 for tract no 4146 with population 758218.738470399\n",
      "loop no 10.0 for tract no 4146 with population 768400.3703773144\n",
      "I am working on tract number 4160 of 5160 tracts\n",
      "loop no 9.0 for tract no 4167 with population 762339.617841248\n",
      "loop no 9.0 for tract no 4178 with population 777668.9308058757\n",
      "loop no 10.0 for tract no 4178 with population 771138.2748503227\n",
      "I am working on tract number 4180 of 5160 tracts\n",
      "loop no 9.0 for tract no 4194 with population 758658.4609257642\n",
      "loop no 10.0 for tract no 4194 with population 765036.8455791473\n",
      "I am working on tract number 4200 of 5160 tracts\n",
      "loop no 9.0 for tract no 4213 with population 771619.4748445551\n",
      "I am working on tract number 4220 of 5160 tracts\n",
      "I am working on tract number 4240 of 5160 tracts\n",
      "loop no 9.0 for tract no 4259 with population 774053.5926106487\n",
      "I am working on tract number 4260 of 5160 tracts\n",
      "loop no 9.0 for tract no 4267 with population 878229.9554403884\n",
      "loop no 10.0 for tract no 4267 with population 614879.2595365886\n",
      "loop no 11.0 for tract no 4267 with population 650246.2364430146\n",
      "loop no 12.0 for tract no 4267 with population 888666.0051180592\n",
      "loop no 13.0 for tract no 4267 with population 853081.8644689352\n",
      "loop no 14.0 for tract no 4267 with population 738825.1505409643\n",
      "loop no 15.0 for tract no 4267 with population 751048.0146677252\n",
      "loop no 16.0 for tract no 4267 with population 757717.6821383967\n",
      "loop no 17.0 for tract no 4267 with population 762497.3247796359\n",
      "loop no 9.0 for tract no 4269 with population 656822.1942047221\n",
      "loop no 10.0 for tract no 4269 with population 985034.293763114\n",
      "loop no 11.0 for tract no 4269 with population 943615.4546841171\n",
      "loop no 12.0 for tract no 4269 with population 633300.7374426126\n",
      "loop no 13.0 for tract no 4269 with population 706431.6651313509\n",
      "loop no 14.0 for tract no 4269 with population 776425.896407224\n",
      "loop no 9.0 for tract no 4272 with population 981481.0472576616\n",
      "loop no 10.0 for tract no 4272 with population 711463.3165805235\n",
      "loop no 11.0 for tract no 4272 with population 755564.2875496217\n",
      "loop no 12.0 for tract no 4272 with population 764178.313670546\n",
      "loop no 9.0 for tract no 4273 with population 774649.8248267928\n",
      "loop no 9.0 for tract no 4274 with population 746994.2528123196\n",
      "loop no 10.0 for tract no 4274 with population 760153.5860773955\n",
      "loop no 11.0 for tract no 4274 with population 766154.4515189694\n",
      "loop no 9.0 for tract no 4275 with population 2711628.55911275\n",
      "loop no 10.0 for tract no 4275 with population 799516.618411597\n",
      "loop no 11.0 for tract no 4275 with population 792921.1480222116\n",
      "loop no 12.0 for tract no 4275 with population 776308.5860196876\n",
      "loop no 9.0 for tract no 4277 with population 757718.3930237733\n",
      "loop no 10.0 for tract no 4277 with population 769459.6904094715\n",
      "loop no 9.0 for tract no 4278 with population 758347.186698482\n",
      "loop no 10.0 for tract no 4278 with population 764368.1676817038\n",
      "I am working on tract number 4280 of 5160 tracts\n",
      "loop no 9.0 for tract no 4280 with population 1188512.739147186\n",
      "loop no 10.0 for tract no 4280 with population 768043.1315493778\n",
      "I am working on tract number 4300 of 5160 tracts\n",
      "loop no 9.0 for tract no 4302 with population 766844.4219036992\n",
      "loop no 9.0 for tract no 4310 with population 764891.9885944661\n",
      "I am working on tract number 4320 of 5160 tracts\n",
      "loop no 9.0 for tract no 4325 with population 762356.7730667308\n",
      "loop no 9.0 for tract no 4326 with population 765986.4981881089\n",
      "loop no 9.0 for tract no 4327 with population 771886.4764551183\n",
      "I am working on tract number 4340 of 5160 tracts\n",
      "loop no 9.0 for tract no 4345 with population 767027.1542985494\n",
      "loop no 9.0 for tract no 4354 with population 879610.9444591713\n",
      "loop no 10.0 for tract no 4354 with population 635779.5871172915\n",
      "loop no 11.0 for tract no 4354 with population 657850.3900647031\n",
      "loop no 12.0 for tract no 4354 with population 879849.2051329451\n",
      "loop no 13.0 for tract no 4354 with population 879610.2823904379\n",
      "loop no 14.0 for tract no 4354 with population 829475.184990396\n",
      "loop no 15.0 for tract no 4354 with population 804224.2780634731\n",
      "loop no 16.0 for tract no 4354 with population 790954.7936923666\n",
      "loop no 17.0 for tract no 4354 with population 782429.9072480998\n",
      "loop no 18.0 for tract no 4354 with population 777071.73968977\n",
      "loop no 19.0 for tract no 4354 with population 773882.7711794294\n",
      "I am working on tract number 4360 of 5160 tracts\n",
      "loop no 9.0 for tract no 4377 with population 564220.5701665769\n",
      "loop no 10.0 for tract no 4377 with population 604515.1342210273\n",
      "loop no 11.0 for tract no 4377 with population 933377.3937785279\n",
      "loop no 12.0 for tract no 4377 with population 925322.5847488506\n",
      "loop no 13.0 for tract no 4377 with population 720967.9289812188\n",
      "loop no 14.0 for tract no 4377 with population 774564.0019515047\n",
      "I am working on tract number 4380 of 5160 tracts\n",
      "loop no 9.0 for tract no 4382 with population 785383.0555689301\n",
      "loop no 10.0 for tract no 4382 with population 772407.2743778022\n",
      "loop no 9.0 for tract no 4383 with population 766376.8388504857\n",
      "loop no 9.0 for tract no 4399 with population 765613.8151383968\n",
      "I am working on tract number 4400 of 5160 tracts\n",
      "I am working on tract number 4420 of 5160 tracts\n",
      "loop no 9.0 for tract no 4431 with population 823450.9618095087\n",
      "loop no 10.0 for tract no 4431 with population 739163.8002116538\n",
      "loop no 11.0 for tract no 4431 with population 740810.3850479887\n",
      "loop no 12.0 for tract no 4431 with population 958086.5954455124\n",
      "loop no 13.0 for tract no 4431 with population 883011.9194193257\n",
      "loop no 14.0 for tract no 4431 with population 772051.5202263971\n",
      "I am working on tract number 4440 of 5160 tracts\n",
      "loop no 9.0 for tract no 4445 with population 741923.9403244434\n",
      "loop no 10.0 for tract no 4445 with population 774159.1313957763\n",
      "loop no 9.0 for tract no 4450 with population 768149.5044981198\n",
      "I am working on tract number 4460 of 5160 tracts\n",
      "loop no 9.0 for tract no 4476 with population 763872.8550552771\n",
      "loop no 9.0 for tract no 4479 with population 762738.0294106235\n",
      "I am working on tract number 4480 of 5160 tracts\n",
      "loop no 9.0 for tract no 4485 with population 773939.4460572312\n",
      "loop no 9.0 for tract no 4498 with population 763882.2117407441\n",
      "I am working on tract number 4500 of 5160 tracts\n",
      "loop no 9.0 for tract no 4504 with population 763545.2327036173\n",
      "loop no 9.0 for tract no 4506 with population 719784.4093300609\n",
      "loop no 10.0 for tract no 4506 with population 746341.1611358769\n",
      "loop no 11.0 for tract no 4506 with population 774250.5837439123\n",
      "loop no 9.0 for tract no 4519 with population 772329.4892055538\n",
      "I am working on tract number 4520 of 5160 tracts\n",
      "loop no 9.0 for tract no 4521 with population 770759.6344410533\n",
      "loop no 9.0 for tract no 4522 with population 747238.8440359089\n",
      "loop no 10.0 for tract no 4522 with population 771636.803038294\n",
      "loop no 9.0 for tract no 4523 with population 848646.140783999\n",
      "loop no 10.0 for tract no 4523 with population 785739.2155831814\n",
      "loop no 11.0 for tract no 4523 with population 772969.2105312078\n",
      "loop no 9.0 for tract no 4525 with population 973901.6689629134\n",
      "loop no 10.0 for tract no 4525 with population 932879.5985438728\n",
      "loop no 11.0 for tract no 4525 with population 637569.3044216506\n",
      "loop no 12.0 for tract no 4525 with population 666382.177952923\n",
      "loop no 13.0 for tract no 4525 with population 863221.5701979655\n",
      "loop no 14.0 for tract no 4525 with population 803128.231445246\n",
      "loop no 15.0 for tract no 4525 with population 789307.2624825721\n",
      "loop no 16.0 for tract no 4525 with population 781335.6929224218\n",
      "loop no 17.0 for tract no 4525 with population 776340.5563986879\n",
      "loop no 9.0 for tract no 4534 with population 912932.3290432133\n",
      "loop no 10.0 for tract no 4534 with population 631532.3536349662\n",
      "loop no 11.0 for tract no 4534 with population 648392.3836807935\n",
      "loop no 12.0 for tract no 4534 with population 950096.7330485457\n",
      "loop no 13.0 for tract no 4534 with population 911824.6568079462\n",
      "loop no 14.0 for tract no 4534 with population 639421.524312464\n",
      "loop no 15.0 for tract no 4534 with population 695910.3246536664\n",
      "loop no 16.0 for tract no 4534 with population 725831.8990761684\n",
      "loop no 17.0 for tract no 4534 with population 743048.519959511\n",
      "loop no 18.0 for tract no 4534 with population 753847.3424706943\n",
      "loop no 19.0 for tract no 4534 with population 760022.6383261946\n",
      "loop no 20.0 for tract no 4534 with population 763737.6192749708\n",
      "I am working on tract number 4540 of 5160 tracts\n",
      "loop no 9.0 for tract no 4542 with population 738105.0887102757\n",
      "loop no 10.0 for tract no 4542 with population 764925.0347616606\n",
      "I am working on tract number 4560 of 5160 tracts\n",
      "loop no 9.0 for tract no 4560 with population 773129.3848682698\n",
      "loop no 9.0 for tract no 4562 with population 798592.1299188132\n",
      "loop no 10.0 for tract no 4562 with population 766773.6337491263\n",
      "loop no 9.0 for tract no 4565 with population 756316.7659218602\n",
      "loop no 10.0 for tract no 4565 with population 765741.2921093112\n",
      "loop no 9.0 for tract no 4566 with population 1510517.1490800662\n",
      "loop no 10.0 for tract no 4566 with population 984951.2289312435\n",
      "loop no 11.0 for tract no 4566 with population 741441.184503067\n",
      "loop no 12.0 for tract no 4566 with population 748659.8280374443\n",
      "loop no 13.0 for tract no 4566 with population 763321.05159199\n",
      "loop no 9.0 for tract no 4569 with population 761106.7547318138\n",
      "loop no 10.0 for tract no 4569 with population 763512.0264572471\n",
      "loop no 9.0 for tract no 4570 with population 747696.9665014114\n",
      "loop no 10.0 for tract no 4570 with population 755534.0126299665\n",
      "loop no 11.0 for tract no 4570 with population 771934.9923168202\n",
      "loop no 9.0 for tract no 4574 with population 6745647.525549458\n",
      "loop no 10.0 for tract no 4574 with population 6745830.934099379\n",
      "loop no 11.0 for tract no 4574 with population 1129903.2961634053\n",
      "loop no 12.0 for tract no 4574 with population 989595.4496693579\n",
      "loop no 13.0 for tract no 4574 with population 912435.7152981755\n",
      "loop no 14.0 for tract no 4574 with population 860363.9720815637\n",
      "loop no 15.0 for tract no 4574 with population 819150.8800701529\n",
      "loop no 16.0 for tract no 4574 with population 797963.6113210286\n",
      "loop no 17.0 for tract no 4574 with population 786280.3379296446\n",
      "loop no 18.0 for tract no 4574 with population 779509.4335905307\n",
      "loop no 19.0 for tract no 4574 with population 775468.0563236598\n",
      "loop no 9.0 for tract no 4575 with population 776291.7054455075\n",
      "loop no 9.0 for tract no 4576 with population 714715.3581474364\n",
      "loop no 10.0 for tract no 4576 with population 783014.5902263855\n",
      "loop no 11.0 for tract no 4576 with population 775021.5895419067\n",
      "loop no 9.0 for tract no 4577 with population 769420.6734793613\n",
      "I am working on tract number 4580 of 5160 tracts\n",
      "loop no 9.0 for tract no 4580 with population 740014.7527476265\n",
      "loop no 10.0 for tract no 4580 with population 762166.9031112003\n",
      "loop no 9.0 for tract no 4583 with population 770747.1776009996\n",
      "loop no 9.0 for tract no 4584 with population 777792.8422583849\n",
      "loop no 10.0 for tract no 4584 with population 771815.73615112\n",
      "loop no 9.0 for tract no 4587 with population 767116.2063461429\n",
      "loop no 9.0 for tract no 4590 with population 755198.8325433665\n",
      "loop no 10.0 for tract no 4590 with population 755074.2294518738\n",
      "loop no 11.0 for tract no 4590 with population 755041.3802433051\n",
      "loop no 12.0 for tract no 4590 with population 763364.5008949381\n",
      "I am working on tract number 4600 of 5160 tracts\n",
      "loop no 9.0 for tract no 4603 with population 791979.3362187201\n",
      "loop no 10.0 for tract no 4603 with population 767411.2708711177\n",
      "loop no 9.0 for tract no 4617 with population 758765.7709640079\n",
      "loop no 10.0 for tract no 4617 with population 764446.0681246454\n",
      "I am working on tract number 4620 of 5160 tracts\n",
      "loop no 9.0 for tract no 4627 with population 814812.7048852061\n",
      "loop no 10.0 for tract no 4627 with population 786946.8802700548\n",
      "loop no 11.0 for tract no 4627 with population 768589.5400444267\n",
      "loop no 9.0 for tract no 4630 with population 918280.1765665264\n",
      "loop no 10.0 for tract no 4630 with population 829302.196163608\n",
      "loop no 11.0 for tract no 4630 with population 766859.6440931766\n",
      "loop no 9.0 for tract no 4633 with population 755621.2787705072\n",
      "loop no 10.0 for tract no 4633 with population 774234.7706464957\n",
      "loop no 9.0 for tract no 4635 with population 2065689.372142683\n",
      "loop no 10.0 for tract no 4635 with population 548531.6009781846\n",
      "loop no 11.0 for tract no 4635 with population 533222.8054999262\n",
      "loop no 12.0 for tract no 4635 with population 3894949.1830587513\n",
      "loop no 13.0 for tract no 4635 with population 3895309.892113068\n",
      "loop no 14.0 for tract no 4635 with population 3895439.037862045\n",
      "loop no 15.0 for tract no 4635 with population 3853616.564415786\n",
      "loop no 16.0 for tract no 4635 with population 3828841.777083164\n",
      "loop no 17.0 for tract no 4635 with population 3801250.594903401\n",
      "loop no 18.0 for tract no 4635 with population 3768734.645070811\n",
      "loop no 19.0 for tract no 4635 with population 3736782.7775890366\n",
      "loop no 20.0 for tract no 4635 with population 3710651.4880367555\n",
      "loop no 21.0 for tract no 4635 with population 3683041.0966449482\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.67075 0.57105 180789.1267 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.19053 0.16221 106419.2922 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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yY8ENi3+/QMQPWmsWLJ9No06/kDBhQtbM20HLBu0Nyztz4QS12pRj0451DHWegOe4xaRMkcqwvC9l0UUObxfcWjilEH0ccrIi8D512x/j8vUQU49luAJ5k7PBpxh1fs3A2BlX6dj3DE+fh5t6LCG+2KuQl/QY2p5B43tQqWw1Nvru4YeCJQzLW7lxEXXa/cTLly9YPnsLjrbOceITtN7rY7vrMf0V24dW/mvbzv9bgCoonixA9fay4bdLGpSvd0AfP/Pc1CMJ8dkuXDmrqzYrrrOXSqwnzxmjIyIiDMt6E/pGu47robOVtNKN7Kvqu/dvG5YVXcTnQyv/9UuFtAT5FiNvrqR06HsGt+lXCA+37EMOSik6tMhGgFcR3oRGUr/DcZauu2vqsYSItsBtq7BpU567D+7gP309zp1cSZDAmOq6eec6jeyrsmD5LDrb9WaJRxCZMmQxJCsmxasiB8iZLSmr5hbFtlFmZvrcpGW3k9x/GGrqsQxXulgqNvkX48cfUtJ7xAVcxsSPJQ2E+QoPD2f01AHYuzSnQJ6CbPLfy8/lqhuWt2PvVmraluX85dN4jV/CkJ7jsEpkZVheTIp3RQ6QNEkCxrvmZ/LwAhw6/pyatkfZf+SZqccyXIZ0iVk8ozDd2ufAf9VdGnY6xvVbr009lhD/496DO7ToWpNZvpNo08SRFXO2kT1LLkOyIiMjmeo9llbdbMiYLhMbfHZR+9dGhmQZJV4W+T+a1cnE2vlFSZokAU0cTzB3seUvQJUokWKgU27muRfkyvXX1LQ9yradj009lhDv7Duyk5q2ZTl8cj9TR8xj7IDpJEmcxJCsJ88e075PIybMGkaDGs1Z77OT/Hm+MyTLSPG6yAEKf2tNoG8xqlZMy7CJl+nqeo6Xryz/FMUaVdIT6FuMrJkT08b5FO6e14iIsOy/xETcprXGy38qTRyrkSyZNet9gmlS29awvBNnDlPLrhx/7d7CGJepTB/lQ/Jk1oblGSneFzlA6pSJ8HYviGu33Kzf+oDabY9y/vIrU49luH+WNGhSOxOT51zHrmf8WNJAxD0vXj6n88BWjJjcj+qVarPRdzff5//BsLyla32o3/FnwsLDWDFnG+2adYm7pxZGx8dOaYnpL1Offhgdwfsf66LV9+r8P+3SazYbuwRmXBEZGan9Vt7Wecrt1KVr79eHTzwz9UgiHjl78aSu3LiIzlE6iZ654HdDr8AOeR2i+43urLOVtNLNutTQDx7dMywrJiGnH36eiqXSvFuAqsvAswydaPkLUCmlaN0wC6u9f0ApaNjpOAsDblv8+wXC9NZsXkbtthV58uwxSz020bVtX8P2jK/dvEyDjj/jv8qbHh0GsGj6BtKnzWhIVmyTIn+Pfxag6tgyK96Lb9PU8QS371n+AlTFCqVko28xKpZOzcBxl1i+QZbEFcYIDQtl6MQ+dHW1pfC3xdjkv48KpX42LG/bziBq2ZXj6o1LzJ+0kv5dRxq2zK0pSJF/gFWiBIzskw8Pt285df4lNW2PsvPAE1OPZbh/ljRIkAAuX7P8pQxE7Lt97yZNHavjvXg6nVr2YLnnFrJkzGZIVkREBO6eI2jjXJ/sWXKx0W8Pv1WuY0iWKUmRf0L93zISuLAYaVIlokXXk8xccMPiDzkkSKAw5/d9RNwVvH87NW3Lcur8MWaN9WdEH3fDLrp59OQBdj3rMXnOGJrVacOaeTvIk+MbQ7JMTYo8Gt4uQFWU2r+mx00WoBLis2mtmbngd1o61SJNqrQELtxFvepNDcs7cvIANW3LsfvgX0wYNIuJQ71IljSZYXmmJkUeTSmsEzHL7TtG9MnL1uDH2Ngd5dT5l6YeS4g479mLp3Ts2wS3GYOo/WsjNvjsokDe7w3J0lrju2IODTtVQSnFau+/aN2wo3mfWhgNUuSfQSlFp5bZCPAswus3kdRtd4zl6++Zeiwh4qxT549Ry648W4M3MqLPRGa5+ZPCOqUhWSGvX+E8vCMDxjrxU+mqBPntpVihkoZkxTVS5F+gdPFUBPkVo0SRFDgPP09/N1mASoj/Wr7el7rtKvH69SsCPP+gU8vuhu0ZX7p2nrrtK7Ei0J++jkPxmbKatKnTGZIVF0mRf6GM6ROzZGYRnNpmx2/lXRrZH5cFqIQA3oS+YcDYbjgP70iJImUI8ttL6eIVDMvb9OdabOzKc/veTfymraOX/WDDlrmNq+LX1sawRIkUrt3z4O1ekEtXQ6hpd5Ttu2QBKhF/3bh9lUadfsF3hRdObfuyZOZGMqbPbEhWeHg4btNd6dC3CflyF2CT316qlP/NkKy4Too8BtSskp6NfsXImikxdj1PMcnrmnxGpoh3/ty9mRq2Zbl49Rze7stx7e5GokSJDMm6//AuLbvZMNPHHbvGDqya+yc5suY2JMscSJHHkH8WoGpsk5GJXtdp4ywLUIn4ITIykslzRmPboy5ZM2Yj0Hc3NavUNyxv/9Hd1LQty6Hje5gy3JtxA2cYtsytuZAij0HJkiZkyvACjHf9hp37n1LT9ihHTj439VhCGObx00e0dW6Au+dIGtVqxboFweTLVcCQLK013ktm0MThV5ImScba+X/TtI6dIVnmRoo8himlsG2UhVVz3y7B2bDTcXxX3DHLq0HNcGQRi46dPkRN27L8vW8rbgOmM3XEPJIlTW5I1stXL+jqastQ995UrViTQN/dFP62mCFZ5kiK3CDFC6ckyK8YFUqlZsDYizgPP0/Ia/P5wAqFZV9AIb7OotXzaNDxZyIjI1k190/aNnE07NTCC1fOULttBdZvXYFrtzF4uweQOmUaQ7LMlRS5gf5ZgKqPQ05WBN6nbvtjXL4uC1EJ8xXyOoTeI+zpN7ozZUtUYpP/XkoUKW1Y3ro/ArBpU4FHTx6yeOZGnNr1i3enFkaH/B8xWMKEit4OufCdWojb90KpZXuUTX8+NPVYQny2qzcuUb9DZZau88G5kyt+09aRLk0GQ7LCwsMYPqkfnQe0omD+Imzy38dPpX8xJMsSSJHHkl8qpCXItxh5cyWlQ98zuE2/Qni4HIQW5mHL3xuoZVeOm3eu4TNlNf06DzdsPe8792/R1LE6cxZNpWOLbgR4/kHWTNkNybIUUuSxKGe2pKyaWxTbRpmZ6XOTlt1Ocv9hqKnHEuKDIiIiGO8xlHa9GpIzWx42+u6h2k82huXtPriDmrZlOXnuKB5jfBnZdxKJrRIblmcppMhjWdIkCRjvmp/Jwwtw6PhzatoeZf+RZ6YeS4j/8fDxfVp3r8O0eeNoWb89a+btIFf2vIZkaa2ZtXAizbvWIFWK1KxfEEz9Gs0NybJEUuQm0qxOJtbOL0rSJAlo4niCuYtvmeUpisIyHTqxjxq2Zdl3JBj3wZ64D/EkaZKkhmQ9e/EUe5dmjJ42kJpV6hO4cDfffVPYkCxLJUVuQoW/tSbQtxhVK6Zl2MTLdHE9y4uX8oEVwnS01ixYPptGnX7BKpEVa+ftoGWD9oblnb5wHJs25dmyYwPDe7vjOW6xYcvcWrJPFrlSKqdSartS6rRS6qRSqmfU/cOVUjeVUkeivow7cGbBUqdMhLd7QVy75WbD1ofUaXeM85dfmXosEQ+9CnlJj6HtGDS+B5XLVWej7x6KFCxhWN6KQH/qtP2JV69estxzC/atelj8B0AYJTp75OFAH63190A5wEkpVSjqscla6+JRX4GGTWnhEiRQOLXLwRKPwjx+Go5Nm6Os2SyfYC9iz8Wr56jTtiKrgpbg0mUECyatJE2qtIZkvQl9g+v4HvQY2p4ShUsT5LeXMsUrGpIVX3yyyLXWt7XWh6JuPwdOA3IukAEqlkpDkF8xChWwpqvrOYZOvERomHxghTBW4LZV2LQpz72Hd1k0fQM9Ow407KKbm3eu09jhV3yWz6aLXW+WeASRKUMWQ7Lik8/61VJK5QFKAHuj7uqmlDqmlJqnlDLmr+94JmumJAR4FaFjy6x4L75NU8cT3L73xiSzyFuvli08PJxRUwdg79KcAnkKssl/L5XLVTMsb8eeP6jRugznL59mzoSlDO45zrBlbuObaBe5UioFsAJw1lo/A2YB3wDFgdvAxA/8nINS6oBS6sD9+3K4IDqsEiVgZJ98eLh9y6nzL6lpe5Tg/U9idQY5VGnZ7j24Q/OuNZjtO4m2TTuzYs42smfJZUhWZGQkU73H0qp7bTJnyELgwt3YVG1oSFZ8Fa0iV0pZ8bbE/bXWKwG01ne11hFa60hgDlDmfT+rtfbSWpfSWpfKmDFjTM0dL9T/LSOBC4uRJlUiWjqdZOaCG3KKovhqew8HU6N1GY6cPMC0kfNx6z/NsPW8nzx7TLvejZgwaxgNa7Zg3YJgvsn9rSFZ8Vl0zlpRgDdwWms96V/3Z/3X0xoCJ2J+PFEgb3I2+BSl9q/pcZtxlY59z/D0uZyiKD6f1hov/6k07Vwda+sUrPcJprFNa8PyTpw5TC27cuzYs4Ux/acxbeQCkiezNiwvPovOHnlFwA6o+p9TDScopY4rpY4BvwC9jBw0PkthnYhZbt8xok9etgY/xsbuKCfPvTT1WMKMvHj5HMcBLRkxuR+/Va5D4MLdfJ//B8PylqxZQL0OlQkLD2PFnG20a9pZTi000CffadBaB8N7F6eW0w1jkVKKTi2zUez7FHQeeJZ67Y8xduA3NKuTydSjiTju3KVTdOrXjMvXLzC4x1g62/U2rFRfv3nNkN+dWbR6HpXK/MrMMQtJn1YOqRpNruw0M6WLpyLIrxg//pCSXsPP09/tAq/fyCmK4v3WbFpK7bYVefbiKUs9NtGlTR/DSvzazcs06Pgzi1bPo0eHAfhPXy8lHkukyM1QxvSJWTyjME5ts+O38i6N7I9z/dZrU48l4pDQsFCGuvem6yA7Cn9bjCC/vVQo9bNheVuDN1LLrhzXbl5mweRV9O860rBlbsX/kiI3U4kSKVy758HbvSCXroZQ0+4o23c9NvVYIg64dfcGTRyr4b1kBp1a9mC55xayZMxmSFZERAS/zx5OG+f6ZM+Si42+e6heqbYhWeLDpMjNXM0q6dnoV4ysmRJj1/MUk7yuERkppyjGV8H7t1PTtixnLpxg1lh/RvRxxyqRlSFZj548wK5nPabMdaN53basmbeD3DnyGZIlPk6K3ALkzZmMdfOL0tgmIxO9rtPG+RSPnoSZeiwRiyIjI5mxYAItnWqRLk16NvjspF71poblHT6xnxqty7Ln0A7cB3syadgckiVNZlie+DgpcguRLGlCpgwvwHjXb9i5/yk1bY9y5ORzU48lYsHT50/o2LcJY2cMps6vjdngs4sCeb83JEtrjU+AJw07VSFhwoSs9v7L0GVuRfRIkVsQpRS2jbKw2vsHlIKGnY7ju+LOF10NqhQgV5HGeafOH8PGrjzbdgYxsu8kPNz8sE6ewpCskNev6DmsA67julOpbDU2+u6h6Pc/GpIlPo8UuQUqViglG32LUaFUagaMvYjz8POEvI4w9Vgihi1f70vddpV4/SaEAM8/6Niim2GnFl66dp667X5i5cZF9O08DJ/Jq0ibOp0hWeLzSZFbqHRprFg4pRB9HHKyIvA+ddsf49K1EFOPJWLAm9A39Hdzwnl4R378oSxBfnspXbyCYXlBf67Bxq48d+7fxn/6enp1GmTYMrfiy8ivhgVLmFDR2yEXvlMLcfteKDZ2R9n050NTjyW+wo3bV2nYqQp+K+fg1LYvi2cEkjF9ZkOywsPDGTNtIB37NuWb3N8S5LeHn8tVNyRLfB0p8njglwpp2eRXjHy5k9Gh7xncpl8hPFyOf5ubP3dvpoZtWS5dPY+3+3Jcu7sZtp73/Yd3aeFUC4+FE2nTxJGVc7eTI2tuQ7LE15MijydyZE3Kyjk/YNsoMzN9btLC6QT3H4aaeiwRDZGRkUyeMxrbHnXJmik7gb67qVmlvmF5+4/sokbrMhw+sY+pI+YxdsB0w5a5FTFDijweSZokAeNd8zN5eAEOn3hBjdZH2H/kmanHEh/x6MlD2jo3wN1zJI1qtWLd/L/Jl6uAIVlaa+Yunk4Tx2okS2bNugV/06S2rSFZImZJkcdDzepkYu38oiRLmpAmjieYu/iWfGBFHHTs9CFq2ZUjeP82xg6YwdQR80iWNLkhWS9fvaCrqy3DJvbh159qEbhwF4UKFDUkS8Q8KfJ4qvC31gT6FqNqxbQMm3iZLq5nefFSPrAiLtBa47/Km/odKqO1ZuWc7bRp4mDYqYXnL5+mdtsKrN+6gkHd3fB2DyB1yjSGZAljSJHHY6lTJsLbvSCu3XKzYetDarc9xvnLr0w9VrwW8jqEPiMdcBnThfIlfybIbw8lipQ2LG/tluXUbluRx08fscQjiK5t+8oHQJghKfJ4LkEChVO7HCzxKMyTZ+HYtDnKms3yIdmmcOXGRep1qMTSdT70sh+E79S1pEuTwZCssPAwhk3sS5eBrfk+/w8E+e2lYqkqhmQJ40mRCwAqlkpDkF8xChWwpqvrOULD5Jh5bNq8Yz21bMtx6851Fk5ZQ1/HYYat533n/i2aOlZn7uJpdGzZnQCvP8iaKbshWSJ2SJGLd7JmSkKAVxE6tXz7udpWVvLbw2gRERGMmzmE9r0bkTtHPjb67uHXn2oZlrfrwF/UaF2Gk+eO4uHmx8g+Ew1b5lbEHmOuJhBmyypRAkb0yUe93zKSL1dSU49j0R4+vk/XQXYE79tG64YdGdl3MkmTGPP/XGvNrIUTGTtzMPlyFWD57M18m6+QIVki9kmRi/cq+UNKU49g0Q4e34vjgJY8fvKASUPn0LxeW8Oynr14Sq/hHQn6cy11qjVm4hAvUljLr68lkSIXIhZprfFZPpvhk/qSNXMO1nj/RZGCJQzLO3X+GPYuLbhx6wrDe7vTqWV3OSvFAkmRCxFLXoW8xGVMF1YFLaFaJRumjphPmlRpDctbEeiPy5iupE6ZhuWeWyhTvKJhWcK0pMiFiAUXr57Dvl8zzl85Q/+uI+nWzsWwpWDfhL5h+KS+LAzwpPyPlfFw8yNThiyGZIm4QYpcCINt2LqS3iPtSWyVBP/pG6hc9lfDsm7euYZj/5YcPrmfrm360L/rKMNWSBRxh/wKC2GQ8PBw3GYMwtNvMiWKlMFz3GKyZ8lpWN5fe7bgNKgNYeGhzP19GbV+aWBYlohb5ERhIQxw78EdmnetgaffZNo17cLKOdsMK/HIyEimzHWjdfc6ZM6QhcCFu6XE4xnZIxcihu09HEznAa149uIp00ctoFGtVoZlPXn2mB5D27M1OJBGtVox3nUmyZNZG5Yn4iYpciFiiNYaL/+pjJk+kFzZ87Jo5ga+z/+DYXnHzxzG3qU5d+7dxG3AdNo0Nm6FRBG3SZELEQOev3hGn1EObNi6EptfGjBp2FxSpkhlWN7i1fMZNKEH6dNmYuXc7fxYpIxhWSLukyIX4iudvXgSe5fmXLlxkSE9x+Fo28uwPeOQ1yEM+d2ZxWvmU7lsNWaOWWjYConCfEiRC/EVVgctoe/ozqSwTslSj02UL1nZsKyrNy7h0L8FJ84eoWfHgfRxGGrYConCvEiRC/EFQsNCGTWlP/OWzqRM8YrMGutPlozZDMv7IziQHkPaAeAzZTXVfrIxLEuYHzn9UIjPdOvuDZo4VmPe0pk4tHZm2ezNhpV4REQEE2YNo61zA3Jmy0OQ314pcfE/ZI9ciM8QvH87XV1tef0mhNnjFlG3WhPDsh49eYDToDbs2PsHLeq1Y7TLVJIlTWZYnjBfUuRCRENkZCQeC90Z7zGUb3J/y9zfl5E/T0HD8g6d2Idj/5Y8fHwP98GetGzQ3rAsYf6kyIX4hKfPn+A8rAObd6yn/m/N+H3wbKyTpzAkS2uNT4Anwyf2IUum7KyZt4MfDFzmVliGTx4jV0rlVEptV0qdVkqdVEr1/M/jfZVSWikl50AJi3Py3FFs7MqzbWcQo/pOZuYYX8NKPOT1K3oMbc+g8T2oVLYaG333SImLaInOHnk40EdrfUgplRI4qJTaorU+pZTKCVQHrhk6pRAmsGz9QgaO7UaaVOkI8NpK6WLlDcu6dO08Di7NOXPxJP06D6dHhwGGLXMrLM8ni1xrfRu4HXX7uVLqNJAdOAVMBlyANUYOKURsev3mNUPde+O/ai4VSlVhlpsfGdJlMixv4/bV9BreiUSJrPCfvp6fy1U3LEtYps86Rq6UygOUAPYqpeoBN7XWR2V9B2Epbty+ikP/Fhw9dZBu7frRr/MIw9bzDg8PZ7zHEDwWTqRE4dJ4jl9M9iy5DMkSli3av0OVUimAFYAzbw+3DAJ+i8bPOQAOALlyyW9SEXdt37WJbkPaEhEezjz3AGpUqWdY1r0Hd+g6yI7dB/+iTRNHhvd2J0niJIblCcsWrYNwSikr3pa4v9Z6JfANkBc4qpS6AuQADiml/ufzpLTWXlrrUlrrUhkzZoy5yYWIIZGRkUzyGoVdz3pkzZSdjX57DC3x/Ud2UdO2LIdP7GPqiHmMHTBdSlx8lU/ukau3x028gdNa60kAWuvjQKZ/PecKUEpr/cCgOYUwxKMnD+kxtB3bd22iSW1bxg2cQbKkyQ3J0lozd/F0Rk8dQI5sefCfsd7QZW5F/BGdQysVATvguFLqSNR9rlrrQMOmEiIWHD11EIf+Lbj34DbjBs7EtlEnw1YtfPHyOX1HO7JuSwA1q9Rj8nBvUqVIbUiWiH+ic9ZKMPDR391a6zwxNZAQRtNa47/KmyG/O5MxfRZWzf2T4oVLGZZ3/vJpOvVrxqVr5xnU3Y0ubfrIB0CIGCVXdop4JeR1CK7ju7Ns3UKqlP+N6aN8SJcmvWF5azYvo+8oR5Ins2apxyYqlPrZsCwRf0mRi3jjyo2L2Ls05/T54/S2H4xzp0GGrecdGhbK6GkD8V48ndLFKjB73CJDl7kV8ZsUuYgXNu9YT8+h7UmQIAELp6yhasWahmXdvneTzgNaceDYbjq17MHgnmOxSmRlWJ4QUuTCooWHh/O753BmzJ9A0e9/xGv8EnJmy2NY3s4Df9LV1ZZXIS+ZNdafetWbGpYlxD+kyIXFevDoHl0H2bFz/3ZaN+zEyL6TSJokqSFZWms8fNwZ5zGEfLkKEOC5hQJ5vzckS4j/kiIXFung8b049G/Bk6cPmTRsLs3rtjEs69mLp/Qa3pGgP9dSt3oT3Ad7ksI6pWF5QvyXFLmwKFprFiybxYjJ/ciWOSdr5u2gyHfFDcs7df4Y9i4tuHHrCiP6TKRji25yaqGIdVLkwmK8CnlJv9GdWb1pKdUr1WbKiHmkSZXWsLyADX70d3MiTaq0BHj+QeniFQzLEuJjpMiFRbhw5SwOLs05f+UM/buOpFs7F8PW834T+oZhE/vgu8KL8iV/ZpabHxnTZzYkS4jokCIXZm/D1pX0HmlPYqsk+E/fQOWyvxqWdfPONRxcWnDk1AGc2vbFpctIw5a5FSK65HegMFth4WGMnTEYT7/J/PhDWWaPXUT2LDkNy/trzxacBrUhPDwMb/fl1KxS37AsIT6HfJaUMEt3H9ymeZcaePpNpn2zrqzw2mpYiUdGRjJ57hhad69DloxZCfTdLSUu4hTZIxdmZ8+hv+kysDXPXz5j+qgFNKrVyrCsx08f0WNoe7bt3Ehjm9aMd51p2DK3QnwpKXJhNrTWePpPwW26K7mz52PxzEAK5i9iWN7xM4exd2nOnXs3cRswnTaNHeTUQhEnSZELs/D8xTN6j7QncNsqbH5pwKRhc0mZIpVheYtXz2fQhB6kT5uJVXP/pESR0oZlCfG1pMhFnHf24knsXZpz5cZFhjiPx7G1s2F7xiGvQxg8oSdL1i6gctlqzByzkHRpMhiSJURMkSIXcdrqoCX0Hd2ZlNapWDZrM+V+rGRY1tUbl3Do34ITZ4/g3MmV3vZDDFvmVoiYJEUu4qTQsFBGTnZh/jIPyhSvyOxxi8icIatheVv+3kDPoe1RSuEzZTXVfrIxLEuImCanH4o459bdGzR2+JX5yzxwtO3FstmbDSvxiIgIxnsMpV2vhuTMloeNvnukxIXZkT1yEaf8vW8bXV1teRP6Gs9xi6lTrbFhWQ8f38dpUBv+3reVVg06MKrfFMOWuRXCSFLkIk6IjIxkps/vTJg1jPx5vmPOhGXkz/OdYXmHTuzDsX9LHj6+x8QhXrSo386wLCGMJkUuTO7p8yf0HNqeLX9voEGN5kwYNAvr5CkMydJa4xPgyfCJfciaOQdr5+2gSMEShmQJEVukyIVJnTh7BAeXFty8c43R/abQrlkXw04tfBXykv5uTqzcuIhff7Jh2sj5hi5zK0RskSIXJrN03UJcx3UjTer0rJizjVJFyxmWdfHqORxcmnP20ilcuoyge/v+hi1zK0RskyIXse71m9cMde+F/ypvKpb+BY8xvmRIl8mwvMBtq+g1ohNWiRKzaPoGKperZliWEKYgRS5i1fVbV3Do34Jjpw/Rrb0LLp1HGHbRTXh4OONmDmaW7yRKFC6N5/jFZM+Sy5AsIUxJilzEmu27NtFtSFsiIyKY5x5AjSr1DMu69+AOXVxbs+fQ37Rt2plhvX4nSeIkhuUJYUpS5MJwkZGRTJ4zmslzx1AwfxHmTFhK3pz5Dcvbd2QnnQe04unzJ0wbOZ/GNq0NyxIiLpB3e4ShHj15SBvn+kyaM5omtW1ZN/9vw0pca42X/1SaOFYjeXJr1vsES4mLeEH2yIVhjpw8gEP/Ftx/eIfxrh60btjRsFMLX7x8Tp9RDqz/YwW1fqnPpGFzSZUitSFZQsQ1UuQixmmt8V/lzZDfncmUISurvf+iWKGShuWdu3QKe5fmXLp2nsE9xtLZrrd8AISIV6TIRYwKef2KgeO6s3y9L1XK/8b0UT6kS5PesLw1m5bSd3RnrJOnYKnHJiqU+tmwLCHiKilyEWMuX7+AQ/8WnD5/nD4OQ+jZ0dWwUwtDw0IZPXUA3ktmULpYBWaPW0SWjNkMyRIirpMiFzFi81/r6DmsAwkSJsR36lp+qVDDsKzb927SeUArDhzbjX2rngzq4YZVIivD8oSI66TIxVcJDw/nd8/hzJg/gaLf/4jX+CXkzJbHsLzg/dtxGmRHyOtXzB63iLrVmhiWJYS5kCIXX+zBo3t0HWTHzv3bad2wEyP7TjJsPW+tNR4+7ozzGMI3ub8lwHMLBfJ+b0iWEOZGilx8kQPH9uA4oCVPnj5k0rC5NK/bxrCsZy+e4jysA5v+Wke96k1xH+Jp2DK3QpijT14QpJTKqZTarpQ6rZQ6qZTqGXX/KKXUMaXUEaXUZqWUvNMUD2itmbdkJo3tq5LEKglr5u0wtMRPnT9GLbvybA3eyMi+k/Bw85MSF+I/onNlZzjQR2v9PVAOcFJKFQJ+11oX1VoXB9YDQ40bU8QFL1+9oNvgNgxx78UvFWqw0W8PRb4rblje8vW+1G1XidevXxHg+QcdW3ST88OFeI9PHlrRWt8Gbkfdfq6UOg1k11qf+tfTrAFtzIgiLrhw5Qz2Ls25cOUsA5xG4dS2n2Hreb8JfcOwiX3wXeFFhVJV8BjjS8b0mQ3JEsISfNYxcqVUHqAEsDfq+zFAG+Ap8MsHfsYBcADIlUuWEDVH6/9YQe+R9iRNkoxFMwKpVKaqYVk3bl/FoX8Ljp46iFPbvrh0GUmiRPJWjhAfE+1dKqVUCmAF4Ky1fgagtR6ktc4J+APd3vdzWmsvrXUprXWpjBkzxsTMIpaEhYcxYrILjgNa8t03hQny22toif+5ezM1bMty6ep5vN2X49rdTUpciGiIVpErpax4W+L+WuuV73nKIqBxTA4mTOvqjUs0sq+Kl/8UOjR3YoXXVrJlzmFI1j/L3Nr2qEvWTNkJ9N1NzSr1DckSwhJ9cndHvX13yRs4rbWe9K/7C2itz0d9Ww84Y8yIIrY9efaYCg0KAjBz9EIa1GxhWNbjp4/oMaQd23YF0dimNeNdZ5IsaXLD8oSwRNH5d2tFwA44rpQ6EnWfK9BRKfUdEAlcBTobMqGIdf98svzP5aobWuLHTh/C3qU59x7cZtzAmdg26iRnpQjxBaJz1kow8L4/XYExP46IK1JYp+TbfIUMeW2tNYvXzGfwhJ5kSJeZVXP/pHjhUoZkCREfyDtJIlaFvA5h0PgeLF3nw8/lqjNjtA/p0mQw9VhCmDUpchFrrt64hL1Lc06eO0ov+0H06jTYsGVuhYhPpMhFrNi8Yz3OwzqglGLhlDX8+lMtU48khMWQD18WhoqIiGDczCG0792IXNnzstF3j5S4EDFM9siFYR4+vo/ToDb8vW8rrRt2ZGTfyYYtcytEfCZFLgxx8PheHAe05PGTB0waOofm9dqaeiQhLJYcWhExSmvNgmWzaGxfFatEVqzx/ktKXAiDyR65+CCtP29By1chL+nv1pWVGxdTrZINU0fMf3dxkRDCOFLk4r3Ue68B+7CLV89h368Z56+coX/XkXRr52LYMrdCiP+fFLn4aoHbVtFrRCcSWyXBf/oGKpf91dQjCRGvyC6T+GLh4eGMmjoAe5fmFMj7PUF+e6XEhTAB2SMXX+Tegzt0cW3NnkN/065pF4b1/p3EVolNPZYQ8ZIUufhsew8H03lAK56/fMb0UQtoVKuVqUcSIl6TQysi2rTWePlPpWnn6qSwTsn6BcFS4kLEAbJHLqLlxcvn9B5pz4atK7H5pQGThs0lZYpUph5LCIEUuYiGc5dO0alfM67cuMiQnuNwtO0lHwAhRBwiRS4+anXQEvqN6YJ18hQs9dhE+ZKVTT2SEOI/5Bi5+KA1m5fiNLgNRb4rTpDfXilxIeIoKXLxQfcf3sWhtTPLZm8mS8Zsph5HCPEBcmhFvFePDgPImys/tX5pYOpRhBCfIEUu3qtr276mHkEIEU1yaEUIIcycFLkQQpg5KXIhhDBzUuRCCGHmpMiFEMLMSZELIYSZkyIXQggzJ0UuhBBmTn3uJ6V/VZhS94GrsRb4/8sAPDBRdmyTbbU88WU7Qbb1fXJrrTN+6MFYLXJTUkod0FqXMvUcsUG21fLEl+0E2dYvIYdWhBDCzEmRCyGEmYtPRe5l6gFikWyr5Ykv2wmyrZ8t3hwjF0IISxWf9siFEMIiWXSRK6WKK6X2KKWOKKUOKKXKRN1fJuq+I0qpo0qphqae9Wt9ZFurK6UOKqWOR/23qqln/Vof2db0SqntSqkXSqkZpp4zJnxoW6MeG6iUuqCUOquUqmHKOWOCUmrpv/5cXlFKHYm6P7FSan7U7+GjSqkqJh00BnxkW62UUj5R23paKTUwWi+otbbYL2AzUCvqtg3wZ9Tt5ECiqNtZgXv/fG+uXx/Z1hJAtqjbRYCbpp7VwG21Bn4COgMzTD2nwdtaCDgKJAHyAheBhKaeNwa3eyIwNOq2EzA/6nYm4CCQwNQzGrStrYAlUbeTA1eAPJ96DYveIwc0kCrqdmrgFoDW+pXWOjzq/qRRzzN3H9rWw1rrW1H3nwSSKqWSmGC+mPShbX2ptQ4GXptqMAO8d1uB+rz9A/9Ga30ZuACUec/Pmx2llAKaAYuj7ioEbAXQWt8DngAWcZ75e7ZVA9ZKqURAMiAUePap17H0j3pzBjYppdx5exipwj8PKKXKAvOA3IDdv4rdXDnzgW39l8bAYa31m9gczADOfHpbLYUz79/W7MCefz3vRtR9lqAScFdrfT7q+6NAfaXUEiAnUDLqv/tMNF9M+u+2BvD2L+nbvN0j76W1fvSpFzH7IldK/QFkec9Dg4Bfefs/YoVSqhngDVQD0FrvBQorpb4HfJRSG7XWcXpP7ku3NepnCwPjgd9iY9av9TXbam6+cFvVe54f5/9l+bFt1Vqvibrdkv/bQ4W3O1zfAwd4u8THLiDO73h94baWASKAbEBa4G+l1B9a60sfDTP18SGDjz095f9OsVTAsw88bztQytTzGrWtQA7gHFDR1HPGxq8r0A7LOUb+3m0FBgID//W8TUB5U88bA9ubCLgL5PjIc3YBhUw9qxHbCszk7RGCf76fBzT71GtZ+jHyW8DPUberAucBlFJ5o45BoZTKDXzH2zcVzNmHtjUNsIG3f+h3mma0GPfebbVQH9rWtUALpVQSpVReoACWcaihGnBGa33jnzuUUsmVUtZRt6sD4VrrU6YaMAb9z7YC14Cq6i1roBxw5lMvZPaHVj7BHpgaVdqvAYeo+38CBiilwoBIoKvW2txXW/vQtnYD8gNDlFJDou77Tb9908hcfWhbUUpd4e2bg4mVUg14u63m/If+vduqtT6plFoGnOLtYQYnrXWE6caMMS34/w81wNszVTYppSKBm4BdrE9ljPdt60xgPnCCt/8Cm6+1PvapF5IrO4UQwsxZ+qEVIYSweFLkQghh5qTIhRDCzEmRCyGEmZMiF0IIMydFLoQQZk6KXAghzJwUuRBCmLn/B5y5Cc4i0GV+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 4635 with population 3630006.5650243065\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.61028 0.51956 137464.9806 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.17336 0.14759 96708.9066 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 4635 with population 3574321.1723276526\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.55525 0.47272 95506.0976 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.15773 0.13428 82982.3969 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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pCPIvSeXy6fAcewXPsZd5E2b5e/Na32YkyL8UmTLY0sb9DAsCb8reXCQ6Kzf709SlOtZW1mxctIem9j8alvX79Us0cKrC9r2bGd57EjNH+ZEieUrD8oyQZIscIEM6W/ynF6WbUy4C19+heedQbt+z/KfqfZE3BVv8SlK7akZGTrtG96EXZW8uEoXwiHAGT+hJn5GdKF+6MsEBBylu4D58576t1HOsxP2H91jmvRXXtj0T/T48Nkm6yCHm0rDueZnvVYjzl2MuDXvS8i8NmzqVDQsmFKZ/1zxs2H6fRh1Pc/2m7M2F6dx7cIdWXX7Ab/VcOrfrTeDMLWRMn9mQrKioKKYvHEeH3k3Im+tzggMOUqV8dUOyEkKSL/K/1a+Zmc2+JUmZwpoWbqH4r7H8X3G3slL06JibJdOK8Odfr7F3DGHv4cemHkskQcdDf6OOQwVCzh5j9hh/hvWaYOg+3MWzJZPmjaBJnTasX7ibXJ/lNSQroUiR/0PhAqkI8i/Ft1+nZ6DX7/QbkzR+xf37KtF786yZbGnb/QzzAmRvLhLOio1+NHOpga2NLZt899K4TmvDsi5fu0D9DpX56dcgRnlMZeYoX1IkT2FYXkKRIv+Xvy8N29M5F8s33qW562n+umP5e/PP86Rgs29J6nyXidEzrtF10EVevpK9uTBOWHgYA72603e0KxW+qspW/4MUK1jKsLwde7dQv31lHj5+wIrZ23Bu3c0s9+GxkSKPhbW1wrNLXhZOKszFq0nn0rDRe/NCDOyWl00/3cd/jeU/LVOYxt37t2npVhv/NfPp4tCHgBmbyJg+kyFZUVFRTPMZg1OfpuTPU4DggINUKlfNkCxTkSJ/B/vq0ZeGTZs66VwaVilFtw65sLaGJ88iTD2OsEDHTh/G3qECoRdOMmfcUob09DJsH/7s+VM69WvB5PmjaF6vHet8dpEzex5DskxJivw9Cn6ekiD//14ato9cGlaIj7Zsw2Kau35PMrvkbPLdS6PaLQ3LunztPPXaV+LnfcGM6Ted6SMWWcQ+PDZS5HGQNnX0pWH7uORmlVwaVogP9ibsDf3HudNvjBsVy1YjyP8ARb8saVjejj2bqde+Mo+fPmLl3O04tepqMfvw2EiRx5GVlaJv5zz4TvnvpWEPHLX8vbkQn+rO/Vu0cKvF0nU+dOvQj4AZm8iQLqMhWVFRUUyZPwqnvs0okLcQwQGHqPDVt4ZkJSZS5B+odrXoS8NmSGdDa/dQFi6XS8MK8TZHQg5i364C5y6dZp7XMgZ2G4u1tbUhWU+fP8Gpb1Om+oyhVYP2rPX5hZzZcxuSldhIkX+EAvlSssWvJDWrZGT4FLk0rBCxCVjrQ4vONUmRPCWbfX+lQc3mhmVdunqOeo6V2H1gB2P7z2TKsAUkT5bcsLzERor8I6VJbcPCSYXxcMvDuuB7NHaWS8MKAdH7cM+xXRgw3p0qX9cgyP8AhQsUNyxv2+6N1GtfmafPn7Bq3g46tHCz6H14bKTIP4GVlaJ3p9z4Ti3CHzdeU6ddCPuOPDb1WEKYzO17f9G8c00C1y+iu1N/lkzbQPq0GQzJioqKYuLc4Th7tKBg/iIEBxzimzJVDMlK7KTI48Hfl4bNkin60rDzl8qvuIuk58jJA9i3q8D5y6EsmLCCAe6jDduHP3n2mPa9mzBj0XjaNHJirc8v5MiWy5AscyBFHk++yBvzK+7VMjFq+jW6DZFLw4qkQWvNkjXzad65JilTpmaL3z7qfd/UsLwLV85Q17ESvx7eyfgB3kwaMo9kdskMyzMHUuTxKHUqGxZMLET/rnnYuOM+DeXSsMLCvX7zmn5j3Bjk1Z2qFWqx1f8Ahb4oZlje1l/W08DpW16+fM7qeT/h2Nw1ye3DYyNFHs+Uir40rP/0oty8FXNp2EOPTT3WR5HtkHiXv+7coLnr9yzf6EtP54EsmbaedGnSG5IVGRmJ1+yhuHi2otAXxQheeojypSsZkmWOpMgNUqNyBoL8S5E9sx1te5xhrv8Ns9qbK+QsR7zd4RP7sHeowMWr51g4aRWeXUZiZWVMnTx++ogOvZswy3cCbZs4s2b+TrJnyWFIlrmSIjdQ/twp2ORbkro1MjFm5h90GXRBLg0rzJrWGr9Vc2npVpu0qdOxxW8f9tUbG5Z3/nIo9Rwr8etvPzNh0BwmDp6b5PfhsZEiN1iqlNbMG1+Iwd3zEvTzAxo6neLajVemHkuID/b6zWv6jnJl8MSefFepNkH+Byj4eVHD8jbvXEMDp2959folaxb8TLumnQzLMndS5AlAKUXX9rlYOrMot+6GUc/xFLsPPjL1WELE2c3bf9LUpTorNy+ht8tgfKesI23qdIZkRUZGMt57MG4DfqTIlyXYGnCQciUrGJJlKaTIE1C1ChnY6l+Kz7LZ0a7HWbz9zGtvLpKmQ8d/pa5jRa78cZHFk9fg0Xm4YfvwR08e4tirEd5+k3Bo5ir78DiSIk9geXMlZ9PikjSslZnx3n/QecAFXryUvblIfLTWLF4xm1ZdfiBdmvQELdnPD981NCzv7KVT1HOsxIGju5k0ZB5eA72xs7UzLM+SSJGbQMoU1sweW5ChvfIRvOsBDTqc4vfrsjcXicer16/oNcKZoZN7U6NyHbYs2U+BfIUNy9v002oaOlXlTdhr1iz4mR8bdzQsyxJJkZuIUgq3djkJnFWMuw/CqOcYws/7Hpp6LCG4efs6TV2qsyZoKR6dh7Fo8hpD9+FjZw6ky8C2FC9UmuCAQ5Qt8Y0hWZZMitzEqn6TnuCAUuTOkZz2vc8xY9GfREXJ3lyYxoGje6jTrgJXr1/Gd+o6ersMMWwf/vDxA9r1aMAc/yk4Nu/Mqnk7yJo5uyFZlu69/0JKqdxKqV1KqXNKqTNKqZ4x949QSt1USp2Mealr/LiWKXeO5GxcXIImdbIwce51XPuf5/kL+cPHIuForVm4fBat3euQMX0mtizZT+2q9Q3LO3MxhHrtK3Ho+F4mD5nP+AGzZB/+CeLypTYC6Ku1LgJUANyVUn8/eXSa1rp0zMtWw6ZMAlIkt2bmqC8Z3jsfO/Y+pH6HU1y+9tLUY4kk4NXrV/QY5sTwKX2p9W09tvjtp0C+Qoblbdy+koZOVQkLD2Odzy7aNHYyLCupeG+Ra61vaa2Px9x+BpwDcho9WFKklMK1bU6WeRfjwaNw6rc/xY69sjcXxrlx6w8aO1dj/bbleLgNx2fiKtKkTmtIVkREBKNnDKDrYAdKFS3LtoBDlCle3pCspOaDll9KqXxAGeBwzF3dlFKnlFKLlVKxXj1eKeWqlDqqlDp67969T5s2iahSPnpvni93cpz6nGPqgusJvjdXCmRTb9n2HdlFnXYV+OPG79H78E6DDd2Ht+1Rn3kBU3Fq2ZUVc7aRJVM2Q7KSojj/qymlUgNrgV5a66fAXOALoDRwC5gS28dprRdorctprctlyZLl0ydOInJ9lpz1C0vQrG4Wpiz4E2eP8zx9Lntz8em01sxfOp027vZkyZSVIP8D1Pq2nmF5oRdOUtexIkdO7mfq8IWM8Zwu+/B4FqciV0rZEl3igVrrdQBa6zta60itdRTgA3xt3JhJU4rk1swY+SWjPPLz8/6H1G8ve3PxaV69fkn3oe0ZNd2TH6o1YLPvPr7IW9CwvPXbltOoYzUiIiNY57OLVg0cDctKyuLyrBUFLALOaa2n/uP+z/7xbk2A0PgfTyilcG6dg5VzivP4aQT12p9i2+4Hph5LmKHrN6/SqGM1NmxfSf+uo1gwYSWpU6UxJCsiIoIRU/vRbUh7Shcrx7aAQ5QuVs6QLBG3M/LKgANQ419PNZyolDqtlDoFVAd6GzloUlexbDqCA0rxRd4UOHucZ9K8P+T55iLO9h7+GXvHivz51zWWTNtAj44DDNuHP3h0jx+718Nn2QycW3djxZxtZM6Y1ZAsEc3mfe+gtd4Hsf6VAXm6YQLLmT0Z63xKMNDrCtMX3uD0+RfMGl2QdGne+88okiitNfMDpzN25kC+zFeYRVPWkD93AcPyTp8/gbNHC+4/vMP0EYtoUd/BsCzxX/KbnWYmeTIrpg4rwNj+n7Pn4GPqtQ/h4u+yNxf/38tXL3Af7MDo6f2p810jNvn+amiJr90aSGPnamit2bBoj5R4ApIiN0NKKTq0+IxV84rx7Hkk9TuEsPUX2ZuL/7p+8yoNO1Zl00+rGdhtDAsmrDBsHx4eEc7wKR70GOZEmeLfsG3pIUoW+cqQLBE7KXIz9k2Z6L15wfwpcfE8j9fsP4iMlL15Urf30E7sHSvy1+0/CZixiW4dPA37S/P3H96ljXtdFi6fSac2PVgxO5hMGeRpxglNitzM5ciWjLU+JWjTKCuzfG/QvvdZHj+V55snRVpr5iyZTNse9cme+TO2BhykeqUfDMs7de449g4VORF6mJmjfBnZdzI2NvLzGlOQIrcAyeysmDSkAF4Dv2Dfb0+o5xjC+csvTD2WSEAvX72gy6C2jJ01iHrfN2WT76/ky/WFYXmrtwTQ2LkaVlZWbFi0h2Z12xqWJd5PitxCKKVwaJad1fOL8/JVJA2cTrF5531TjyUSwLUbV2jo9C1BP69jcPdxzB0XSKqUqQ3JCo8IZ+ik3vQa4Uy5UpUIDjhIicJlDMkScSdFbmHKl0pL8NJSFPkyFW4DLjBu1rWP2psrBcjfE030dh/cQT3HSty6e5OlMzfTtb2Hofvw1l3rsHjlbFzb9mLZrCAyps9sSJb4MFLkFih7lmSsnlecdk2zMXvJTRx6nuXRk3BTjyXikdYab7+JtOvRgM+y5WKr/0GqVahlWN7JM0ep41CBk2eO4j1mCcN7T5R9eCIiRW6hktlZMWFQASYO/oKDx55Q1zGEMxdlb24JXrx8TucBbRjvPYQGNZuzafFe8ub63LC8lZv9aepSHWsrazYu3kOTOm0MyxIfR4rcwrVtkp01C0oQFqZp6HSKjdvlUsLm7Oqfl2nQoQrBuzYwtKcXc8YtJWWKVIZkhUeEM3hCT/qM7ET50pUJDjhI8UKlDckSn0aKPAkoWyINwQGlKFE4FV0HX2T0jKtERMj+29z8sn8b9RwrcefBbQJnBeHm0Mewffi9B3do1eUH/FbPpYtDHwJnbpF9eCImRZ5EZM1sx6p5xWnfIjvzAv6ibY8zPHwse3NzoLVm5mIvHHs1ItdneQn2P0jVb743LO946G/UcahAyNljzBkbwJCeXrIPT+SkyJMQO1srxvX/gilDC/DbiafYO4QQev65qccS7/D8xTNcPVsxYc4wGtVuycbFe8iTM79heSs2+tHMpQZ2tnZs8t1Lox9aGZYl4o8UeRLUulE21vmUICJS08j5NOuC75p6JBGL369fooFTFbbt2cSwXhPxHuNPiuQpDckKCw9joFd3+o52pcJXVQlacoBiBUsZkiXinxR5ElWmeBq2BZSidLHUdB96ieFTfpe9eSKyc99W6jlW4t6DuyyfHUzndr0M24ffvX+blm618V8zn66OfVk6czMZ02cyJEsYQ4o8CcuSyY4Vc4rRsdVnLFx+i9buoTx4JHtzU4qKimL6wnF06N2EPDnzs23pIaqUr25Y3rHTh7F3qEDohZPMHR/I4B7jsba2NixPGEOKPImztbFidL/PmTbiS46ffkaddic5dU725qbw/MUzXDxbMmneCJrUac2GRbvJ9Vlew/KWbVhMc9fvSWaXnM1+v9KwVgvDsoSxpMgFAC3rZ2XDopIANOl0mrBwWbMkpMvXLlC/Q2V++jWIkX2nMHOUn2H78Ddhb+g/zp1+Y9yoVO47gvwPUKRACUOyRMKQIhf/UbJIarYtLU2Z4jEXXDJoJyv+1469W6jfvjIPHt1n+exgOrXpbtg+/M79W7Rwq8XSdT50c/LEf/pGMqTLaEiWSDjy5FDxPzJlsGXF7OIsWXOLahXSm3ocixa9Dx/LlAWjKVG4DIsmryZn9jyG5R0JOUjn/q159uIp872WU79mM8OyRMKSIhf/j42Nwrl1DlOPYdGePX9Kj2Ed2LF3C83rtcNr4GxSJE9hWF7AWh+GTupFzux5WOYdROECxQ3LEglPilyIBHb52nk69m3OtRtXGOUxlY6t3A1bpbwJe8PQSb0IXL+IGpXqMGvMEtKnzWBIljAdKXIhEtD23ZvoMdyJZHbJWTlnOxXLVjUs69bdm7h4tuJE6G/06DgAj87D5amFFkqKXIgEEBUVxVSf0UzzGUupomXxmbiKnNlzG5Z35OQBXPu35vnLZ/hMXEndGk0MyxKmJ89aEcJgT58/walvU6b5jKVlA0fW+ewyrMS11ixZM5/mnWuSKlVqtvjtkxJPAuSMXAgDXfz9LM4eLbh+8ypjPWfQvoWbYfvw129eM3hCD1Zs8uP7KnWZNdqPdGnSG5IlEhcpciEMsm33RnoMcyJF8pSsmreDb8pUMSzrrzs3cPVsxYkzR+jVaRB9XYdhZSXfcCcVUuRCxLOoqCgmzx/JjEXjKV20HD6TVpEjWy7D8g6f2Idr/9a8ev2ShZNWYV+9sWFZInGSL9lCxKMnzx7TvncTZiwaT6sG7Vnr84thJa61xm/VXFq61SZt6nQELdkvJZ5EyRm5EPHkwpUzdPRowY2/rjFuwCwcm7kaug8f5NWdlZuXUOvbeswc7Ufa1OkMyRKJnxS5EPFg6y/r6TXCmZQpUrF6/k98XbqyYVk3b/+Ji2dLQs4eo4/LEHq7DJF9eBInRS7EJ4iMjGTSvBHM8p1AmeJf4zNxJZ9lzWlY3sFje+k8oA1vwl7jO2Uttas1MCxLmA/5Mi7ER3r89BEdejdhlu8EfmzckbULfjasxLXWLF4xm9Zd65AhXUaCluyXEhf/IWfkQnyE85dDcfZowc3b1/EaOBuHZi6GZb16/YoB491ZE7SU2lXrM3OUH2lSpzUsT5gfKXIhPtDmnWvoM9KF1CnTsHr+TsqXqmhY1s3b1+nUryWnzh3Ho/MwejoPkn24+H+kyIWIo8jISCbOHYa33yTKlqzAggkryJ7FuMv9Hji6h84D2hAeHobftPXU+raeYVnCvMmXdiHi4NGThzj2aoS33yTaNunE6nk/GVbiWmsWLp9Fa/c6ZMqQmSD/A1Li4p3kjFyI9zh76RSdPFry150/mTBoDu2adjIs69XrV3iO7cK64GXU+a4h00csln24eK/3npErpXIrpXYppc4ppc4opXr+6+0eSimtlMps3JhCmMamn1bT0Kkqr9+8Ys2Cnw0t8Ru3/qCxczXWb1uOZ5eR+ExcJSUu4iQuZ+QRQF+t9XGlVBrgmFLqJ631WaVUbqAWcN3QKYVIYJGRkXjNHsIc/ymUK1mRBRNXkC3zZ4bl7TuyC7cBPxIZGYHftPXUrFLXsCxhed57Rq61vqW1Ph5z+xlwDvj7ybLTAE9AGzahEAns4eMHtOvRgDn+U3Bs3pnV838yrMS11sxfOp027vZkyZSVIP8DUuLig33QjlwplQ8oAxxWSjUEbmqtQ951PQmllCvgCpAnj3F/IVyI+HDmYgid+rXk9t2bTB4ynzaNnQzLevX6Jf3GuLF+2wrq1mjCtOELSZ0qjWF5wnLFuciVUqmBtUAvotctg4Ha7/s4rfUCYAFAuXLl5MxdJFobt6+kzyhX0qfNwFqfX/iq+NeGZV2/eZVO/Vpy9tIp+ncdRXen/oZdYEtYvjgVuVLKlugSD9Rar1NKlQDyA3+fjecCjiulvtZa3zZsWiEMEBERwfjZQ5gXMJWvS1dmvtdysmbOblje3sM/02VQW3RUFP7TN1Kjch3DskTS8N4iV9FNvQg4p7WeCqC1Pg1k/cf7XAPKaa3vGzSnEIZ4+PgBXQa1Zd9vv9ChRReG95mEna2dIVlaa+YHTmfszIEUzF+EhZNXkz93AUOyRNISlzPyyoADcFopdTLmvkFa662GTSVEAgi9cJJO/Vpy595fTB3mQ6uG7Q3LevnqBR6jO7Nxxyrqfd+UacMXkiplasPyRNLy3iLXWu8D3rm801rni6+BhEgI67ctx2O0G+nTZWSdzy7KFC9vWNb1m1fp6NGc85dDGdRtLF3be8g+XMQr+c1OkaREREQwZuZAfJbNoMJX3zJv/DKyZMpmWN7eQzvpMrgdaM3SmZv5ruJ7nx8gxAeTa62IJOPBo3v82L0ePstm0LGVOyvmbDOsxLXWzFkymbY96vNZlhwE+R+QEheGkTNykSScPn8CZ48W3H94h2kjFtKyvqNhWS9fvaDPKBc2/7SGBrWaM3WYDylTpDIsTwgpcmHx1gQtpf+4rmRMn4X1C3dTqmhZw7Ku3bhCJ48WXPj9LEN6jMfNoY/sw4XhpMiFxQqPCGf0jAEsWj6Lil9VZZ7XMjJnzPr+D/xIuw/uwH2wAwCBM7dQtUJNw7KE+CfZkQuLdP/hXdq412XR8lk4t+nO8jnBhpW41hpvv4m069GAz7LlYqv/QSlxkaDkjFxYnJCzx+jUryUPH99jxsjFNK/XzrCsFy+f03tkJ4J+XkfjH1oxacg82YeLBCdFLizK6i0B9B/XlcwZs7Fh0R5KFC5jWNbVPy/j3Lc5l66dZ2ivCXRu20v24cIkpMiFRQiPCGfUNE8Wr5xNpXLfMW98IJkyZDEs75f92+g2xBErK2sCZwVR9ZvvDcsS4n1kRy7M3r0Hd2jdtQ6LV87G5ceeLPfealiJa62ZudgLx16NyPVZXoIDDkqJC5OTM3Jh1k6eOUonz5Y8evyAWaP9aGr/o2FZz188o/cIZ7bu2kCTOq2ZNGQeKZKnNCxPiLiSIhdma+VmfwaOdydLpuxsXLSb4gbuw3+/fglnj+Zc+eMiw3tPwuXHHrIPF4mGFLkwO2HhYYyc2g+/1XOp8nUN5o5bSsb0xv3t7537ttJ9SHtsbGxZ5r2VKuWrG5YlxMeQHbkwK/ce3KFVlx/wWz0XN4c+BM7cYliJR0VFMX3hODr0bkKenPkJDjgoJS4SJTkjF2bjeOhvuHi24vGTh8we40/jOq0Ny3r2/Cm9RnRk2+5NNLX/kYmD55IieQrD8oT4FFLkwiws3+DLoAndyZYlB5t891KsYCnDsi5fu4CzR3Ou/nmZUR5T6djKXfbhIlGTIheJWlh4GMOn9MV/zXyqflOT2WMDyJg+k2F5O/ZuocfQDtja2rFi9jYqlatmWJYQ8UV25CLRunv/Ni3dauO/Zj5dHPoQMGOTYSUeFRXF1AWjcerTlPx5CrBt6SEpcWE25IxcJErHTh/G1bMVT549Zs64pTSq3dKwrGfPn9JjWAd27N1C83rt8Bo4W/bhwqxIkYtEJ3D9IgZP6EGObLnZ5LuXol+WNCzr8rXzdOzbnGs3rjDaYxpOrbrKPlyYHSlykWi8CXvDsMl9WLrOh2oVajF7bAAZ0mU0LG/77k30GO5EMrvkrJyznYplqxqWJYSRZEcuEoXb9/6ihVstlq7zoVuHfgTM2GRYiUdFRTF5/kg6ejSnQN5CBAcckhIXZk3OyIXJHQk5iKtnK56/fMY8r2U0qNncsKynz5/QfWh7dv66lZYNHBk/wJvkyZIblidEQpAiFyYVsNaHoZN6kTN7HpbP3krhAsUNy7r4+1mcPVpw/eZVxvafSfvmnWUfLiyCFLkwiTdhbxg6qReB6xdRvdIPeI/xJ33aDIblbdu9kR7DnEiRPCWr5u3gmzJVDMsSIqHJjlwkuFt3b9LM9XsC1y+iu1N/lkzbYFiJR0VFMXHucJw9WlAwfxGCAw5JiQuLI2fkIkEdOXkA1/6tef7yGQsmrKDe900Ny3ry7DHdhrTnl/3BtG7YgbH9Z8o+XFgkKXKRILTW+K9dwLBJvcmVIx8r5gRT6ItihuVduHKGjh4tuHnrD8YP8MahmYvsw4XFkiIXhnv95jWDJ/RgxSY/alS2x3vMEtKlSW9Y3tZf1tNrhDMpU6Ri9byfKF+6kmFZQiQGsiMXhvrrzg2au37Pik1+9HQeyJJp6w0r8cjISLxmD8XFsxWFvihGcMAhKXGRJMgZuTDM4RP7cO3fmlevX7Jw0irsqzc2LOvx00d0H9KeXw5so20TZ0b3m04yu2SG5QmRmEiRi3intWbJ6nkMn9KXPDnzs3reDgp+XtSwvPOXQ3H2aMHN29eZMGgO7Zp2MixLiMRIilzEq9dvXjPIqzsrNy+h5rd1mTV6CWlTpzMsb/PONfQZ6ULqlGlYPX8n5UtVNCxLiMRKilzEm5u3/8TFsyUhZ4/R22UwfVyGYmVlzI9hIiMjmTh3GN5+kyhbsgILJqwge5YchmQJkdhJkYt4cfDYXjoPaMObsNcsnryGH75raFjWoycP6TbEkd0Hd9CuqQuj+03DztbOsDwhEjspcvFJtNYsXjmbkdP6kS/XFyyesoYC+Qoblnf20ik6ebTk1t0bTBw8l7ZNnA3LEsJcSJGLj/bq9SsGjHdnTdBSaletz4xRvobuwzf9tJo+I11IlyY9axb8TNkS3xiWJYQ5kSIXH+Xm7es4e7Tg9PkTeHQeRk/nQYbuw71mD2GO/xTKl6rEggkryJo5uyFZQpij9xa5Uio34A9kB6KABVrrGUqp0UCjmPvuAh201n8ZOaxIHA4c3UPnAW0IDw/Dd+o6aletb1jWw8cPcB/swN7DO3Fs3pmRfafIPlyIf4nLKVQE0FdrXQSoALgrpYoCk7TWJbXWpYEtwDDjxhSJgdaahctn0dq9DhnTZ2LLkv2GlviZiyHUa1+JQ8f3MnnIfMYPmCUlLkQs3ntGrrW+BdyKuf1MKXUOyKm1PvuPd0sFaGNGFInBq9cv8RzblXXBy6jzXUOmj1hMmtRpDcvbuH0lfUa5kj5dRtb57KJM8fKGZQlh7j5oR66UygeUAQ7HvD4WcASeANXf8jGugCtAnjx5PmFUYSo3bv2Bs0cLzlwMwcNtOD07DjRsHx4REcH42UOYFzCVr0tXZr7XctmHC/EeSuu4nUgrpVIDe4CxWut1/3rbQCC51nr4ux6jXLly+ujRox87qzCBfUd24TbgRyIiwpk1Zgm1vq1nWNbDxw/oMqgt+377BaeWXRnWe6KsUoQAlFLHtNbl3vb2OJ1WKaVsgbVA4L9LPMYyoNnHjSgSI60185dOp427PVkyZSXI/4ChJR564SR1HSty5OR+pg5fyBjP6VLiQsRRXJ61ooBFwDmt9dR/3P+l1vpSzKsNgfPGjCgS2qvXLylQJT0A9tUbMX3EYlKnSmNY3vpty/EY7UaG9JlY57OL0sXeeuIhhIhFXHbklQEH4LRS6mTMfYMAZ6VUIaKffvgH4GbIhCLBKfXfb9QWTFhp6D58zMyB+CybQYWvvmW+13IyZ8xqSJYQliwuz1rZB8T2N7K2xv84IjFIniw5yZMlx6FZZ8NK/MGje3QZ1I79R3bRsZU7w3pPxNbG1pAsISyd/GaniJWNgaV6+vwJnD1acP/hHaaNWEjL+o6GZQmRFMifehMJau3WQBo7V0NrzYZFe6TEhYgHUuQiQYRHhDN8igc9hjlRpvg3bFt6iJJFvjL1WEJYBFmtCMPdf3gXt4FtOXhsD53a9GBIz/GyDxciHkmRC0OdOnccZ48WPHx8j5mjfGlWt62pRxLC4shqRRhm9ZYAGjtXw8rKig2L9kiJC2EQOSMX8S48IpxR0zxZvHI2lctXZ974QDKmz2zqsYSwWFLk4q3ieh2ef7r34A5uA3/k0PFfcW3bi8Hdx2FjI/+ZCWEk+QwT8ebkmaN08mzJo8cP8B6zhCZ12ph6JCGSBNmRi1ipWH+Z9+1WbvanqUt1rK2s2bh4j5S4EAlIzsjFJwkLD2Pk1H74rZ5Lla9rMHfcUtmHC5HApMjFR7v34A6u/Vvz28n9dHHowwD3MbIPF8IE5LNOfJTjob/h4tmKx08eMmdsAI1+aGXqkYRIsmRHLj7Y8g2+NHOpgZ2tHZt890qJC2FickYu4iwsPIzhU/riv2Y+Vb+pyeyxAWRMn8nUYwmR5EmRizi5e/82rv1bcyTkAF0d+zLAfQzW1tamHksIgRS5iINjpw/j6tmKJ88eM3d8IA1rtTD1SEKIf5AduXinwPWLaOZSg2R2ydns96uUuBCJkJyRi7dauzWQR08e8F3F2niP8SdDuoymHkkIEQs5Ixdv9ejJA7o5eeI/faOUuBCJmJyRi1j16DiAz/N+SZ3vGpl6FCHEe0iRi1h1be9h6hGEEHEkqxUhhDBzUuRCCGHmpMiFEMLMSZELIYSZkyIXQggzJ0UuhBBmTopcCCHMnBS5EEKYOaW1Trgwpe4BfyRY4P/KDNw3UXZCk2O1PEnlOEGONTZ5tdZZ3vbGBC1yU1JKHdValzP1HAlBjtXyJJXjBDnWjyGrFSGEMHNS5EIIYeaSUpEvMPUACUiO1fIkleMEOdYPlmR25EIIYamS0hm5EEJYJClyIYQwcxZd5Eqp0kqpQ0qpk0qpo0qpr2Pu/zrmvpNKqRClVBNTz/qp3nGstZRSx5RSp2P+t4apZ/1U7zjWTEqpXUqp50opb1PPGR/edqwxbxuolLqslLqglPrBlHPGB6XUyn98Xl5TSp2Mud9OKeUb899wiFLqO5MOGg/ecay2SqklMcd6Tik1ME4PqLW22BdgB2Afc7susDvmdkrAJub2Z8Ddv18315d3HGsZIEfM7eLATVPPauCxpgKqAG6At6nnNPhYiwIhQDIgP3AFsDb1vPF43FOAYTG33QHfmNtZgWOAlalnNOhYfwRWxNxOCVwD8r3vMSz6jBzQQNqY2+mAvwC01i+11hEx9yePeT9z97ZjPaG1/ivm/jNAcqVUMhPMF5/edqwvtNb7gNemGswAsR4r0IjoT/g3WuurwGXg61g+3uwopRTQElgec1dR4GcArfVd4DFgEb8wFMuxaiCVUsoGSAGEAU/f9ziW/jc7ewHblVKTiV4jVfr7DUqpb4DFQF7A4R/Fbq568ZZj/YdmwAmt9ZuEHMwAvXj/sVqKXsR+rDmBQ/94vxsx91mCb4E7WutLMa+HAI2UUiuA3EDZmP/9zUTzxad/H+saor9I3yL6jLy31vrh+x7E7ItcKbUTyB7LmwYD3xP9f8RapVRLYBFQE0BrfRgoppQqAixRSgVrrRP1mdzHHmvMxxYDJgC1E2LWT/Upx2puPvJYVSzvn+i/s3zXsWqtN8bcbsN/z1Ah+oSrCHCU6Gs1HQAS/YnXRx7r10AkkAPIAPyqlNqptf79nWGm3g8ZvHt6wn+fK6+Ap295v11AOVPPa9SxArmAi0BlU8+ZEP+uQAcsZ0ce67ECA4GB/3i/7UBFU88bD8drA9wBcr3jfQ4ARU09qxHHCswmekPw9+uLgZbveyxL35H/BVSLuV0DuASglMofs4NCKZUXKET0DxXM2duONT0QRPQn/X7TjBbvYj1WC/W2Y90EtFZKJVNK5Qe+xDJWDTWB81rrG3/foZRKqZRKFXO7FhChtT5rqgHj0f87VuA6UENFSwVUAM6/74HMfrXyHi7AjJjSfg24xtxfBRiglAoHooCuWmtzv2zm2461G1AAGKqUGhpzX20d/UMjc/W2Y0UpdY3oHw7aKaUaE32s5vxJH+uxaq3PKKVWAWeJXjO4a60jTTdmvGnN/64aIPqZKtuVUlHATcAhwacyRmzHOhvwBUKJ/g7MV2t96n0PJL+iL4QQZs7SVytCCGHxpMiFEMLMSZELIYSZkyIXQggzJ0UuhBBmTopcCCHMnBS5EEKYuf8DH0r3cm6oeRwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 4635 with population 3542673.774805256\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.50519 0.4301 82659.6116 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.1435 0.12217 64181.4854 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 4635 with population 3521441.8131513167\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.45964 0.39132 78972.8064 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.13057 0.11116 46636.329 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 4635 with population 3504395.911409759\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.4182 0.35604 73782.5322 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.11879 0.10114 34780.7014 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 4635 with population 3492362.768906854\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.3805 0.32394 70146.0367 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.10808 0.09202 26384.0544 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 4635 with population 3479442.438750317\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.34619 0.29473 61733.7802 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.09834 0.08372 21875.9807 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 4635 with population 3469564.974892506\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.31498 0.26816 55001.4142 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.08947 0.07617 18730.8829 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZslkWL3i5H27erjgXKUFYyFYqlqliWSwraLFPAkedI/7tN/OwJrASTk7paNH1ABs2/2PvlJQC4Mz5k7h2qceWbd8zwccPnz5jSZfOmnIWExPD8En98JnQl3dqN2bVvB8o+GK8C+6laFrsk+iF3BlZ5leBFu/lZ/zsU3h/dpyoe2l/MZTSJbISFlyJcqWy0XXgEfwWnHGINzqVcu0+sB2XzrU5d+EMX84Io0PzLpbFunX7Ju79WzJ/6Uw8O3gRMHEF2bJmtyyelbTYP4FMTumYPqokA7oVZUXYRdr3OsiVa/ftnZbl8ud1YrlfeZq8k48x008y8PM/uR+d9t/oVMoT9t1KWnd7hyyZs7I26Gfq1GhgWayzf5/G9aO3+fHXbxg7eCYjvCeQPn16y+JZTYv9ExIRvLsWY+aYUuzef5Mm7vv48+Rde6dluSyZ0zPr81L07VKExasv0KH3Ia7d0JE66vkwxjAjaDzdBrejQukqhAWHU7J4Wcvi7T20Cxe3Wpw5d5KF09bSqZWnZbGel0SLvYgUFZHNInJYRA6KSF/b9pEiclZE9th+4h3UKiInRGS/bZ+dyd0Ae2nugHPEp0snDOz+MlNHlmT77zdo6r6PE2fS/hudsq979+/Rf5Qn42Z9iuu/P2CZ3zfkzZPfsngbNq+mRdcGODllYk3gT9Sr2dCyWM/V41Y2sfXNFgRetz3OQdwSg+WAkcCAJBx/AsiX2H4P/1i1UpUVTpy+a+q12mVefmOrWbr2b3un89z8uuuaKdfgN1Op4TZz63a0vdNRadSVa/+Ylp7vmEJVM5pJcz4zsbGxlsWKjY01s0MmmcLVnMz7brXMxcup6/8zz7pSlTHmvDFmt+3xTeAwkPpuRVvEUeeIr/l6Lj7t48zlK/e5+I/OmKmS31+nj9PUvQ679v3KjNHB9O823LIvL92Pvs/Az7szZvoQXN5pyYo5m8ift4AlsezlifrsRcQZqAJss23qJSL7RCRQRPIkcJgBvhWRXSKSYMeXiHiKyE4R2Xnp0qUnScvuHHWO+IwZU/63BlXqtO33cFw61+bq9Sss8/uGFu+1tyzW9ZvX+LBPExavDqSPx2Bmf/4lWTJnsSyevSS52ItIdmAl4GWMuQH4ASWAysB5YHICh9YyxrwOvAf0FJG68e1kjPE3xlQzxlTLn9+6/jirPJgj/lOdI16pZ/LV11/yQfd/kzd3PsJCwqlRuZZlsU6eiaCpex227d7ClJEBDOoxyrLx+vaWpFaJSEbiCv0iY8wqAGPMBWNMjDEmFpgH1IjvWGPMOdvvi0BoQvulBSLCxzpHvFJPxRjDxDkj6TvCg+qVa7E2aAvORUpYFm/H3l9x6Vyby1cusmTWBtq4dLIsVkqQlNE4AswHDhtjfB/a/vAEFM2BA/Ecm01Ecjx4DDSKb7+0RueIV+rJREZF0tOnI1MDvqBdM3cWzQgjd86Eeoaf3eqNS/mgeyNy5czN2qAtvFk13g6HNCUpV/a1gI5Ag0eGWU6wDancB9QHvAFEpJCIrLcdWwAIF5G9wHbga2PMxuRvRsqjc8QrlTSXr1ykTfdGrPl2OT69v2DisDk4ZXSyJJYxhinzxtBzWCeqVKjB2sAtlHi5lCWxUppEl28xxoQD8d2JWx/PtgfdNo1tjyMA6+YaTeEezBHf0+coPuMjiDh1lxFexUmfXm9sKgVwLOIQnbxcufTPBfzHL+X9f7WwLFbUvSgGjO7Gqg2Lae3SkfFDZ5PJKZNl8VKatHknIgXROeKVit/Pv31HU/e6REVFstL/e0sL/ZVrl2nb411WbVjMwO6fMWVEgEMVetBi/1zoHPFK/a8vVwXwYd8mFClYjLCQcCqXr2ZZrOMnjtCkcx32HtqJ39hF9O0yJFUsNpLctNg/RzpHvHJ0MTExjJo6iEFf9KDeGw0JDfiRwi8Vsyxe+I7NNHWvy83bN1gx9zuaNmxtWayUTov9c6ZzxCtHdefubboObMPcL6fg3qYHQb6ryJE9p2Xxlq4JpkOv9ymQvyBhweFUrfiGZbFSAy32dqBzxCtH8/elc7To2oBNW75m9IApjBk4lQwZEh0f8lRiY2P5YsZQ+o/2pFb1+qwJ/JlihYtbEis10WJvJ2lpjnh9n1KPc+DoHt53q0XEqT8I8l2FR9uelsW6G3mHboPbMStkEh1berJg6hpyZs9lWbzUxJq3VpUkD+aIL14sM9Pmn+Hk2Uj8x5chd87U8dfigPe41BPatOVregz9kFw58xAasJnypawbiX3h8nk8+rVk7+FdjPCeSNf2fRzyRmxC9MreznSOeJUWGWMIWDIDj/4tedW5NF+HbLW00B8+vh8Xt9ocjThE4KSv8OzQVwv9I7TYpxCtXV5k6ezy/HPtPi5u+9i+54a9U1LqqURHR+MzoS8jJvfn3/WasNL/ewrkK5j4gU/ph60bce3yNrGxMYQGbKZRvSaWxUrNtNinIDVfz8W6oErkyZWBD7ofYNWGi/ZOSakncvPWDdy8XQlZMYcenfrjP34ZWbNksyxe8HI/3LxdcS5SgrCQrVQsU8WyWKmdFvsU5pViWVgbVImqlXLQ+9M/mDz3lI7UUanCmfMnce1Sj/DtPzBx2Bx8+oy1bLrgmJgYhk/qh8+EvrxTuzGr5v1AwRd1TaXH0WKfAuXJlZHFM8vzQZMX8Z13ml7DjhEZlTpH6ijHsPvAdt53q8W5C2f4ckYY7V09LIt16/ZN3Pu3ZP7SmXh28CJg4gqyZc1uWby0InUM+3BAThnTMXn4q7zychbGzjzJmfNRBE4uS948Ge2dmlL/Y913X+E1woMC+Qrx1dxNlCxe1rJYZ/8+jZu3K8ciDjF28Ew6tUpw8Tv1CL2yT8FEhF6dizB3XGkOHL2NS+e9HIu4Y++0lALiRtzMCBrPx4PbU6F0FdYFb7G00O89tAsXt1qcOXeShdPWaqF/QlrsUwGXd/Lx1dwK3I2MpZnHPn7eds3eKSkHd+/+PfqN6sq4WZ/S/N22LPP7hrx5rFtOdMPm1bTo2gAnp0ysCfyJejUbWhYrrdJin0pUqZCDsOBKFH4pEx/2Ocii0L/tnZJyUFevX6F9z8YsX7eAfl2HMWN0CJkzZbYkljEGvwWT6TrwA8qWrEhYcDilS5S3JFZal5RlCYuKyGYROSwiB0Wkr237SBE5+8jqVfEd/66IHBWR4yIyOLkb4EiKFMxMaEBF6r2Rh4Gf/8noaX8RE6MjddTzE3HqD5q612HX/t+YMTqY/t2GW/blpfvR9xn4eXfGTB+CyzstWTFnE/nzFrAkliNIyg3aaKC/MWa3bT3ZXSKyyfbaFGPMpIQOFJH0wCygIXAG2CEia40xh541cUeVI3sGgnzLMtL3L+YsPMdfpyKZOaYUWbOkt3dqKo3b9ns4HgNaIQjL/L6hRuValsW6fvManoPaEr79B/p4DOaTj0daNozTUST6p2eMOW+M2W17fBM4DCR1QGsN4LgxJsIYcw9YCjR72mRVnAwZhDEDX2H0gOJs2nKFFl33c/6iLoairPPV11/yQfd/kzd3PsJCwi0t9CfPRNDUvQ7bdm9hysgABvUYpYU+GTzRn6CIOANVgG22Tb1EZJ+IBIpIfEvBFwZOP/T8DAm8UYiIp4jsFJGdly5depK0HJZH20IE+ZYl4tRdXDrv48CRW881/oOP7/qdr7QrNjaWCX4j6DvCg+qVa7E2aAvORUpYFm/H3l9x6Vyby1cusmTWBtq4dLIslqNJcrEXkezASsDLGHMD8ANKAJWB88Dk+A6LZ1u8pcEY42+MqWaMqZY/v3V39dOad2q/QGhAJUSgedf9fPvzFXunpNKIyKhIevp0ZNr8sbRr5s6iGWHkzhnfNV3yWL1xKR90b0SunLlZG7SFN6vWtSyWI0pSsReRjMQV+kXGmFUAxpgLxpgYY0wsMI+4LptHnQGKPvS8CHDu2VJWjypfKhtfh7xGyeJZ8eh/mHmLz+kUC+qZXL5ykTbdG7F20wp8en/BxGFzcMroZEksYwxT5o2h57BOVKlQg7WBWyjxcilLYjmypIzGEWA+cNgY4/vQ9oensWsOHIjn8B1ASREpLiJOQFtg7bOlrOJTIJ8TK/0r8N7beRnp+xdDx0cQHa0FXz25YxGHcOlcm4NH9+I/fik93AZYNuIm6l4UfYa7M2nuKFq7dGTJrA28kDuvJbEcXVJG49QCOgL7RWSPbdtQoJ2IVCauW+YE0A1ARAoBAcaYxsaYaBHpBXwDpAcCjTEHk7UF6j+yZE7P3PGlGTfrJLNCznLyTCRzxpUmZ3adFUMlzc+/fYfnoLZkyZyVlf7fU7l8NctiXbl2mS4DWrN9z1YG9RhFb/dBOge9hRKtAsaYcOLve1+fwP7ngMYPPV+f0L4q+aVLJwzt7UzxolkYPPZPmnnsY8HUchQtZM2XXlTa8eWqAIaO702p4mUJmbqawi8VsyzW8RNH6NTXlb8vncVv7CKaNmxtWSwVR8czpVHtXAuwaGY5Lly6h0vnfezaf9PeKakUKiYmhlFTBzHoix7Ue6MhoQE/Wlrow3dspql7XW7fvcWKud9poX9OtNinYbWr52ZtUCWyZ01P6277WfOtDmlV/+vO3dt0HdiGuV9Owb1ND4J8V5Eje07L4i1dE0yHXu9TIH9BwoLDqVrxDctiqf+lxT6Ne9U5K+uCK/FauRz0GHqMafNP60gdBcD5i2dp0bUBm7Z8zegBUxgzcCoZMlhzfyc2NpYvZgyl/2hPalWvz5rAnylayNmSWCp+WuwdwAu5M7J0dnlavJefCX6n8Br5B1H3dDEUR3bg6B5cOtcm4tQfBPmuwqNtT8ti3Y28Q7fB7ZgVMomOLT1ZMHUNObPnsiyeip8O03AQmZzSMX1USV55OQuT5pzi9LkoAiaW4YXcuhiKo/n25zB6+nQkV848hAZspnyp1yyLdeHyeTz6tWTv4V2M8J5I1/Z9dMSNneiVvQMREbw/KsqsMaXYc/AmTdz3cfyELobiKIwxzFs8HY/+LXnVuTRfh2y1tNAfPr4fF7faHI04ROCkr/Ds0FcLvR1psXdAru/mZ5lfBW7eiqGZx35+2Xnd3ikpi0VHR+MzoS8jfQfw7ttNWen/PQXyFUz8wKf0w9aNuHZ5m9jYGEIDNtOoXhPLYqmk0WLvoKq/lpOw4Erkz5uRdj0PsmzthSc+x4NrNL3hm7LduHUdN29XQlbMoUen/viPX0bWLNksixe83A83b1eci5QgLGQrFctUsSyWSjot9g6sWOHMrAmsxFvVctFv1HHGzjpJbKwW7rTk9LkTuHrUI3z7D0wcNgefPmMtmy44JiaG4ZP64TOhL+/UbsyqeT9Q8MWkzoaurKbF3sHlypGBBdPK8mGLAswMOsPHQ45yNzLG3mmpZLD7wHZcOtfm/MWzfDkjjPauHpbFunX7Ju79WzJ/6Uw8O3gRMHEF2bJmtyyeenI6GkeRMUM6xg0pwSvFsjB62gnOno8iyLcsL+azZpZDZb11332F1wgPCuQrxFdzN1GyeFnLYp39+zRu3q4cizjE2MEz6dTK07JY6unplb0C4kbqdPuwMPMnluFoxB1cOu/j8PHb9k5LPSFjDDOCxvPx4PZUKF2FdcFbLC30ew/twsWtFmfOnWThtLVa6FMwLfbqf/z77byEBlQkJsbg2mU/P2y9au+UVBLdu3+PfqO6Mm7WpzR/ty3L/L4hbx7rFgLasHk1Lbo2wMkpE2sCf6JezYaWxVLPTou9+n8qlslOWEglnItkxs37EMHLz9s7JZWIq9ev0L5nY5avW0C/rsOYMTqEzJmsmenUGIPfgsl0HfgB5UpVIiw4nNIlylsSSyUfLfYqXgVfzMSqeRV5p/YL+EyIYPikCGJidKROShRx6g+auNdm1/7fmDE6mP7dhlv25aX70fcZ+Hl3xkwfgss7LVnu9y358xawJJZKXlrsVYKyZU1PwMQyeHYoxPyl53Hvf5hbt6PtnZZ6yG+7t9DEvQ7Xb1xjmd83tHivvWWxrt24yod9mrB4dSB9uwxh9udfkiVzFsviqeSVlGUJi4rIZhE5LCIHRaTvI68PEBEjIvkSOP6EiOwXkT0isjO5ElfPR/r0wgjv4owd/Ao//noV14/2c/bvKHunpYAVYQtp2+Nd8ubOx7rgLdSoXMuyWCfPRNDMoy7bdm9hysgABnb/zLLx+soaSfnbigb6G2PKAjWBniJSDuLeCICGwKlEzlHfGFPZGGPdGmfKUp1aFWThtHKcOReFi9te9hzUxVDsJTY2lgl+I/Aa2YUaVWqzNmgLzkVKWBZvx55fcOlcm8tXL7Fk1gbauHSyLJayTqLF3hhz3hiz2/b4JnAYePC1uCnAQOLWoVVpXL2aeVgTWIlMmdLR0vMAm7ZcsXdKDicyKpKePh2ZNn8s7Zq5s2hGGLlz5rEsXujGJbTp3ohcOXOzLmgLb1ata1ksZa0n+hwmIs5AFWCbiDQFzhpj9iZymAG+FZFdIqKDcFO50iWyEhZciXKlsrH6m8v2TsehXL5ykTbdG7F20wp8en/BxGFzyJjBmimqjTH4+o+m1zA3Xq/4BmsDt/BKsZKWxFLPR5KLvYhkB1YCXsR17fgAw5NwaC1jzOvAe8R1AcV7aSAiniKyU0R2Xrqky+elZPlecGK5X3maNoy7TZM9W3o7Z5T2Hf3zIC6da3Pw6F7mTVhGD7cBlo24iboXRZ/hnZnsP5rWLh1ZMmsDL+TOa0ks9fxIUmYsFJGMQBjwjTHGV0QqAt8DDyZDLwKcA2oYY/5+zHlGAreMMZMeF69atWpm5069l5vSGWO49M99nVbBYj//9h2eg9qSJXNWgnxXUbm8dbe+rly7TJcBrdm+ZyuDeoyit/sgnYM+lRCRXY+7L5ro3DgS9zc9HzhsjPEFMMbsB158aJ8TQDVjzOVHjs0GpDPG3LQ9bgSMepqGqJRHRLTQW2zhynn4TOhDqeJlCZm6msIvFbMs1vETR+jU15W/L53Fb+wimjZsbVks9fwlpRunFtARaGAbPrlHRBontLOIFBKR9banBYBwEdkLbAe+NsZsfOaslUrjYmJi+GzKQAaP7Um9NxoSGvCjpYU+fMdmmrrX5fbdW6yY+50W+jQo0St7Y0w4/12nIqF9nB96fA5obHscAVi37plSadCdu7fpNawT3/y0Dvc2PRjZbxIZMlg3Qe3SNcEM+qIHr7xckgVT11C0kLNlsZT96BTHSqUg5y+epbN3cw79sY/RA6bg0banZbFiY2MZN2sYs0ImUa9mQ+aMW0zO7Lksi6fsS4u9UinEgSO/49avBTdvXSfIdxXv1E6wt/SZ3Y28Q5/h7qz/IZSOLT0Z88lUSz89KPvTv12lUoBvfw6jp09HcuXMQ2jAZsqXsq7388Ll83j0a8new7sY4T2Rru376IgbB6DFXik7MsYQsGQGn035hIplqhA8JZQC+QpaFu/w8f106uvK1ev/EDjpKxrVa2JZLJWyaLFXyk6io6P5dJI3C76ay3v1mzF9VDBZs2SzLN4PWzfSfWgHsmfNQWjAZiqWqWJZLJXy6LR1StnBjVvXcfN2ZcFXc+nRqT/+45dZWuiDl/vh5u2Kc5EShIVs1ULvgPTKXqnn7PS5E7h5ufLnyWNMHDaH9q4elsWKG6//CfOXzqRRXRdmjllAtqzZLYunUi4t9ko9R7sPbMe9Xwvu3Yviyxlh1KnRwLJYt27fpIdPR74PX49nBy+G9RlL+vQ6j5Gj0mKv1HOydtMKvEd2oUC+Qqz0/45XnctYFuvs36dx83blWMQhxg6eSadWOuGso9Nir5TFjDHMCBrP+NnDqf7aW8yftIK8efJbFm/voV109m7O3cg7LJy2lno1G1oWS6UeeoNWKQvdu38P788+Yvzs4TR/ty1LZ2+0tNBv2LyaFl0b4OSUiTWBP2mhV/+hxV4pi1y9foX2PRuzImwh/T0/ZcboEDJnymxJLGMMfgsm03XgB5QrVYmw4HBKlyhvSSyVOmk3jlIWiDj1B528mnH2/ClmjA6mxXvtLYt1P/o+Q8f1ZvHqQJo0bMWUEfPJkjmLZfFU6qTFXqlk9tvuLXT5pDXpJB3L/L6hRuValsW6duMq3Qa3I3z7D/TtMoQB3UaQLp1+YFf/nxZ7pZLRirCFfDLmY4oVLs6CaWtwLlLCslgnz0TQyasZJ89EMGVkAG1cOlkWS6V+WuyVSgaxsbFMmvsZ0+aPpVb1+viPX0runHksi7djzy94DGhFrIllyawNvFk13qWdlfqPRD/viUhREdksIodF5KCI9H3k9QEiYkQkXwLHvysiR0XkuIgMTq7ElUop7kbepadPR6bNH0u7Zu4smhFmaaEP3biENt0bkStnbtYFbdFCr5IkKVf20UB/Y8xuEckB7BKRTcaYQyJSFGgInIrvQBFJD8yy7XMG2CEia40xh5Ipf6Xs6vKVi7j3b8nu/dvw6f0F3Tv1t2y6YGMMU+aNYbL/aGq+Xod5E5bzQu68lsRSaU9SliU8D5y3Pb4pIoeBwsAhYAowEFiTwOE1gOO25QkRkaVAM9uxSqVqR/88iJt3cy79c4F5E5bRuEFzy2JF3YtiwGhPVm1YQmuXjkzw8cMpoy72rpLuifrsRcQZqAJsE5GmwFljzN7HXMkUBk4/9PwM8MZT5KlUivLTb5voNqgdWTJnZaX/91QuX82yWFeuXabLgNZs37OVQT1G0dt9kC42op5Ykou9iGQHVgJexHXt+ACNEjssnm0mgfN7Ap4AxYoVS2paSj13C1fOw2dCH0oVL0vI1NUUfsm6f6/HTxyhU19XLlw+h9/YRTRt2NqyWCptS9KAXBHJSFyhX2SMWQWUAIoDe0XkBFAE2C0iLz1y6Bmg6EPPiwDn4othjPE3xlQzxlTLn9+6r5Mr9bTipgseyOCxPan3RkNWz//J0kIfvmMzTd3rcvvuLZbP2aSFXj2TpIzGEWA+cNgY4wtgjNlvjHnRGONsjHEmrqi/boz5+5HDdwAlRaS4iDgBbYG1ydoCpZ6D23du8dEnrfFfNBWPD3oS5LuK7NlyWBZv6ZpgOvR6n5fyFyIsOJyqFbX3Uz2bpFzZ1wI6Ag1EZI/tJ8Fl70WkkIisBzDGRAO9gG+Aw8ByY8zBZMhbqefm/MWztOjagO/C1zN6wBRGfzKFDBms+YpKbGwsX8wYSv/RntSqXp/VgT9RtJCzJbGUY0nKaJxw4u97f3gf54cenwMaP/R8PbD+6VNUyn4OHPkdN+/m3Lx9g2DfUP5V+z3LYt2NvEOf4e6s/yGUji09GfPJVMveVJTj0X9JSiXg25/D6OnTkdw5X2D1/B8pV7KSZbEuXD6PR7+W7D28i5H9JvFRu9464kYlKy32Sj3CGMO8xdMZNXUglcq+TpDvKgrkK2hZvEN/7MPNqznXblwhcNJXNKrXxLJYynFpsVfqIdHR0Xw6yZsFX82lcX1Xpo8OJkvmrJbF+z58A92HdiBHtpyEzvuBCmWqWBZLOTadC1Upmxu3rtPJqxkLvppLj079mTt+qaWFPmjZbDr3a07xoq8SFrJVC72ylF7ZKwWcPncCNy9X/jx5jInD5tDe1cOyWDExMYz0HUDgslk0quvCzDELyJY1u2XxlAIt9kqx+8B23Pu14N69KL6cEUadGg0si3Xr9k16+HTk+/D1eHbwYlifsaRPn96yeEo9oMVeObS1m1bgPbILBfIVYqX/d7zqXMayWGf/Po2btyvHIg4xdvBMOrXytCyWUo/SYq8ckjGGGUHjGT97ONVfe4v5k1aQN49103TsPbSLzt7NuRt5h4XT1lKvZkPLYikVH71BqxzOvfv38P7sI8bPHk7zd9uydPZGSwv9hs2radG1AU5OmVgT+JMWemUXWuyVQ7ly7R/a92zMirCF9Pf8lBmjQ8icKbMlsYwx+C2YTNeBH1CuVCXCgsMpXaK8JbGUSox24yiHEXHqDzp5NePs+VPMGB1Mi/faWxbrfvR9ho7rzeLVgTRp2IopI+aTJXMWy+IplRgt9soh/LrrZz4a2IZ0ko5lft9Qo3Ity2Jdu3GVboPbEb79B/p2GcKAbiNIl04/RCv70mKv0rwVYQv5ZMzHvFzkFUKmrsa5SAnLYp08E0Enr2acPBPB1JHzae3S0bJYSj0JLfYqzYqNjWXinJFMDxxHrer18R+/lNw581gWb8eeX/AY0IpYE8vS2Rup+Xody2Ip9aT0s6VKk+5G3qWnT0emB46jXTN3Fs0Is7TQh25cQpvujciVMzfrgrZooVcpjl7ZqzTn0j8X8BjQit37tzGsz1g+7tjPsumCjTFMmTeGyf6jefP1usybuJw8uV6wJJZSz0KLvUpTjv55EDfv5lz65wLzJiyjcYPmlsWKuhfFgNGerNqwhNYuHZng44dTRifL4in1LBIt9iJSFFgAvATEAv7GmGkiMhpoZtt2EehsW6Xq0eNPADeBGCDaGFMt+dJX6r9++m0T3Qa1I0vmrKz0/57K5a37p3bl2mW6DGjN9j1bGdRjFL3dB+liIypFS0qffTTQ3xhTFqgJ9BSRcsBEY0wlY0xlIAwY/phz1DfGVNZCr6yy4Ct/OvZtSpGCxQgLCbe00B8/cQQXt9rsO7wLv7GL6OMxWAu9SvGSsgbteeC87fFNETkMFDbGHHpot2yAsSZFpRIWExPD6GmDmbd4Gg3eehe/sYvIni2HZfHCd2zGc+AHZMzoxPI5m6ha8Q3LYimVnJ5oNI6IOANVgG2255+LyGmgAwlf2RvgWxHZJSIJTvMnIp4islNEdl66dOlJ0lIO6vadW3z0SWvmLZ6Gxwc9CfJdZWmhX7I6iA693uel/IUICw7XQq9SF2NMkn6A7MAuoEU8rw0BPkvguEK23y8Ce4G6icWqWrWqUepxzl04Yxq1r26KVM9k5i+ZaWmsmJgY8/n0IaZQ1YymXc/G5vrNa5bGU+ppADvNY+pqkq7sRSQjsBJYZIxZFc8ui4GWCbyZnLP9vgiEAjWS+kakVHwOHPkdF7da/HX6OMG+oXi07WlZrLuRd+g2qC2zQibRsaUnC6auIWf2XJbFU8oqiRZ7ibvzNB84bIzxfWh7yYd2awociefYbCKS48FjoBFw4FmTVo7r25/W4fpRfdKlS8/q+T/yr9rvWRbrwuXztPT8Fxt+XMPIfpMYO3gGGTLoaGWVOiXlX24toCOwX0T22LYNBbqISGnihl6eBD4GEJFCQIAxpjFQAAi1jVTIACw2xmxM1hYoh2CMYd7i6YyaOpBKZV8nyHcVBfIVtCzeoT/24ebVnGs3rhA46Ssa1WtiWSylnoekjMYJB+IbV7Y+gf3PAY1tjyOA154lQaWio6MZNtGLhSv9aVzflemjg8mSOatl8b4P30D3oR3IkS0nofN+oEKZKpbFUup50blxVIp249Z1Onk1Y+FKf3p06s/c8UstLfRBy2bTuV9zihd9lbCQrVroVZqhHZAqxTp97gRuXq78efIYk4bNpZ2ru2WxYmJiGOk7gMBls2hU14WZYxaQLWt2y+Ip9bxpsVcp0q792/Do35L79++xaObX1K5e37JYt27fpIdPR74PX49nBy+G9RlL+vTpLYunlD1osVcpztpNK/Ae2YUC+QqxwH81rzqXsSzW2b9P4+btyrGIQ4wbMouOLbtaFkspe9Jir1IMYwwzgsYzfvZwqr/2FoGTv+KF3Pksi7f30C46ezfnbuQdFk5bS72aDS2LpZS96Q1alSJE3YvC+7OPGD97OM3fbcvS2RstLfQbNq+mRdcGZMqUmTWBP2mhV2meFntld1eu/UP7Xo1ZEbaQ/p6fMmN0CJkzZbYkljEGvwWT6TrwA8qVqsS6oC2ULlHeklhKpSTajaPsKuLUH3TyasbZ86eYMTqYFu+1tyzW/ej7DB3Xm8WrA2nasDW+IwLIkjmLZfGUSkm02Cu7+XXXz3w0sA3pJB3L/b6leuW3LIt17cZVug1uR/j2H+jbZQgDuo0gXTr9YKschxZ7ZRfLwxYwcEx3Xi7yCiFTV+NcpIRlsU6eiaCTVzNOnolg6sj5tHbpaFkspVIqLfbquYqNjWXinJFMDxxHrer18R+/lNw581gWb8eeX/AY0IpYE8vS2Rup+Xody2IplZLp51j13NyNvEsPnw+ZHjiOds3cWTQjzNJCH7pxCW26NyJXztysC9qihV45NL2yV8/FpX8u4N6/Jb8f2M6wPmP5uGM/y9ZtNcYwZd4YJvuP5s3X6zJv4nLy5HrBklhKpRZa7JXljv55kE5erly+cpF5E5bRuEFzy2JFRkXyyZhurNqwhNYuHZng44dTRifL4imVWmixV5b66bdNdBvUjiyZs7LS/3sql69mWax/rl6iy4DW7Nj7C4N6jKK3+yDLPj0oldposVeWWfCVP8Mm9qVU8bKETF1N4ZeKWRbr+IkjdOrryoXL5/Abu4imDVtbFkup1CgpyxIWFZHNInJYRA6KSF/b9tEisk9E9ojIt7YVquI7/l0ROSoix0VkcHI3QKU8cdMFf8KQcb2oV7MRq+f/ZGmhD9+xmabudbl99xbL52zSQq9UPJIyGica6G+MKQvUBHqKSDlgojGmkjGmMhAGDH/0QBFJD8wC3gPKAe1sx6o06vadW3z0SWvmLZ6Gxwc9CZq8kuzZclgWb8nqIDr0ep+X8hciLDicqhXfsCyWUqlZUpYlPA+ctz2+KSKHgcLGmEMP7ZYNMPEcXgM4blueEBFZCjQDDsWzr0rlzl04Q2fv5hw+vp8xn0zF/YMelsWKjY1l3KxhzAqZRL2aDZkzbjE5s+eyLJ5Sqd0T9dmLiDNQBdhme/450Am4DsS3ukRh4PRDz88A8V56iYgn4AlQrJh1H/mVNQ4c+R037+bcvH2DYN9Q/lX7Pcti3Y28Q59PO7N+82o6tvRkzCdTyZBBbz8p9ThJ/lKViGQHVgJexpgbAMYYH2NMUWAR0Cu+w+LZFt8nAIwx/saYasaYavnz509qWioF+Pandbh+VJ906dKzev6Plhb6C5fP09LzX2z4cQ0j+01i7OAZWuiVSoIkFXsRyUhcoV9kjFkVzy6LgZbxbD8DFH3oeRHg3JMmqVKm23duMXR8H9z7t6TUK2UJCwmnXMlKlsU79Mc+XNxq88dfRwicvJKu7fvo0EqlkijRSyKJ+980HzhsjPF9aHtJY8wftqdNgSPxHL4DKCkixYGzQFvAujls1XPV06cjm7Z8jXPRV1np/z1ZMme1LNb34RvoPrQDObLnInTeD1QoU8WyWEqlRUm5sq8FdAQa2IZZ7hGRxsA4ETkgIvuARsCDIZmFRGQ9gDEmmrjunW+Aw8ByY8xBKxqinr9m/24DwNxxiy0t9EHLZtO5X3OKF32VsOBwLfRKPYWkjMYJJ/6+9/UJ7H8OaPzQ8/UJ7atSt0xOcatJWTUvfNx4/QEELptFo7ouzByzgGxZs1sSS6m0Tu9sqRTp1u2b9PDpyPfh6/Hs4MWwPmNJnz69vdNSKtXSYq9SnLN/n8bN25VjEYcYN2QWHVt2tXdKSqV6WuxVirL30C46ezfnbuQdFk5bS72aDe2dklJpgi5eolKM9T+E0qJrAzJlysyawJ+00CuVjLTYK7szxjA7ZBJdB35AuVKVWBe0hdIlyts7LaXSFO3GUXZ1P/o+Q8f1ZvHqQJo2bI3viACyZM5i77SUSnO02Cu7uXbjKp6D2rJ1x2b6dhnCgG4jLBvGqZSj02Kv7OLEmT9x83Ll5JkIpo6cT2uXjvZOSak0TYu9embGxDu3XYJ27PkFjwGtiDWxLJ29kZqv17EoM6XUA/qZWT21p5mELHTjEtp0b0SunLlZF7RFC71Sz4kWe/VcGGPw9R9Nr2FuVK1Yk3VB4bxSrKS901LKYWg3jrJcZFQkn4zpxqoNS2jt0pEJPn44ZXSyd1pKORQt9spS/1y9RJcBrdmx9xcG9xxNr84DdQ56pexAi72yzPETR+jU15ULl88xZ9ximrzTyt4pKeWwtNgrS4Tv2IznwA/ImNGJFXO/4/UKNeydklIOTW/QqmS3ZHUQHXq9z0v5CxEWHK6FXqkUINFiLyJFRWSziBwWkYMi8mBFqokickRE9olIqIjkTuD4EyKy37bC1c5kzl+lILGxsXwxYygDxnSjVvX6rA78iaKFnO2dllKKpF3ZRwP9jTFlgZpATxEpB2wCKhhjKgHHgCGPOUd9Y0xlY0y1Z85YpUh3I+/QbVBbZoVMolOrbiyYuoac2XPZOy2llE1SliU8D5y3Pb4pIoeBwsaYbx/a7TdA7745qIuX/+aTMR+z7/BuRvabxEfteuuIG6VSmCe6QSsizkAVYNsjL3kAyxI4zADfiogB5hpj/BM4tyfgCVCsWLEnSUvZWbfB7TDGEDh5JY3qutg7HaVUPJJc7EUkO7AS8DLG3Hhouw9xXT2LEji0ljHmnIi8CGwSkSPGmJ8f3cn2JuAPUK1atSebbEXZVY7suQjxXUWFMlXsnYpSKgFJGo0jIhmJK/SLjDGrHtruBrgAHUwCs2EZY87Zfl8EQgEdmpFGVKv0Jl3a9iIsOFwLvVIpXKJX9hLX+TofOGyM8X1o+7vAIKCeMeZOAsdmA9LZ+vqzAY2AUcmSubK7/HkLMGqAb+I7KqXsLilX9rWAjkAD2/DJPSLSGJgJ5CCua2aPiMwBEJFCIrLedmwBIFxE9gLbga+NMRuTvxlKKaUeJymjccKB+IZWrI9n24Num8a2xxHAa8+SoFJKqWen36BVSikHoMVeKaUcgBZ7pZRyAFrslVLKAWixV0opB6DFXimlHIAk8MVXuxKRS8BJO4TOB1y2Q1x70LamTdrWtCkpbX3ZGJM/oRdTZLG3FxHZ6SjTMGtb0yZta9qUHG3VbhyllHIAWuyVUsoBaLH/X/HOtZ9GaVvTJm1r2vTMbdU+e6WUcgB6Za+UUg5Ai71SSjkALfaAiFQWkd9s8/LvFJEatu01HprDf6+INLd3rs/qMW1tKCK7RGS/7XcDe+f6rB7T1rwisllEbonITHvnmRwSaqvttSEiclxEjorIv+2ZZ3IQkWUP/b88ISJ7bNudRCTI9m94r4i8bddEn9Fj2plRREJs7TwsIkOSdEJjjMP/AN8C79keNwZ+tD3OCmSwPS4IXHzwPLX+PKatVYBCtscVgLP2ztXCtmYDagMfAzPtnafFbS0H7AUyAcWBP4H09s43Gds9GRhue9wTCLI9fhHYRdxKeXbPM5nb2R5YanucFTgBOCd2Dr2yj2OAnLbHuYAH6+beMcZE27Zntu2X2iXU1t+Nbb1g4CCQWUQy2SG/5JRQW2+buEV5Iu2VmAXibSvQjLjCEGWM+Qs4ThpZB9q2ZGobYIltUznge/jPmtfXgFT/pat42mmAbCKSAcgC3ANuJHaeRFeqchBewDciMom4rq23HrwgIm8AgcDLQMeHin9q5UUCbX1IS+B3Y0zU80zMAl4k3ta0wov421oY+O2h/c7YtqUFdYALxpg/bM/3As1EZClQFKhq+73dTvkll0fb+RVxb+Lnibuy9zbGXEnsJA5T7EXkO+CleF7yAf5F3B/YShFpQ9wC6+8AGGO2AeVFpCwQIiIbjDEp+orwadtqO7Y8MJ64xeFTvGdpa2rzlG2Nb0nRFP8J9XFtNcassT1ux3+vdiHuoqwssJO4ubV+AVL0xdlTtrMGEAMUAvIAW0TkOxO3DGzCsWz9Pg5NRK4DuY0xxvaR6boxJmc8+20GPjHG7HzuSSaTx7VVRIoAPwDuxpit9swzOST29yoinYFqxphe9soxuSTU1gc374wxY237fQOMNMb8asd0n5mtC+MsUNUYcyaBfX4BPjLGHHquySWj+NopIrOA34wxC23PA4GNxpjljzuX9tnHOQfUsz1uAPwBICLFbX/YiMjLQGniboakZgm1NTfwNTAkLRR6m3jbmkYl1Na1QFsRySQixYGSpP5uDYj71HLk4UIvIllFJJvtcUMgOjUXepv/107gFNBA4mQDagJHEjuRw3TjJKIrMM1W2CMBT9v22sBgEbkPxAI9jDGpfUrVhNraC3gV+FREPrVta2S70ZVaJdRWROQEcTc0nUTElbi2pubCEG9bjTEHRWQ5cIi4Lo2expgY+6WZbNryv10bEDcC5xsRiSXuarjjc88q+cXXzllAEHCAuG66IGPMvsROpN04SinlALQbRymlHIAWe6WUcgBa7JVSygFosVdKKQegxV4ppRyAFnullHIAWuyVUsoB/B8lXQZoGETSigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 4635 with population 3458881.658754778\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.28658 0.24398 47089.2336 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.08141 0.0693 15959.7474 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 4635 with population 3447489.674097435\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 3.12933 2.61047 3376213.6835 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 0.26074 0.22198 38673.576 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 0.07407 0.06306 12983.4203 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 1.57131 1.83344 19618.9943 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 4635, giving up w pop 3447489.674097435\n",
      "I am working on tract number 4640 of 5160 tracts\n",
      "loop no 9.0 for tract no 4643 with population 755489.0895749249\n",
      "loop no 10.0 for tract no 4643 with population 761826.2592312263\n",
      "loop no 9.0 for tract no 4658 with population 732983.5924161054\n",
      "loop no 10.0 for tract no 4658 with population 744905.0860685675\n",
      "loop no 11.0 for tract no 4658 with population 764769.8644492385\n",
      "I am working on tract number 4660 of 5160 tracts\n",
      "loop no 9.0 for tract no 4669 with population 638554.2179002558\n",
      "loop no 10.0 for tract no 4669 with population 930309.4829005845\n",
      "loop no 11.0 for tract no 4669 with population 890253.7860571622\n",
      "loop no 12.0 for tract no 4669 with population 631773.1069705061\n",
      "loop no 13.0 for tract no 4669 with population 712568.2362044976\n",
      "loop no 14.0 for tract no 4669 with population 767741.8691461652\n",
      "loop no 9.0 for tract no 4675 with population 837469.9862207666\n",
      "loop no 10.0 for tract no 4675 with population 781819.8121366627\n",
      "loop no 11.0 for tract no 4675 with population 773823.9761774116\n",
      "loop no 9.0 for tract no 4677 with population 769638.8630252618\n",
      "I am working on tract number 4680 of 5160 tracts\n",
      "loop no 9.0 for tract no 4680 with population 1008163.5919048162\n",
      "loop no 10.0 for tract no 4680 with population 952574.8514833201\n",
      "loop no 11.0 for tract no 4680 with population 611663.2882513686\n",
      "loop no 12.0 for tract no 4680 with population 636712.6908502848\n",
      "loop no 13.0 for tract no 4680 with population 764602.3508538845\n",
      "loop no 9.0 for tract no 4682 with population 736697.0745687335\n",
      "loop no 10.0 for tract no 4682 with population 770083.1086628656\n",
      "loop no 9.0 for tract no 4685 with population 927965.1586729458\n",
      "loop no 10.0 for tract no 4685 with population 809617.9035174611\n",
      "loop no 11.0 for tract no 4685 with population 765291.7998460728\n",
      "loop no 9.0 for tract no 4686 with population 769962.6155830119\n",
      "I am working on tract number 4700 of 5160 tracts\n",
      "loop no 9.0 for tract no 4700 with population 4874110.924691352\n",
      "loop no 10.0 for tract no 4700 with population 4858577.781308945\n",
      "loop no 11.0 for tract no 4700 with population 772000.0855457401\n",
      "loop no 9.0 for tract no 4702 with population 800234.9114730847\n",
      "loop no 10.0 for tract no 4702 with population 750552.7625472117\n",
      "loop no 11.0 for tract no 4702 with population 757963.0889718311\n",
      "loop no 12.0 for tract no 4702 with population 765970.8219540273\n",
      "loop no 9.0 for tract no 4708 with population 770587.1514111792\n",
      "loop no 9.0 for tract no 4710 with population 603736.020126814\n",
      "loop no 10.0 for tract no 4710 with population 626236.6826284014\n",
      "loop no 11.0 for tract no 4710 with population 994325.6842434274\n",
      "loop no 12.0 for tract no 4710 with population 967718.8888972173\n",
      "loop no 13.0 for tract no 4710 with population 749864.070739565\n",
      "loop no 14.0 for tract no 4710 with population 764842.8868485275\n",
      "loop no 9.0 for tract no 4713 with population 765307.0539304691\n",
      "I am working on tract number 4720 of 5160 tracts\n",
      "I am working on tract number 4740 of 5160 tracts\n",
      "loop no 9.0 for tract no 4742 with population 755888.2162857632\n",
      "loop no 10.0 for tract no 4742 with population 768821.3636760494\n",
      "loop no 9.0 for tract no 4747 with population 766961.6936370821\n",
      "loop no 9.0 for tract no 4748 with population 767678.4677161247\n",
      "loop no 9.0 for tract no 4753 with population 732000.5219598748\n",
      "loop no 10.0 for tract no 4753 with population 755426.7425313537\n",
      "loop no 11.0 for tract no 4753 with population 763577.0593675774\n",
      "loop no 9.0 for tract no 4759 with population 771463.6923464995\n",
      "I am working on tract number 4760 of 5160 tracts\n",
      "loop no 9.0 for tract no 4761 with population 765810.6517364127\n",
      "loop no 9.0 for tract no 4765 with population 768463.8378612758\n",
      "loop no 9.0 for tract no 4772 with population 757809.366001114\n",
      "loop no 10.0 for tract no 4772 with population 772482.9658950928\n",
      "loop no 9.0 for tract no 4773 with population 765664.558481596\n",
      "loop no 9.0 for tract no 4775 with population 768312.2346294278\n",
      "loop no 9.0 for tract no 4778 with population 773133.4038125672\n",
      "I am working on tract number 4780 of 5160 tracts\n",
      "loop no 9.0 for tract no 4783 with population 747338.3965308027\n",
      "loop no 10.0 for tract no 4783 with population 762504.3996599343\n",
      "loop no 9.0 for tract no 4789 with population 763629.1922178848\n",
      "loop no 9.0 for tract no 4798 with population 765753.7918407702\n",
      "I am working on tract number 4800 of 5160 tracts\n",
      "loop no 9.0 for tract no 4811 with population 882388.6454793087\n",
      "loop no 10.0 for tract no 4811 with population 802986.8621358208\n",
      "loop no 11.0 for tract no 4811 with population 782647.1246471014\n",
      "loop no 12.0 for tract no 4811 with population 775351.2447702338\n",
      "loop no 9.0 for tract no 4813 with population 724843.1726953917\n",
      "loop no 10.0 for tract no 4813 with population 821613.5198399345\n",
      "loop no 11.0 for tract no 4813 with population 738403.4881817356\n",
      "loop no 12.0 for tract no 4813 with population 745809.135351262\n",
      "loop no 13.0 for tract no 4813 with population 765448.5424227652\n",
      "loop no 9.0 for tract no 4814 with population 782902.2221906413\n",
      "loop no 10.0 for tract no 4814 with population 771281.2580368661\n",
      "loop no 9.0 for tract no 4819 with population 740823.6458862673\n",
      "loop no 10.0 for tract no 4819 with population 751895.7450219651\n",
      "loop no 11.0 for tract no 4819 with population 765549.9709535583\n",
      "I am working on tract number 4820 of 5160 tracts\n",
      "loop no 9.0 for tract no 4822 with population 863328.2832526757\n",
      "loop no 10.0 for tract no 4822 with population 767704.1530550055\n",
      "loop no 9.0 for tract no 4823 with population 761851.2959874081\n",
      "loop no 9.0 for tract no 4827 with population 767749.6368585216\n",
      "loop no 9.0 for tract no 4828 with population 766450.9769920477\n",
      "I am working on tract number 4840 of 5160 tracts\n",
      "loop no 9.0 for tract no 4845 with population 767300.9561531626\n",
      "loop no 9.0 for tract no 4851 with population 767066.8998167916\n",
      "loop no 9.0 for tract no 4855 with population 783443.0183318914\n",
      "loop no 10.0 for tract no 4855 with population 765205.2879960026\n",
      "I am working on tract number 4860 of 5160 tracts\n",
      "loop no 9.0 for tract no 4864 with population 757258.1361600094\n",
      "loop no 10.0 for tract no 4864 with population 767468.6090240089\n",
      "loop no 9.0 for tract no 4865 with population 886288.1312936316\n",
      "loop no 10.0 for tract no 4865 with population 886086.3761267746\n",
      "loop no 11.0 for tract no 4865 with population 852930.7283781014\n",
      "loop no 12.0 for tract no 4865 with population 665579.9186655919\n",
      "loop no 13.0 for tract no 4865 with population 680378.7183556032\n",
      "loop no 14.0 for tract no 4865 with population 854800.9372322572\n",
      "loop no 15.0 for tract no 4865 with population 809981.5922573954\n",
      "loop no 16.0 for tract no 4865 with population 793937.9668515039\n",
      "loop no 17.0 for tract no 4865 with population 783032.9815835191\n",
      "loop no 18.0 for tract no 4865 with population 777404.4887534837\n",
      "loop no 19.0 for tract no 4865 with population 774119.9987451213\n",
      "loop no 9.0 for tract no 4867 with population 685517.3033566864\n",
      "loop no 10.0 for tract no 4867 with population 720509.2411266088\n",
      "loop no 11.0 for tract no 4867 with population 739684.3230085843\n",
      "loop no 12.0 for tract no 4867 with population 764195.2263271175\n",
      "loop no 9.0 for tract no 4870 with population 751586.6895211734\n",
      "loop no 10.0 for tract no 4870 with population 751812.081371541\n",
      "loop no 11.0 for tract no 4870 with population 755524.3202638441\n",
      "loop no 12.0 for tract no 4870 with population 763840.2982521578\n",
      "loop no 9.0 for tract no 4876 with population 744487.3308821181\n",
      "loop no 10.0 for tract no 4876 with population 755619.4211816113\n",
      "loop no 11.0 for tract no 4876 with population 766075.21596662\n",
      "I am working on tract number 4880 of 5160 tracts\n",
      "loop no 9.0 for tract no 4887 with population 773468.5336331292\n",
      "loop no 9.0 for tract no 4899 with population 891439.3403329093\n",
      "loop no 10.0 for tract no 4899 with population 552442.1211666458\n",
      "loop no 11.0 for tract no 4899 with population 612200.7001513793\n",
      "loop no 12.0 for tract no 4899 with population 888014.9681239901\n",
      "loop no 13.0 for tract no 4899 with population 872051.701442081\n",
      "loop no 14.0 for tract no 4899 with population 612887.551905293\n",
      "loop no 15.0 for tract no 4899 with population 648048.8370047725\n",
      "loop no 16.0 for tract no 4899 with population 680672.083204415\n",
      "loop no 17.0 for tract no 4899 with population 701043.9931989277\n",
      "loop no 18.0 for tract no 4899 with population 731415.8138653302\n",
      "loop no 19.0 for tract no 4899 with population 742227.389703598\n",
      "loop no 20.0 for tract no 4899 with population 748976.8278605705\n",
      "loop no 21.0 for tract no 4899 with population 753981.2873130388\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.0013 2.08671 437723.9456 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 22.0 for tract no 4899 with population 756353.2446717405\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.06697 2.16549 440095.9029 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 23.0 for tract no 4899 with population 757403.342873955\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.197 2.39205 441146.0011 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 24.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.5543 3.09024 441788.6759 0\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 25.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 26.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 27.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 28.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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obtfkpUhJPT5+qnyaBT+v0ajBHzoaQGDYHsaPnFZgDR6gVAlThvatyMw/7nD+SiIN31W/ZkOjKAoN6lrRoK4V3w+vxrnLOfvZBsYRHH6NomYK7duUxttDtZ9t8WJyP1tJPRpPoVQUZRKQJISYqShKf+BzwE0IkZzbufKevPY8S3yKU9f6VK9ci50rD+UpnyZ4y2nMixbsFL9niarRvIN9SdbMqVeg760PhBBEnn+Of2Asu4PiePA4HQtzE1zblsbb0w53x9JYWsiGb+i0OpJXFKUMkCGESFAUxRJwB35TFOUD4DvARZ0GL2nXnOVTiXvymA3z/TXKUlnts5gbt6+ydu7OAm/wACWtTBn2SSV+XxLN2UvPaVyvRIHXoMsURaF5o5I0b1SSSWNqcOLsM/wD49gdHMveA3FYWpjg4WSDt6cd7dvI/Wyl/6XO7JpGwFqgCKoHtVuFEFMURbmOalplXM6hx4QQn7/pteRIXjuuR13BrWdTenj1Y8aPS9U+72U+TeM2rJ/vp8UK3+x5YiatPoqkWcMSrJsrR/PqyMoSHDut2t5w74E44hMysSpeBE9n1faGLq2sMS8qG76hkNk1RkwIwSejvDh1/jhhvhexsymr9rlf/zyMP3evJ9jnNLWrF25g2ILVMUxfdJvdaxrRpIEczWsiM1Nw5ORT/AIfs+9gPAnPMilpVYQP2qt2u3J0kPvZ6ju54tWIBYbt4dDRAMYOnaBRgz97KZItfmv4rM+oQm/wAAN7lKd0KVNmLzO8VbDaZpozC2fmhDqc3t+C9fPq8X47W/YdiOOTUZewf/8E3/xyndDjCWRmyrkPxkaO5PXYi3waMzMzAjdHqh1fIITgo8EuRN+9pbV8mrxYtCaGaQtvs2tVQ5o30o2a9FlaejYhR5/gHxTH/pA4kpKzsS1tRgdX1Qi/ZZOSFCkis/D1gdw0xEit2DSfqJgbbFq4R+N8mshzx5g9cbnONHiAATmbisxedodNC+sXdjl6z7yoCZ4utni62JKSmsXBIwn4BT5m255HrN/+gLK2/93PtnkjuZ+toZIjeT314PE9nLrWz3M+TYWylfBfE67VfJq8WLIuhl/m32bnyoa0aKw7/wAZkuSULILCn+AfEMuBI6oNzCuUK0onN9XmJ03kfrY6Rz54NUKjJg7EP/BPDv55luqVa6l93ot8Gr/VYTRr2FKLFeZNckoWrT+K5L3axdiyuEFhl2PwEpMyCQx7gl9ALIeOPiE9Q1C5gvnL3a4aviv3s9UF8naNkTl57hjb925kxMBvNWrwL/Jpunf8RCcbPEAxyyJ80a8SU+ZGEXHmGQ72cjSvTVbFTenyQRm6fFCGp88z2R8Sj39ALMs33WPJ+rtUr2xBJw/VBub16sj9bPWRHMnrmezsbDoNaMvDx/c1zqcZOLYrh08eKtB8mrxISVWN5t+pWYytS+RovjA8eZrBXwfj8QuM5fDJBLKyoFY1S7w8bPH2KKPXWzfqIzmF0ohs9V/H2UuRjB81TeN8moDQ3Xw5aJxON3gAS4siDO9fmcMnnnI08mlhl2OUSpcyo3fncmxeVJ/TfzkwfVwtypUpyryVMbj2PI1rj9PMWXGH61FysbuukyN5PZLXfJqMzAzcezUlMyuLAz4Fn0+TFympWbTtHEnNqpZsW9awsMuRcjyKTWdPcBz+QbFEnFFtYF7vneJ4e9jh5WFL9cpyA3NtkCN5IzF3xTTinjzm52/maJxPcz3qb34aO0MvGjzkjOYHVOboqWccPplQ2OVIOcraFWVgzwr4Lm/IiT3N+WlsDSzMTZi+6DZtO5/iw0/PsGRdDDH35QbmukKO5PXEi3yajzt9yswJf6h9Xmz8Ixy71KN549asn+enVw/OUtOyads5EtvSZvw0toZcvKPDYu6nsjsoDr/AWM5eUm0C07RhCbzcbenkbkfFcvoxuNBVcgqlgRNC8OmX3pw8e5TwHZc0ii/45pfP2eq/jmCfU9Surn/b7PkFxjJ28jVSUrMpa2tGx5y53HLxju66HZOKf1AsfgGxXLyaBICDfUm8Pezo6GZLWTu5n62mZJM3cIFhexgwpguTxsxgaN8v1T7v3OVTdOjXmqF9RzNx9G9arFC7klOyCAyLZ3dg3MvFO+XLFqWTmy3enmVo2kAu3tFVN26rNjD3D4zlyg3VBuatmr5o+HbYlpb72apDNnkDlpaehmvPJpgWKULQllMa5dN0HtyOqJgbhPlepKRVKS1XWjASkzIJCI3HLyCWkGMJcvGOHrl6Mxm/QNUI/8btFIoUgTbNSuHtaceH7W0pXUo2/NeRTd6ALVozg2kLx7NxwW7atfZU+zzffZsYOWEAsyYso9dHA7RXYCH65+Kd0OMJZGYJuXhHDwghuHw9Gb8A1Qg/KiYV0yIKzi2t6eRhywftbClVQq7T/CfZ5A3Uw9j7OHWtT9vm7Vg921ft85KSE3Hu1oByZSqwe81hncun0Qa5eEc/CSG48HcSfgGqDcxj7qdR1EzBpZU13p52eDjZUEJuYC6bvKH6ctIg/AK2ap5Ps+hHFq7+nV2rQmneqJUWK9RNcU8y2HtANdPjaORThIC6NYvh5WmHl7sttavLhq+LhBCcvpiouocfFMv9h+mYF1VwbVsaLw9Vwy9maZz72comb4Aizx/He6ATIwZ8w7gRU9U+LyrmBu0/boyXx8fMn7JaixXqhxeLd/wCVYt3QC7e0QfZ2YLIc8/xC4xld1Asj+IysDA3wd2pNN4edri2Na4NzGWTNzDZ2dl4DXDk/qO7hG6/gFVx9bfDG/RVN8IiDhDme5HyZSpqsUr9c/9R2su53KfOPweg0XsvGr4dlStYFHKF0qtkZQkizjzDLzCWPcFxxD3JoHgxE9V+tu52tGtT2uD3s5VN3sD4+K1l7JQhzJ+ymm4d+qp9XsixQPqM6Mi4Eb8wYsC3WqxQ/71q8U6TBlZ4e9jJxTs6LDNTcPTUU/wDY9lzII6Ep5mUKF6E99vZ4O1hh1NLa4qaGV7Dl03egDxPfIZTt/pUrVSDXStDNMqn8ejdjIyMDA5sPaM38QW6IComRdXw5eIdvZKRmU14xFP8AmP562AczxKzsC5pygftbPD2tKNNc8PZwFw2eQPy87zv+WPDHPasPULjes3UPm/5pvn8NPtrVs/2xdO5kxYrNGxy8Y5+SkvPJvR4An4BsQSExpOYlEXpUqaq/Ww97WjdtJReR2LIJm8grkf9jVvPJnTv+AmzJi5T+7y4J49x7FKPpg1bsmG+v5wbnk/k4h39lJqWzaGjqt2uAsPiSU7JpoytGR1dbfHysMPBvqTeRWLIJm8gPh3lzYmzRwjzvUgZ23Jqn/ft1P/g47dWb/NpdJ1cvKO/UlJz9rMNjCU4PCcSo0xROrrb4uVuR7OG+pGBJJu8AQgK30v/0Z2ZOPp3hn0yWu3zXuTTDOnzJZPG/K69AiVALt7RZ0nJWQSGqhbMHTyi2s+2YrmieOWskG5cT3czkGST13Np6Wm49WqCiWJC0JZTFDVT70GfEIIun7Xn1p3rBpVPoy/k4h399Swxk4AQVcMPPZZARqagaqWcDCQPO+rX1a0MJNnk9dzitTOZuuAHNsz3p32b99U+b8dfmxnxY39m/vgHvTsP1GKFUm5etXjH0kK1eMfL3fgW7+iThGeZ7D+kmk4bFqGKxKhR1eJl6N27tQo/A0k2eT32Ip+mTTMX1szZofZ5ScmJOHdvSFnbcuxZe8Qo8mn0hVy8o7/iEzLYd1DV8I+cfEp2NtSpYflywVydGoUTiSGbvB4b/dNgdu334cDWM9SoUlvt86YvmsCC1b+xc2UILRq31mKF0tsw1sU7huBxXDp7DsSxOzCWY6dV+9m+V7uY6h6+px01qhRcJIZs8nrq1IUIvAY4Mrz/1/wwcpra592OuUn7Ho3p6NaNBT+v0V6BUr56sXjHPzCWvw7F8fT5vxfvtG1ujamp7twHlv7rweM0VQZSQCwnz6kiMRrU/W8kRtVK2o3EkE1eD71NPs3gr7sTejxY5tPosfSMbEKO/Xvxjo21KR+2N4zFO4bs7oM0dgepptOevpgTiVHfik4edni521GpfP6vNpdNXg/5+K9j7OTPmDd5Fd07fqL2eaHHgug9ogPfD/+ZkQO/02KFUkExxMU7xiL6biq7g1TTac9fUUViNG9UAm9PVSRG+TL50/Blk9czL/JpqlSszq6VIWo/NP1nPk2wz2kszGVqoqFJSc0iOPwJfq9YvOPtoVq8U9gzPaRXuxmd8nI67eVrqkiMlk1K4uVhR0dXW8rY5j0DSTZ5PfPLvO9Zsn42e9Yewb6++l+3FZsXMGnWV6yetR1PFy8tVijpgheLd/yDVIt30tIFlcqb0ymn4evy4h1jd+1WMrOX3cEvMBaAomYKQVuaUKta3h7WyiavR27cvopbzyZ069A3T/k0TRo4sHHBbvnNbWSeJ6r2s9WXxTvGKCU1i6ORzwgOjyf48BPu3EsDVJvUvO9iw4gBlbEwz9tMKtnk9cinX37EiTOH85xPE7Qlkjo13tNihZKue93inRczPXRh8Y6xuPsg7WVTD494SmpaNpYWJjg5WOPmWBrXtqXzZW+Ct2nyMmSjAAWF7+XA4X1MGP2bRg3+/JXTbNq5is96j5INXsK6pCk9vcvR07vcvxbvLFgdw7yVMS8X73h72sn9bPNZZqbg1IXnqsYe/oTL15MBqFbJgj6dy+HmWJpWTUvlecSuDbmO5BVFsQBCAXNU/yhsE0JMUhTlY+An4D3AQQiR6xDdmEfy6RnpuPa0z3M+zc3oa4T5XqRUCWvtFirprcdx6ew9GId/wD8W79Qp9nJ5fkEu3jEk8QkZHDr6hODwJxw6mkDCs0xMiyi0sC+Bu6MN7k6lqVXNUqs/PWl7JJ8GuAohEhVFMQPCFUXZB1wAugJ/5OWNjc3KzQu4FX2dDfP91W7wALv2+3Di7BFm/LhUNnjpjcrYFqV/9wr0717hX4t3fl8Sze9Lomn4bnG83Atm8Y4+exEtHRz+hKCweE5deE52NtjZmOHhbIObY2lcWllTUk/SRjW6J68oSjEgHPiPEOJ4zscOAV/LkfzrPYp9gFO3+rRq6sTaOTvVPi85JQmnbg0oa1uO3WsOU6SIDLiSNPe6xTteOfvZamPxjr5JTski/MTTl/fX7z9MB1Qbvbs52uDWtjSN61kV2noFrd+TVxSlCBAJ1AYWvWjwap47FBgKULVq1bzUqPd+XfQjaWmpTBozQ6PzFqz+jQeP7rL0102ywUt5Vqm8OcM+qcSwTypx514q/oGqxTtT5kYxZW6UVhbv6IPou6kEhz8h+HA8R04+JS1dULyYCS4tS/P10NK0b1uacgawv6+mI3lrYAcwUghxIedjh5Aj+dd6kU/zRb+vGD/qV7XP+28+TVcW/LxWixVKxupmdMrL1ZovFu+0alKSTh52dHKzxc5G/xvcP2VkZnPizHOCD6seml67lQKoZia5O6puw7RsUlInA+MKdAqloiiTgCQhxMycPx9CNvlXys7OxnugE3cf3CHM96JG+TSfffMxIceCCN1+gQplK2mxSkmC61HJL0f4V2+mYGICbZqXwttDtZ+tjbV+7mcbG5/OgSMJBIfHE3osgWeJWZiZKrRqWlJ1G8axNDWr6v4Daa3erlEUpQyQIYRIUBTFEnAHfsvLmxmbbXs3cPriCeb+tFKjBh96PJh9B3fx/fCfZYOXCkTt6sUYM6QqY4ZU5cr1JNUG5oGxfDv1BuOm38DJwRpvDzveb2eLdUndfeD4YnvGoPAnBIfHc+ZiIkJAOTszOrrZ4uZog5NDKayK6+415Dd1plA2AtYCRQATYKsQYoqiKF2ABUAZIAE4I4R447ZGxjSSf574DOduDahUoSp+q0I1yqfx7NOctLQ0Dmw9I/NppEIjhODi1aSXI/zou2mYmSo4t8pp+C66sZ9tYlImYRGqh6YHDj/hYWwGigL29a1wc7TB3bE09d8prtchb1odyQshzgFNXvHxHajuz0uvMG/lNB7FPWDVrO0a7dq0btsfXL15mVUzt8kGLxUqRVFoUNeKBnWt+H54Nc5dTsQvMBb/wDiCw69hXlShfRvV9oYezjYUL1ZwkwNuRqeoHpqGx3Ps1DMyMgUlrYrg0toat7Y2tG9jbXDPFPJKxhpowYt8mq4f9mH2pOVqnxf35DFOXevTuF5zNi3cI5emSzopO1u16tM/MJbdQXE8eJyOhbkJbo6l8faww80x//ezTUzOYO2fN/ALeMCN25CSqnpG8E5NS9zaqu6tN29cAjNT3Xtomh9kdo2O6Te6M8dPhxG2/SJl7cqrfd63U7/Ax2+NzKeR9EZ2tuDE2Wf4Bai2N3wcl0ExSxM8nFS7XbVrXTrPS/wv/P2EFZuuE3r8GQ9jzVDdMc7GtMgzxo1oRAfXMkazqEtm1+iQ4PB9BIfvZcKX0zVq8BeunGbTzpUM7jVSNnhJb5iYKLRsUoqWTUox5euaHDv9FL+AWPYeiGNXQCxWxYvg6axq+C6t3ryfbWZmNtv2RrHV/y7nLqeTkmqR8x4m1KmRRYWyKYQeP83kr9wZ0KNKQV2i3pMj+XyUnpGOW0/V44tgn9Ma5dN0HeLKjdtXZT6NZBAyMwVHTj7FL/Ax+w7Gk/Ask1IlivBBO9VuV44OpTAzNSHmfhLLN18jMDSe6LsmCGEGCKyKpdKskSV9Olelg2sl0tKzaPfxMkoUL8pfGwZjaqC3ZV5HjuR1xKotC7kZfY318/w0yqfxC9hKxJnD/D5+iWzwkkEwzZmF49zKmmnfZxN2PAH/oDj2HojDx//R/xyvKEWoVD4TN8dSfNarFjWrlfzX55duOELM/adsXdrH6Br825Ij+XzyIp+mZRMn1s3dqfZ5L/JpytiUZc/aIzK+QDJoaenZ7Np/nzGTowBo0iCLHh0r0sOrBhaveVh798EznLstxbVtLZb/3q0Aq9UdciSvA6YvmkBaWio/jdUsn2bhmt9V+TTTNsoGLxk886ImHD55CjPTSxzYOoSaVW1yPWfq/AMATBztpu3yDJL8uScfnL5wAh//tXzWeyQ1q9ZR+7zou7dYun42XT7oRQv7NlqsUJJ0w6kLd9m25zzDPnFQq8EfOxXNroBL/KdfK6pUtNZ+gQZINvm3lJ2dzYSZYyhrW54vB/+g0bk/z/0OE5Mi/DBympaqkyTdkZ0tmPB7AOXLWDFqUNtcj8/KymbCzAAqlivJ8P6tC6BCwySb/Fvavncjpy9EMG7kL5SwKpn7CTnCIg6w9+BORg36norlKmuxQknSDX/uPseZS/f5YaQrxYvlPjFh084zXLr6iB+/dMXSQj8D0nSBfPD6FhKTnuPUtT6VylfBb3WY2vEFmZmZePZpTmpaqsynkYzC88Q0nLotpWola3at7Jfrau6EZyk4dllK3Vp2bPvjE6Nf/S0fvBaSF/k0K2dt0zif5u+bl1g580/Z4CWjMHdlOLHxSayd00Othj3rjzCePk9lyteeRt/g35a8XZNHN6OvsXzTfHp49aNpAwe1z4tPiGXmH5NxcnDjfRdvLVYoSbrhelQcKzefoJd3YxrXq5Dr8VeuP2Lttkj6drGn/jvlCqBCwyabfB5NnvMN5uYWjBv+i0bn/bZ4EonJz5ny9Sw5QpGMwuTZQViYm/H98Ha5HiuEYNLsIEoUN+fb/7hovzgjIJt8Hhw4/BdBYXsZPfgHzfJp/j7Dxh0rGNDjC96pWU+LFUqSbggKv86BIzcYM8QRO5viuR6/7+DfhEdE8fUwZ2ysixVAhYZPPnjV0Nvk03Qb6sa1W1cI33FJxhdIBi89IwvXnssxUSBoyxCKmr15sV9KagbteyyjuGVR9m80vnyaN5EPXgvQKp9F3Iy+xrq5uzTOpzl+OpzfflgsG7xkFFZuPsGt6Hg2zO+Za4MH+GPDce7ce4rPEplPk5/k/0kNPI57yNzlU3Ft+yFujh+qfV5yShI/zx9Hg7r29P5ooBYrlCTd8DA2kTkrwvFwqkP7NrVyPf7ug2csXHOUDq51cWxRXfsFGhE5ktfA9EUTSE1L0TifZtHaGdx/GMPiqetlPo1kFH5deJCMjCwmjVUvb2bq/AMIIWQ+jRbIkbyazlw8yRa/NXzWeyS1qr2j9nnRd2+xZN0sOr/fEwf73JdyS5K+O3XhLn/uPs+QPg7UqJJ7Ps3x06p8ms8/bSnzabRANnk1vMinKWNbLs/5NONH/aql6iRJd7zIpylnZ8WoQbmH7mVlZTNhRiAVypWQ+TRaIpu8Gnz3beLU+eOMGzFVo3ya8BMH2XtwJyMHfifzaSSj8Oee8zn5NO2xKm6e6/Gbd53l4tWHTPjSjWKW6k9kkNQnp1Dm4m3yad7v24Lk1GQObj0r4wskg/cin6ZKRVU+jYmJzKfJL3IKpRbNX/VrnvJp1m9fxpUbF1kxY6ts8JJRmLfyMLHxSayZ/XGuDR5g9jJVPs3kr2Q+jTbJ2zVvcOvOdZZvms/HnT7VOJ9mxtKfcHRw5YN2H2mxQknSDTdux7FicwQ9vRpjX79irsf/feMxa/6MpE9nexrUlfk02iSb/BtMnv0NZmZFGTdCs3ya35f8pMqn+Urm00jG4aeX+TS5580IIZg4KxCrYuZ894XMp9E22eRf4+CR/QSG7WH04B8oZ5d7ct4LF6+eVeXTfPwf6taqr8UKJUk3BIdf58DhG4we4kgZW6tcj//r0NWcfBonmU9TAOSD11dIz0jHvVdTskU2wVtOY14091kCoBqhdB/mzt83LhG+4xLWJUtruVJJKlya5tOkpmXSvscyLM1NCdj0mYwvUJN88JrPVvss5sbtq6ydu1PtBg/gF/gnx06FMX3cItngJaOQl3ya6LsJbFncWzb4AiL/L/8/j+MeMmf5L7i2+QB3xw5qn5eSmswv88ZR/53G9Ok8SIsVSpJueBSbyNyV4bg71VYrn+bew2csWH2EDu3r4uRQowAqlECO5P/H9EUTSElNZlIe8mnuPbzDwl/WynwaySj8uugQaWmZTBrjrtbxU+cfUK0el/k0BUqO5P/h7KVIfPzX8lmfUdSuXlft8+7ci2LJull85NmDlk0ctVihJOmG0xfusdX/HEP7tqRm1dzzaSLO3GHn/kt8/mkrqlay1n6B0kuyyecQQjBh5hjsbMoyWsN8milzvwMUmU8jGYXsbMGEGZrm0wRQoVwJRgyQ+TQFTTb5HL77NhF57hjjhv+iUT7N4ZOH2HtgByMHfkel8lW0WKGUV9nZ2RTkLDJDt23veU5fvMe4Eern01z4+yETRrnKfJpCIKdQosqnce7WgAplK+G/JlzjfJqklCQObj2LpYWlliuV1JWekUHEmQvsDgpj/fbdFC9myR/Tf8TRoQlmpvJRVF4lJqXh1HUplSqUwm9Vf7XyaZy6LqVODTu2L5P5NHklp1C+pQWrp/Mw9j7LZ2zVKJ9mg+9yrty4yPLffWSD1wGPYuM5eOQEQeHHCT1+isSk5JefS0pO4ZNR47EuVYIO7R3x8nChTbPGmJrKh+SamLfyMI/iklitbj7N8nCePE1hylcessEXklybvKIoFkAoYJ5z/DYhxCRFUWwAH6A6EAX0EEI80V6p2nHrznWWbZxH946f0KxhS7XPi0+Ie5lP82H7ztorUHqt7Oxszl2+RnD4cYIPR3D20lUAypexxdvDBXfHljg6NKF4MUvS0tMJORqJX+AhdgUcYtPOfdjZWNPB1RFvj3Y42NeXs6JyceN2HMs3RdDTq5Fa+TRXbz5mzdaT9O3ShAbvli+ACqVXyfV2jaL657e4ECJRURQzIBz4EugKxAshpiuK8j1QWgjx3ZteSxdv1wwc25XDJw8R5ntRo/iCcdNHsnHHCgI3nZTxBQXoeWISIcciCT4cwcEjJ3gc9wRFUWjS4F3c2jrg7tiS+nVrvXHUmJKaxsEjJ/ALDCEo7BgpqWmUs7Oho5sT3h7taNboPY1+ojMW/UZv5fjpaMK2f05ZuzfHFwgh6D18M+cuPyB8x+cyvuAtafV2jVD9K5CY80eznF8C+Ahol/PxtcAh4I1NXtccOhpAQOhufhgxVeN8mg2+y2U+TQEQQnDjdgzB4ccJCj9OxOkLZGZlUaqEFS6tmuHm2JL2bZpjW9pa7de0tDCng6sjHVwdSU5JITDsOP6BIWzcsZdVPruoUM6OTm7OeHu60KT+u/I2A3Dg8A2Cw68z4UvXXBs8wP6Qq4RFRDHlaw/Z4AuZWg9eFUUpAkQCtYFFQojvFEVJEEJY/+OYJ0KI/1nLryjKUGAoQNWqVZvdvn07v2p/KxmZGbj3akpmVhYHfDTLp/l4mAdXblyU+TRakpaezrFT5wgOjyA4PIKomHsA1K1ZDTfHlrg5OtC8Uf18v5+emJRMQOhR/AJCCDkWSXpGBlUqlsPL3QVvTxca1K1tlA0/PSMLt57LAQj2UT+fxsLclIBNgzGTzz3emtYfvAohsgB7RVGsgR2KojRQ9w2EEMuAZaC6XZOXIrVhtc9irkf9zZo5OzTKp/EP2sbRU6Eynyaf3X8Uy4HDEQSHHycs4jTJKalYmBelTXN7hvTtiltbB6pU1O59Xavixej6oRtdP3Tj6fNE9occwT8ghGUbt7N43VaqV6n4suG/V7uG0TT8VVtOcDM6nvXz1MunWbZRlU+zeVFv2eB1gMZTKBVFmQQkAUOAdkKI+4qiVAAOCSHeuExUV+7Jx8Y/wrFLPZo3bs36eX5qf7OmpCbj3K0hpUvZsG/9Mfmg7i1kZWVx+uLfqoem4RFcvHoDgErly+Lm6ICbY0vaNm+MpUXh76oVn/CM/YcO4xcYwuGTZ8jKyqZ29Sp4ebjQ9UM3alatVNglas2j2EScui2lZZOqrJvbI9fj7z18hnO3P2jXugYrZnQvgAqNg1ZH8oqilAEyhBAJiqJYAu7Ab4Af0B+YnvPfXXkpoDC8yKf5aexMjUZji9fOlPk0b+Hp80QOHT1JUNhxDh09SXzCU0xMTGjeqB7jRgzCzbEl79aqrnMjZBvrkvTu/CG9O39I3JME9h4Ixy8whLkrNrJk3VYObl1O1UrqP9PRJ9Nz8ml+GqtePs20BQfJzs5m4mj1jpe0T53bNRWAtTn35U2ArUKI3YqiHAW2KooyGIgGPtZinfnm3OVTbPFbw9C+ozXKp4m5f5vF62bi7fGxzKdRkxCCqzdvq+6tHz7OibMXycrKxrpUCVzbtMCtbUtcWjejdCn1VxgXNtvS1nzarROfduvErTt3ces5lPmrNjNzwtjCLi3fnb5wDx//c3zRr5Va+TQnztxhx18XGTWojcyn0SFGteJVCEHnwe2IirlBmO9FSlqVUvvcod/1Ijh8H6HbL8j4gjdISU3jyMmzBB9W3YaJuf8QgHrv1MStreqhadMG7xrMT0ITZy5mzZ9+hG1fTbXKhjOaz84WeA9ay937Twnz/TzX+IKsrGw69l/D4/gkwrYPk/EF+UyueFXTjr82c/LcUWZNWKZRgz988hB7gn35+vNJssG/wt0HjwjKubd++MQZUtPSsLQwx8mhKSMH9sK1rQMVy5Up7DK1YviAnmzcsZd5Kzcxe9JXhV1Ovtm+9wKnL9xjzk+d1Mqn2eJ3lvNXHrDol49kg9cxRjOST0pOxLlbA8qVqcDuNYc1yqf54BMHEpMTZT5NjszMLCLPX8qZ4nicKzeiAKhaqfzL0XrrZo2xMDeOb/ZJs5aweusuQratpEYV/X8I+zKfpnwp/Fbnnk/z9Hkqjl2WULu6Lb7LP9W5ZyqGQI7k1TB/9XQePL7Hst99NM6nuXz9Ast+22LUDT4+4SkHj5wgODyCkGORJDx7jmmRIrSwb8CEL4fg5tiS2tWrGOU3+PD+PdngqxrNz/3pm8Iu563NX3WER3FJrJqlZj7NsjCePE3h5689jfLrr+uMoslHxdxg2Ya5dOvQN0/5NG1btKeDaxctVqh7hBBcunbz5Wj91IUrZGdnY1u6FB7OrXBzbIlLq2aUtCpe2KUWurJ2NvTr3okVm3cwcmBvalWrXNgl5dnN6HiWbTxOD69GNGmgbj5NJH0628t8Gh1lFE1+ypxvMTU144eRUzU6b+Yfk3me9IwpX80yihFKckoK4RFnCAo/zoEjEdx/GAtAo/fq8OXgPri1daBxvXdkrssrfNGvB+u27Wbuio0s+Fmv0j3+ZfKcIMzNTRk3vF2uxwohmDQriGKWZnz3hYv2i5PyxOCbfMixQPaH+PPDiKmUL5P7yOSFS9fOsX77Mvp3/5x3a6u9wFfv3I65/zLF8WjkWdLSMyhezBKXls34eqgD7du2oJydbWGXqfPK2JZmQA8vlm305cvBfahdXf8e0B84fIOgsOv8OEq9fJqAkGuEHr/F5K/csS0tf6LTVQb94DUjMwOP3s3IyMzMcz5NmO9FSpfKfY6wvsjIzCTizIWXt2GuR90BoEbVSrg7tsTNsSUtmzSgqJlZIVeqf2Ljn9DKux8ftGvDwl/GFXY5GslLPo1rj2WYy3yaAiEfvL7Gmq1LuHbrCqtn+2qUT7M7eDtHT4Xy6/cLDaLBx8Y/4cCLh6ZHT/I8KRkzU1NaNW3IJ1074ubY0qCX5hcUO5vSDOrZmcXrtvLl4L7UqVG1sEtS2yqfk9yMjmfd3B5q59Pclvk0esFgR/Iv8mmaNWrFhvn+GuXTuHRvRKmS1vy1/rjeLtpJTUtn2cbtBIQc4cylqwghKGdng2tbB9wcHXByaIpVcRkBm9/iE57Syrsf7o4tWTxNsw3hC8vjuEScuv5BC/vKrJ/XM9fj7z96jnO3pTi3rMHKmTKfpiDIkfwr/LZ4IimpyUz+SrN8miXrZnH3QTTzp6zW2wYPcP1WNDOWriU7OxuAbh3c+e6LAVQqX7aQKzNsNtalGNjzIxat8eHLwX2oW6t6YZeUq+mLQkhNy9Agn+YAWVnZTBztpuXKpPxgkNMkzl0+xeZdqxnUawS1q7+r9nkx92+zaO0MvDy606qpkxYr1L4G79Ym3Hc140YMov47tdi+NwiHTp/Q5bOxrPbZxaPY+MIu0WAN69ud4sUsmbNiY2GXkqszF++xxe8sn/V2oFa13B+wnzhzB999Fxn2SUuqVZZR2/rA4G7XvE0+zbDvexMUtpfQ7eepVF5/7qeq48btGPwDQ/APDOHKjShMTExo1bQhXu4udHRz1GhnJSl3vy1ezfxVmwna8gfv1a5R2OW8Una24KPB67hzL4Gw7Z9Twkrm0+iqt7ldY3Aj+Rf5NN9/8bNGDf7IyRB2B21nxIBvDK7BA9SqVpnRn/Ul2GcZB7cuZ/TgPjyKjWfc9Pk0+aAXvYd/z6ad+3jy9Flhl2oQhvbtRonixZi9bH1hl/JavvsucOr8XcaNaJ9rgwfw8T/H+SsP+HGUq2zwesSgRvJvlU/zaUueJz7j0J/njCa+QAjB5eu38AtQjfCjYu5hWqQIzi2b4uXpwvsubShVIvf50tKrzVi6lrkrNhKwaQn136lV2OX8S2JSGs7d/qBiuZJq59M4dV1Kzao27Fgh82kKmhzJ51iw+jcePL7HlK/naJZPs2MFl6+dZ8KX042mwQMoikK9OjX5fvhAwnes5q8NixjatxvXoqIZ89NM7D17MmDMRHz3BZOYlFzY5eqdIX26UtKqOHOWbyjsUv7H/FVHeBibyJRvPNTKp5mzPJz4hGR+/kbm0+gbg5ldExVzgz82zKHrh31o3qiV2uc9eRrPjKU/0aZ5Ozq6ddVihbpNURQavluHhu/W4YeRgzlz8W/8AkPwDwohMOwYFuZFcW3jQCcPZzycWlLM0nj+Mcwr65Il+Kx3F2Yv38CFv2/QoK5ujOZv3Yln+aYIPu7UkKYNcl8fce1WLKt9TtKnsz0NZT6N3jGY2zWDvupGWMQBwnwvahRfMP63L1m3/Q8CNp3gvdoNtVKbPsvOziby3GX8g0LYHRTKw9h4LC3McXdqhbeHC+3btMDSQv2FZsbm6fNEWnv3o1XThqyaNbmwywFgwJg/ORJ5mzDfzymXS3yBEIK+I7dw+sI9wnd8LuMLConRz5MPPRbE/hB/xo34RaMGf/n6edZt/4N+3YbJBv8aJiYmtLCvTwv7+kwaM4yIMxfxCzzEnuAw/ANDKF7MEk/nVnh7tMOldTPMi8oHcv9UqoQVQ/p2ZebSdZy/co2G79Yp1HoOHrlBYNg1fhzlmmuDBwgMvUbIsVv8NFbm0+grvR/Jv8ynycjgwNYzmuXTfO7J5evnCfe9ZBDxBQUpMzOLo6fO4R94iD0Hwkl4+pwSxYvxfrs2eHu0w6llE5l/k+N5YhKtvPvRonF91syZUmh1pGdk4d5rOdkCDmiQT1O0aBECN38m4wsKkVGP5Nf+uVSVTzNru0b5NHuCfTkaGcK07xfIBp8HpqZFcHJogpNDE6Z+N5LDJ87gFxDCX4cOs21PENYlS/BBuzZ4e7rQtnkTTI24QZSwKs7Qvt34fckazlz8G/v66m8gn59W+5zkxu141qqZT7N8U4Qqn2ahzKfRZ3o9ko978hjHLvVo0sCBjQt2a5BPk0K7jxtRwqok+zdE6HV8ga5Jz8gg5Fgk/oGh7A85QmJSMjbWpejg6oiXhzOtmzYyyv/fzxOTaPVRP5o2eI/1834p8Pd/mU/TuDLr56ufT+PkUINVs2Q+TWEz2pH8b4snkpySpHE+zdL1s4i5f5ttfwQZZcPRpqJmZng4tcLDqRWpaekcOnoCv4AQfPcFs8F3D2VsS9PR1QlvTxdaNK5vNBuQlLAqzuefdGf6otWcunCZpg3eK9D3/22xKp9mktr5NAfJzMxm4hiZT6Pv9PY77PyV02zauYqBPYdTp4b63zB3H0SzcM0MOrl3o3UzZy1WKFmYF+WDdm1ZPO0HzgVu5Y/pP+Jg34AtfvvpOuQrWnTsy8RZSzh57hIF+RNlYRnY4yNKlypZ4Ktgz166zxa/swzu3YLa1dXIpzkbg+++Cwz7pCXVZT6N3tPL2zVCCLp81p6b0dcI871IqRLWap/7+bg+BIbuIWTbOSpXqPbWtUiaS0pOISjsGH6BIRw8coK09AwqlS9LJ3dnvD1caFzvHYNdcLNojQ/TFq5k16q5NG9UT+vvJ4Qqnyb6rnr5NNnZgo79V/MoNpHQ7Z9TvJicLaULjG7F6879Wzhx9gjjhv+iUYM/GhmKf+A2hvf/Wjb4QlS8mCUfvd+elTN/4mzAVuZN/pb36tRg1ZaddOw/kradB/DrwpVcuHLd4Eb4A3p4Y1u6VIGN5n33XSTy3F3GDW+nXj6N31nOXX7A+FGussEbCL0bySenJOHUrQFlbcuxZ+0RjfNpnj1/Ssi2c1hayA0zdE3Cs+fsP3QEv8AQwiJOkZWVTY2qlfD2cMHbw4V3dTTNUVNL1//Jz/OWs3PlHFo0rq+193mRT1OhbAn81wxQO5+mRhUbdq6U+TS6xKhG8gtW/8aDR3fVzqdJTHrOvoM7+WL8J6p8mtHTZYPXUdYlS9DT+302LpjGmf0+/D5+NJXKl2XB6i249RpG+x5DmL1sPdejogu71LfSr3sn7GysmfXHOq2+z4LVqnyan7/11Cif5pdvZT6NIdGr2TW3Y27m5NP0pkXj1q897mb0NYLD9xEcvo9jp0LJyMygRPGSDO41gk5u3QqwYimvbKxL0bdLB/p26cDjuCfsPRiOf0AIs5dvYNay9bxXpyZe7s54e7pQo4p+7U9bzNKSL/r1YMrcZRw/fZ6WTfJ/tfWtO/Es2xhB946a5dP0/kjm0xgavbpdM/jr7oQeDyZ0+wUqlP3vX9z0jHSOnQpTNfbDe7kVfR2AOjXexc2xA25tP6SFfRvMTOUKTH334HEce4JD8QsI4eS5SwA0fLc23h7t6OTuRNVKFQq5QvWkpKbS+qP+1KlRlT+Xzsj31x849k8On1Q/n+aTUT6cOn+XMN/PsbOR8QW6xijmyYceD+avQ358P/xnKpStxKPYBxw4/BfB4XsJjQgmMek55kXNadO8HYN7jsC17QdUq1yzsMuW8ln5MrYM7tWFwb26cPfBI3YHheIfGMLUBSuYumAFTerXxcvDhU7uzjq9n62lhQXD+/fkp9lLORp5jtbNGuXbax86epOA0GuMH9levXyasOscOnqTn8a6ywZvgPRiJJ+RmYFnn+ZE341icK/hhEUc4NzlUwBUKFcZt7Yf4ub4IY4t2lPMUv4lNUZ37j3APzAUv8BDnL+i+kmueaN6eHu60NHNmfJlcp8fXtBSUtNo27k/NatWZtuymfnymhmZWbj3WkFmVjYHfIZgXvTN47i09ExceyzHzMxE5tPosLcZyetFk9+0cxXf/PI5oEpFbNqgJW6OqsZer04j+ZBI+peb0XfZHRSKX2AIl6/dRFEUWjVpSCcPZzq5OWFnozsLfFZu2cHEmUvYuvR32ja3f+vXW7Yxgslzglgz52M8nHJPvFy45gi/LjzEpoW9cGklf/LVVQbf5EOPB7Pjr804ObjSrvX72Fjr3qhM0k3Xo6LxCwjBLzCEa7eiMTExoU3zxnh7uPBh+7bYWKu/D7A2pKal07Zzf6pVrsD2ZbPeasASG5+EY5elNG9cifXzeub6Wg8eP8ep61IcW1Rn9eyP8/y+kvYZfJOXpLclhODvG1H4Baoa/q3ouxQpYoKTQ1O8PVx4v10brEuWKJTa1mz1Y/zvC9my+DecHJrk+XW++WUvW/3PEewzRK34glET/fAPvMzBP4fK+AIdJ5u8JGlACMHFqzfxDzyEX2AI0XcfYGZqinOrZqqG79KaElYF92wnLT2dtl0GUKlcWXaunJOn0fy5y/fp0G81Q/u2ZOLo3EPFTp6L4aNB6xgxsA3jhrfLQ9VSQZJNXpLySAjB2UtX8Q8KwT8wlLsPHmFe1Ix2rZvj7dEOD+dWFC+m/f1s127z54fpC9i0cBourTT7XhZC0HnweqJi4gnz/ZySVhZvPD47W9BpwBoePn4u82n0hFFMoZQkbVAUBfv6dbGvX5fxIz/j1IUr+AWGsCcolP0hR7EwN8fN0QFvDxfcHB2wtHhzA82rXt7vs3D1Fmb+sR7nls00Gs3v+OsiJ8/FMGtCx1wbPMBW/3OcvXSf+VO8ZYM3ArmO5BVFqQKsA8oD2cAyIcQ8RVEaA0sBKyAK6CuEePam15IjeUlfZGdnc+LsRfwCQthzIIzHcU8oZmmBh1MrvD1daNe6BRbm+dsg12/fzfe/zmfD/Km0b9NCrXOSktNx7raUcmVKsFuNfJpniap8mmqVS7NrZT85M01PaPV2jaIoFYAKQohTiqKUACKBzsBa4GshRIiiKIOAGkKICW96LdnkJX2UlZXFsdPn8QsIYe+BcOITnmJVvBiezq3x9nTBpVWzfNnPNj0jA6eugyhjY43/mvlqNeBfFx1i4eoj+K3uT7OGuccXTJ4TxPJNEexdN5BG7+nH6mBJywFlQoj7QohTOb9/DlwGKgF1gdCcwwIBGQojGaQiRYrQtrk9v/3wJaf/2sKmhdPo5ObEgcMRDBgzEXvPnoyZPJODR06QkZmZ5/cpambGqEG9OX3xbw4cPpHr8VExT1i24TjdOjRQq8Ffj4pl1ZaT9PJuLBu8EdHowauiKNVRNfYGwF/Ab0KIXYqijAUmCyH+Zw6aoihDgaEAVatWbXb79u38qFuSCl16RgZhx0/jF3iI/YeO8DwpmdKlStLBtS2d3F1o06yxxhuYZ2Rm4txtEKVLlWTP2gVvHM0P+mobYRG3CPP9nPJl3jz9UwjBp1/6cPLsXcJ3yHwafVMgUcOKolgB24HROffeBwHDFUWJBEoA6a86TwixTAjRXAjRvEyZMnmpUZJ0UlEzM9wcHZg3+VvOBm5l9azJtGvdjJ37D9F7+Pc069CbcdPnczTyHFlZWWq9ppmpKV8O6sPZS1cJCj/+2uNCjt1kf8hVRg92zLXBAwSFX+fgkZuMHeokG7yRUWskryiKGbAb2C+EmP2Kz78DbBBCOLzpdeQ9eckYpKSmcfDICfwCQwgKO0ZKahrl7Gzo6OaEt0c7mjV67417IWRkZuLSbTAlSxRn3/pF/zOaz8jMwqP3CjIyNcunMTU1IWiLzKfRR1qdQqmo/oatBC7/s8ErilJWCPFIURQT4EdUM20kyehZWpjTwdWRDq6OJKekEBh2HP/AEDbu2Msqn11UKGdHJzdVFn6T+u/+TxM3MzXly8/6MnbyTAJCjvJ+uzb/+vyarZFcuxXH6tkf59rgAVZsOkFUzBM2LuglG7wRUmd2jSMQBpxHNYUS4AegDjA858++wDiRy4vJkbxkzBKTkgkIPYpfQAghxyJJz8igSsVyeLm74OXhTMN367xs+JmZWbh8PJjilpbs37j45cdj45Nw6rqUpg0rsWG+evk0zt3+oG3zajKfRo/JFa+SpGeePk9kf8gR/ANCCD1+isysLKpXqYiXuwveni68V7sG2/YEMfqnGayYMZEP2zsC/8yn+Yza1e1yfR+ZT2MY5IpXSdIzpUpY0aOTJz06eRKf8Iz9hw7jFxjC4nU+LFi9mdrVq9DB1ZESxYsxa9kG3ndpw4W/H7J51xmG9HFQq8FHnr/L9r0XGDGgtWzwRkyO5CVJh8Q9SWBPcDj+QSEcjTzHi+/PlTMmsXTDDW7dUT+fxmvAGu4/ek7o9mFYFTcviPIlLZEjeUkyELalrenXvRP9unfiUWw8e4LDCD58nMjz8Zw4G8PMHzuolU/z5+5znMnJp5EN3rjJkbwk6bjrUbG4dF8GwJ2IcTKfxgjJkbwkGbBSJf47clcNyt7ctOeuOEzck2TWzc199o1k+NRe8SpJUuEoY2vF4mmdAdgddPmNx16PimPl5hP09GpM43oyn0aSTV6S9IKX+3vUrWnH7OXhZGVlv/IYIQQ/zQ7E0sKM74e7FHCFkq6STV6S9ICJicLYoU5cj4pjV8ClVx7zIp9mzBBHythaFXCFkq6STV6S9EQH13d5r05Z5iwPJzPz36P5tPRMfpodRK1qNgzsmafnc5KBkk1ekvSEiYnC2CGO3IyOZ+f+i//63MrNJ4i684TJX3lQ1Ezm00j/JZu8JOmRD9rVpd47ZZmz4r+j+YexicxdeRgPpzq0b1OrkCuUdI1s8pKkR0xMFL4a6kTUnSf4/nUBgGkLDpKRkcWksW6FXJ2ki+Q8eUnSM++7vEODuuWYt+IwNSqXZtue8wzv35oaVWwKuzRJB8mRvCTpGUVR+GqYM1ExT+g3eivl7KwYNahN7idKRkk2eUnSQx5OtWlcrwLPEtP4YWR7mU8jvZa8XSNJekhRFGZO6Ehg6DW6ftigsMuRdJhs8pKkp+rVKUu9OmULuwxJx8nbNZIkSQZMNnlJkiQDJpu8JEmSAZNNXpIkyYDJJi9JkmTAZJOXJEkyYLLJS5IkGTDZ5CVJkgyYotoYuIDeTFEeA7cL7A1fzQ6ILeQaCpK8XsMmr9ewvbjeakKIMnl5gQJt8rpAUZSTQgij2TpHXq9hk9dr2PLjeuXtGkmSJAMmm7wkSZIBM8Ymv6ywCyhg8noNm7xew/bW12t09+QlSZKMiTGO5CVJkoyGbPKSJEkGzGiavKIo9oqiHFMU5YyiKCcVRXHI+biZoihrFUU5ryjKZUVRxhV2rW/rDdfaN+djL35lK4piX8jlvrXXXW/O5xopinJUUZSLOV9ji8KsNT+84etbXVGUlH98fZcWdq354U1f35zPV1UUJVFRlK8Lq8b89Iavr8M/vrZnFUXpotYLCiGM4hcQAHyY8/sOwKGc3/cBtuT8vhgQBVQv7Hq1ca3/75iGwM3CrlXLX1tT4BzQOOfPtkCRwq5Xi9dbHbhQ2PUV1PX+4/PbgT+Brwu7Vi1/fYsBpjm/rwA8evHnN/0ypu3/BFAy5/elgHv/+HhxRVFMAUsgHXhW8OXlq9dd6z/1BjYXWEXa9brr9QTOCSHOAggh4gqhNm1Q5+trSF57vYqidAZuAkkFX5bWvPJ6hRDJ/zjGIue4XBnN7BpFUd4D9gMKqttUbYQQtxVFMQPWA26o/qUcI4TQ62lar7vW/3fMDeAjIcSFQigxX73hazsaaAaUBcqg+ont90IrNJ+84XqrAxeBq6gGKj8KIcIKrdB88obrLQ4EAR7A10CiEGJm4VWaP970/asoSktgFVAN+FQIsSO31zOokbyiKEFA+Vd8ajyqJj5GCLFdUZQewErAHXAAsoCKQGkgTFGUICHEzQIqO0/yeK0vzm0JJOtTg8/j9ZoCjkALIBkIVhQlUggRXEBl51ker/c+UFUIEacoSjNgp6Io9YUQOv+TaR6vdzIwRwiRqChKwRWbD/L6/SuEOA7Uz/mHYK2iKPuEEKlvfC8jGsk/BayFEEJR/Y14KoQoqSjKIuCYEGJ9znGrgL+EEFsLs9638bpr/cfn5wCPhRDTCq3IfPSGr20v4AMhxICc4yYAqUKIGYVY7lvL7ev7j+MOobpPfbKga8xPb/j6hgFVcg6zBrKBiUKIhYVUar7Q4Ot7EPgmt6+v0cyuQXVfyyXn967AtZzfRwOuikpxoBVwpRDqy0+vu1YURTEBPga2FEJd2vK6690PNFIUpVjOMxcX4FIh1JffXnm9iqKUURSlSM7vawJ1UN2v1nevvF4hhJMQoroQojowF5im7w0+x+u+vjVy/h6jKEo1oC6qiSJvZFC3a3IxBJiX8z8pFRia8/FFwGrgAqp7YKuFEOcKp8R887prBXAGYnT9dpSGXnm9QogniqLMBk6geki1Vwixp/DKzDev+/o6A1MURclEdQvycyFEfCHVmJ/e9PfZEL3ueh2B7xVFyUD1U8sXQohcY5eN5naNJEmSMTKm2zWSJElGRzZ5SZIkAyabvCRJkgGTTV6SJMmAySYvSZJkwGSTlyRJMmCyyUuSJBmw/wOaYL9n1QKJCgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 29.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 30.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loop no 31.0 for tract no 4899 with population 758046.01760652\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 0 2.85864 3.31517 441788.6759 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 1 1.47689 1.77304 34720.1179 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 2 1.52016 1.23162 140302.1292 1\n",
      "wedge no, currentR,guessedR, wedgePop, overEdge? 3 2.58464 2.84966 141235.0946 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I looped 30 times on tract 4899, giving up w pop 758046.01760652\n",
      "I am working on tract number 4900 of 5160 tracts\n",
      "loop no 9.0 for tract no 4901 with population 765749.7006614247\n",
      "loop no 9.0 for tract no 4911 with population 738290.8165132643\n",
      "loop no 10.0 for tract no 4911 with population 744221.6814061166\n",
      "loop no 11.0 for tract no 4911 with population 748879.5930334559\n",
      "loop no 12.0 for tract no 4911 with population 753048.2739264807\n",
      "loop no 13.0 for tract no 4911 with population 759373.140835731\n",
      "loop no 14.0 for tract no 4911 with population 763380.9839760744\n",
      "I am working on tract number 4920 of 5160 tracts\n",
      "loop no 9.0 for tract no 4939 with population 919129.1118755771\n",
      "loop no 10.0 for tract no 4939 with population 867253.6447212648\n",
      "loop no 11.0 for tract no 4939 with population 621059.9454607046\n",
      "loop no 12.0 for tract no 4939 with population 665632.6589935502\n",
      "loop no 13.0 for tract no 4939 with population 801367.5292285845\n",
      "loop no 14.0 for tract no 4939 with population 783026.249520068\n",
      "loop no 15.0 for tract no 4939 with population 777269.7269743361\n",
      "loop no 16.0 for tract no 4939 with population 774104.179750334\n",
      "I am working on tract number 4940 of 5160 tracts\n",
      "loop no 9.0 for tract no 4954 with population 722911.7870831798\n",
      "loop no 10.0 for tract no 4954 with population 732491.8479850173\n",
      "loop no 11.0 for tract no 4954 with population 772394.7669102841\n",
      "loop no 9.0 for tract no 4957 with population 771886.1838909346\n",
      "I am working on tract number 4960 of 5160 tracts\n",
      "I am working on tract number 4980 of 5160 tracts\n",
      "I am working on tract number 5000 of 5160 tracts\n",
      "loop no 9.0 for tract no 5010 with population 767389.6573428382\n",
      "I am working on tract number 5020 of 5160 tracts\n",
      "I am working on tract number 5040 of 5160 tracts\n",
      "loop no 9.0 for tract no 5043 with population 771168.3701534583\n",
      "loop no 9.0 for tract no 5048 with population 586973.7203293728\n",
      "loop no 10.0 for tract no 5048 with population 796906.9475138164\n",
      "loop no 11.0 for tract no 5048 with population 741740.4810570724\n",
      "loop no 12.0 for tract no 5048 with population 755524.0424009901\n",
      "loop no 13.0 for tract no 5048 with population 763111.2756432623\n",
      "I am working on tract number 5060 of 5160 tracts\n",
      "I am working on tract number 5080 of 5160 tracts\n",
      "loop no 9.0 for tract no 5091 with population 674173.4487005479\n",
      "loop no 10.0 for tract no 5091 with population 763762.4377734432\n",
      "loop no 9.0 for tract no 5093 with population 768208.5194593109\n",
      "loop no 9.0 for tract no 5096 with population 749914.511204357\n",
      "loop no 10.0 for tract no 5096 with population 766796.6271903161\n",
      "I am working on tract number 5100 of 5160 tracts\n",
      "loop no 9.0 for tract no 5106 with population 761633.1486841901\n",
      "loop no 9.0 for tract no 5107 with population 766863.5412027838\n",
      "I am working on tract number 5120 of 5160 tracts\n",
      "loop no 9.0 for tract no 5135 with population 784155.2268466637\n",
      "loop no 10.0 for tract no 5135 with population 779175.5937857854\n",
      "loop no 11.0 for tract no 5135 with population 758503.411186156\n",
      "loop no 12.0 for tract no 5135 with population 762044.7256832465\n",
      "I am working on tract number 5140 of 5160 tracts\n",
      "Sum of weights over all precinct home districts should have been 1.000, but was  1.0002324678376133\n",
      "Average and max number of wedgePop loops per tract were:  6.415697674418604 31.0\n",
      "min,average,max of Home District areas were:  0.0 0.5798135155403557 3.296895210768186\n",
      "calculated statewide vote was 0.5131960595122301, should have been 0.517202215682034\n"
     ]
    }
   ],
   "source": [
    "# THIS LONG, SLOW BLOCK: GROW EACH TRACT'S HOME DISTRICT, calculate its GOP lean. Revamped from 1/7/22 nonperiodic_toyHD\n",
    "#  1/15 VERSION: WEDGE ANGLES ARE UNIFORM, wedgePop shortages are re-distributed uniformly\n",
    "#about  tracts/minute with 4 wedges, 5160 tracts, 6010 precincts\n",
    "nWedges = 4  #number of wedges per home district circle\n",
    "pi=3.1415926536\n",
    "wedgeTriAR = math.sin(pi/nWedges)*math.cos(pi/nWedges)  #wedge triangle area ratio; wedge area = wedgeTriAR * r * r\n",
    "angle = [0.]*nWedges\n",
    "angle2 = [0.]*nWedges\n",
    "pt1 = [Point(0,0)]*nWedges  #these four define the polygon wedge for a growing home district\n",
    "pt2 = [Point(0,0)]*nWedges\n",
    "pt3 = [Point(0,0)]*nWedges\n",
    "pt4 = [Point(0,0)]*nWedges\n",
    "oldR = [0.]*nWedges  #wedge radius from previous loop\n",
    "guessedR = [0.]*nWedges  #wedge radius if we extrapolate from population density of most recent wedge piece\n",
    "printPoly = [Polygon([(0,0),(0,1),(1,1)])]*nWedges #for debugging\n",
    "wedgeAngle = 2*pi / nWedges\n",
    "wedgePop = [0.]*nWedges\n",
    "tractLoopCounter = [0.]* nTracts  #this tracks how many loops per tract to get to target wedge Pop\n",
    "nearEdge = [0.]* nTracts   #not yet implemented; this will flag tracts near map edge for reprocessing\n",
    "tractUse = [0.] * nTracts  #this will store how much we use this tract in HD's vs. expectation\n",
    "precinctUse = [0.] * nPrecincts   #same, but for each precinct / VTD\n",
    "HDvPop = [0.]*nTracts\n",
    "HDvGOP = [0.]*nTracts  #GOP lean of each tract's \"home district\"\n",
    "HDweight = [0.]*nTracts  #relative weight of each district.  In absence of splits, will equal precinct pop\n",
    "HDarea = [0.]*nTracts  #***NOT YET VETTED geographical area of each home district\n",
    "targetWedgePop = avgDistrictPop / nWedges\n",
    "toler = 0.01  #adjustable - fractional slop in district population.  normally 0.01\n",
    "tolerPop = toler * avgDistrictPop  #absolute slop in district pop\n",
    "nLoopPrint = 8  #at this loop number, we alert user of problem\n",
    "nLoopSuperPrint = 20 # at this loop number, we print more details\n",
    "nLoopFix = 14 #at this loop number, we will shut off a low-pop active wedge\n",
    "nGiveUp = 30\n",
    "wrongPop = [0.]*nTracts\n",
    "normalGain = 0.8  #adjustable - a bit less than 1.0 for stability, how far we step relative to expected perfect guess\n",
    "tractPrintInterval = 20  #for tracking progress\n",
    "minTractArea = 0.00001 * origMAP.area / nTracts  #failsafe for later div-by-zero\n",
    "homePopDensity = avgGridDensity  #seed this\n",
    "\n",
    "for t in range(nTracts) :  #(nTracts):  #loop on each tract.  Start by resetting stats\n",
    "    gain = normalGain  #in case last precinct had convergence problems\n",
    "    debugPrint = \"Nah\"\n",
    "    if (t % tractPrintInterval) == 0 : \n",
    "        print(\"I am working on tract number {0} of {1} tracts\".format(t,nTracts) )\n",
    "    tractLoopCounter[t] = 0.  #for stability stats, will track how many times we need to loop for each tract\n",
    "    isActiveG = [0]*nGrids  #resets whether each grid is relevant to this tract (we turn on as we grow wedges)\n",
    "    if (tractArea[t] > minTractArea) :  #too lazy to indent everything.  We'll catch zero tractArea later\n",
    "        homePopDensity = tractPop[t]/tractArea[t]  #temporary - estimate the local density for initial step\n",
    "    tractCP = Point(tractGeom[t].centroid.x,tractGeom[t].centroid.y)  #shorthand for centroid of each tract\n",
    "    for nG in range(nGrids):\n",
    "        if gridGeom[nG].contains(tractCP) :  #which grid contains the centroid of this tract?  Turn it on!\n",
    "            isActiveG[nG] = 1\n",
    "            homeGridDensity = gridDensity[nG]\n",
    "    maxStartDensity = max(homePopDensity,homeGridDensity)\n",
    "    minR = (avgDistrictPop / maxStartDensity / pi)**0.5   # a circle's population = pi*r^2 * popdensity\n",
    "    tinyR = 0.1 * minR   #ensures we start with small, but not infinitesimal wedge populations \n",
    "    tinyArea = wedgeTriAR*tinyR*tinyR\n",
    "    guessedR = [ (avgDistrictPop / homeGridDensity / pi)**0.5 ]*nWedges  #*** IS THIS EVEN USED?  CORRECT?\n",
    "    randomAngle = random.uniform(0,2.*pi)  #imparts random orientation to our starting wedge\n",
    "    # ***GROW WEDGES SIMULTANEOUSLY via ARRAYS, SO WE CAN REACT ON FLY TO BOUNDARY STOPS\n",
    "    HDpop = 0.\n",
    "    sumPartialWedgePops = 0.  #this will track total pop of wedges that ran into a boundary before meeting quota\n",
    "    nActiveWedges = nWedges\n",
    "    targetWedgePop = avgDistrictPop / nWedges  #at beginning, all wedges are active\n",
    "    latestWedgeDensity = [0.]*nWedges  #this is the pop'n density of the wedge piece we just added or subtracted\n",
    "    wedgeComplete = [\"No\"]*nWedges\n",
    "    oldR = [0.]*nWedges   #for remembering last loop's wedge radius   \n",
    "    wedgePop = [0.]*nWedges\n",
    "    wedgeTotGOP = [0.]*nWedges\n",
    "    wedgeTotVote = [0.]*nWedges\n",
    "    isOverEdge = [0] *nWedges #each wedge is still fully inside map boundary\n",
    "    for nW in range(nWedges) :  #this loop: set up tiny wedges in each direction to seed each wedge loop\n",
    "        angle[nW] = nW*wedgeAngle+randomAngle   #local variable for orientation of start of wedge\n",
    "        angle2[nW] = angle[nW]+wedgeAngle      #local angle for clockwise end of wedge\n",
    "        pt1[nW] = tractCP\n",
    "        pt2[nW] = Point(tractCP.x+tinyR*math.cos(angle[nW]),  tractCP.y+tinyR*math.sin(angle[nW]) )\n",
    "        pt3[nW] = Point(tractCP.x+tinyR*math.cos(angle2[nW]), tractCP.y+tinyR*math.sin(angle2[nW]) )\n",
    "        wedgePoly = Polygon([pt1[nW], pt2[nW], pt3[nW] ])\n",
    "        wedgePop[nW] = tractPop[t]* tinyArea/max(tractArea[t],minTractArea)  #see above for simple math on starter wedge\n",
    "        if wedgePop[nW] > targetWedgePop :  #debug check\n",
    "            pause=input(\"error! tiny wedge gave overshot population  __\") #should rarely trigger this\n",
    "        # prior to entering while loop, need to pretend we had been through the loop and gotten below two values\n",
    "        oldR[nW] = tinyR\n",
    "        latestWedgeDensity[nW] = 3. * wedgePop[nW]/tinyArea   #the \"3\" is a white lie to keep first guessed R low\n",
    "        #print(wedgePoly,\"is our starter polygon for tract, wedge\",m,nW)\n",
    "    HDpop = np.sum(wedgePop)\n",
    "    if (tractPop[t] < minTractPop or tractArea[t] == 0): #go directly to jail, do not pass Go, this tract doesn't count\n",
    "        HDpop = avgDistrictPop\n",
    "    while abs (HDpop - avgDistrictPop) > tolerPop :  #until we've grown the home district to the right size...\n",
    "        for nW in range(nWedges) :  #for each wedge, we'll build to gain pop or shrink to lose population ...\n",
    "            if isOverEdge[nW] != 1:    #...except we skip underpopulated wedges with no room to grow\n",
    "                neededWedgePop = targetWedgePop - wedgePop[nW]  #note that target is not updated until all nW looped\n",
    "                neededWedgeArea = neededWedgePop / max(0.01*homeGridDensity, latestWedgeDensity[nW])  #avoid div-by-0\n",
    "                if (neededWedgeArea < -1.*oldR[nW]*oldR[nW]*wedgeTriAR) : #guard against complex guessedR\n",
    "                    neededWedgeArea = -1.*gain*oldR[nW]*oldR[nW]*wedgeTriAR  #forcing guessedR to be sqrt(positive no)\n",
    "                guessedR[nW] = (neededWedgeArea/wedgeTriAR + oldR[nW]*oldR[nW]) ** 0.5   #pop=pi(R2^2 -R1^2)* density\n",
    "                guessed_dr = guessedR[nW]-oldR[nW]  #estimated change in radius (+ or -)\n",
    "                dr = gain* guessed_dr  #we set gain < 1 for numerical stability, typically 0.7 or 0.8\n",
    "                if dr > 1 :  #we are growing a wedge piece\n",
    "                    outerR = oldR[nW] + dr\n",
    "                    innerR = oldR[nW]\n",
    "                    oldR[nW] = outerR    #for next loop around\n",
    "                else:    #this wedge piece will be subtracted from current wedge\n",
    "                    outerR = oldR[nW]\n",
    "                    innerR = oldR[nW] + dr  #remember, dr is negative here\n",
    "                    oldR[nW] = innerR             #for next loop around\n",
    "                #now, describe the new wedge to probe for precinct intersections ...\n",
    "                pt1[nW] = Point(tractCP.x+innerR*math.cos(angle[nW]), tractCP.y+innerR*math.sin(angle[nW]) )\n",
    "                pt2[nW] = Point(tractCP.x+outerR*math.cos(angle[nW]), tractCP.y+outerR*math.sin(angle[nW]) )\n",
    "                pt3[nW] = Point(tractCP.x+outerR*math.cos(angle2[nW]),tractCP.y+outerR*math.sin(angle2[nW]) )\n",
    "                pt4[nW] = Point(tractCP.x+innerR*math.cos(angle2[nW]),tractCP.y+innerR*math.sin(angle2[nW]) )\n",
    "                wedgePoly = Polygon([pt1[nW], pt2[nW], pt3[nW],pt4[nW]])  #true for wedge add-on or to-be-trimmed\n",
    "                \n",
    "                printPoly[nW] = wedgePoly  #for debugging\n",
    "                latestWedgePop = 0.  #will be used for to compute latest wedge density\n",
    "                usedTract = [0]*nTracts  #rezero lists of tracts and precincts that could straddle multiple grids\n",
    "                usedPrecinct = [0]*nPrecincts\n",
    "                for nG in range(nGrids) :  # loop over ACTIVE grids to look for intersecting tracts\n",
    "                    gridIntersxn = gridGeom[nG].intersection(wedgePoly)\n",
    "                    if (gridIntersxn.area > 0) :  #this grid is RELEVANT to this wedge\n",
    "                        for tt in range(nGridTracts[nG]) : #look for intersxns with all tracts in this grid\n",
    "                            nTT = gridTractNo[nG][tt] #shorthand for this tract's global tract no\n",
    "                            if(usedTract[nTT] == 0) :  #Did we not already look at this tract in another grid list?\n",
    "                                usedTract[nTT] = 1  #well, now we have!  Probe intersection with wedge\n",
    "                                overlap = tractGeom[nTT].intersection(wedgePoly).area\n",
    "                                if overlap > 0 :\n",
    "                                    fracArea = overlap/tractArea[nTT]\n",
    "                                    latestWedgePop  += fracArea*tractPop[nTT]  #always positive (used in density calc)  \n",
    "                                    tractUse[nTT] += np.sign(dr)*overlap/tractArea[nTT] * tractPop[t]/avgDistrictPop\n",
    "                        # found all possible tract overlaps with this increment / decrement to this wedge.\n",
    "                        for pp in range(nGridPrecincts[nG]):  #same comments as above loop, but now for precincts to get R lean\n",
    "                            nPP = gridPrecinctNo[nG][pp]\n",
    "                            if usedPrecinct[nPP] == 0  :\n",
    "                                usedPrecinct[nPP] = 1\n",
    "                                overlap = vtdGeom[nPP].intersection(wedgePoly).area\n",
    "                                if overlap > 0 :\n",
    "                                    fracArea = overlap/vtdArea[nPP]\n",
    "                                    wedgeTotGOP[nW] += np.sign(dr)*fracArea*vtdGOP[nPP]*vtdPop[nPP]\n",
    "                                    wedgeTotVote[nW] += np.sign(dr)*fracArea*vtdPop[nPP]\n",
    "                                    precinctUse[nPP] += np.sign(dr)*overlap/vtdArea[nPP] * tractPop[t]/avgDistrictPop\n",
    "                        \n",
    "                wedgePop[nW] += np.sign(dr)*latestWedgePop\n",
    "                \n",
    "                if wedgePoly.area > tinyArea :  #don't update density if we barely changed wedge area (div-by-0 risk)\n",
    "                    latestWedgeDensity[nW] = latestWedgePop/wedgePoly.area  #pop density for this latest piece\n",
    "                if wedgePop[nW] < targetWedgePop : #if we plan to increase wedge size, stop if we're beyond convex hull boundary\n",
    "                    leadingEdge = LineString([pt2[nW],pt3[nW]])\n",
    "                    if leadingEdge.intersects(MAP) :  #still room to grow in part of edge, keep going\n",
    "                        gerrymandering = \"evil\"  #just sayin....\n",
    "                    else:  #our wedge is fully beyond the map.  since map is convex, give up on more map intersection\n",
    "                        isOverEdge[nW] = 1\n",
    "                        nActiveWedges -= 1\n",
    "                        sumPartialWedgePops += wedgePop[nW]  #below line is a debug\n",
    "                        # print(\"a wedge of tract {0} ({1},{2}) over boundary\".format(m,tractCP.x,tractCP.y) )\n",
    "                        \n",
    "        # end of nW loop to adjust all wedge populations by growing or trimming wedges, IDing over-edge wedges\n",
    "        targetWedgePop = (avgDistrictPop - sumPartialWedgePops )/nActiveWedges  #update for beyond-map changes\n",
    "        HDpop = np.sum(wedgePop)\n",
    "        tractLoopCounter[t] +=1   # last line in while loop for this tract's home district pop\n",
    "        \n",
    "        # **** BELOW IS TO CORRECT FOR NONCONVERGENCE *****\n",
    "        if(tractLoopCounter[t] > nLoopPrint):  #may be becoming unstable. Alert user,   and reduce gain\n",
    "            print(\"loop no {0} for tract no {1} with population {2}\".format(tractLoopCounter[t],t,HDpop) )\n",
    "            gain = max(0.4,gain*0.9)  #attenuate gain, but no lower than 0.6 so we can converge in <20 iterations\n",
    "        if (tractLoopCounter[t] == nLoopFix) : #find and shut off the least populated \"active\" wedge\n",
    "            problemWedgeNo = 0\n",
    "            maxOffPop = 0.\n",
    "            for nW in range(nWedges):\n",
    "                if isOverEdge[nW]==0 and abs(targetWedgePop-wedgePop[nW]) > maxOffPop  : #worst active wedge so far\n",
    "                    problemWedgeNo = nW\n",
    "                    maxOffPop = abs(targetWedgePop - wedgePop[nW])  #update worst differential\n",
    "            isOverEdge[problemWedgeNo] = 1  #finished loop, ID'd worst wedge.  Cut it off.\n",
    "            nActiveWedges -= 1\n",
    "            sumPartialWedgePops += wedgePop[problemWedgeNo]\n",
    "            targetWedgePop = (avgDistrictPop - sumPartialWedgePops )/nActiveWedges \n",
    "        if (tractLoopCounter[t] > nLoopSuperPrint) :\n",
    "            for nWW in range(nWedges):                \n",
    "                print(\"wedge no, currentR,guessedR, wedgePop, overEdge?\",nWW,str(round(oldR[nWW],5)), \n",
    "                      str(round(guessedR[nWW],5)), str(round(wedgePop[nWW],4)),isOverEdge[nWW])   #debug\n",
    "                x, y = printPoly[nWW].exterior.xy     #wedge debugging .....\n",
    "                plt.plot(x, y, c=(0.1, 0.2, 0.02+float(nWW)/nWedges) )\n",
    "            plt.show()\n",
    "        if(tractLoopCounter[t] > nGiveUp):\n",
    "            print(\"I looped {0} times on tract {1}, giving up w pop {2}\".format(nGiveUp,t,HDpop) )\n",
    "            wrongPop[t] = HDpop  #this will flag this HD as triaged\n",
    "            HDpop = avgDistrictPop\n",
    "        # *** END OF TRIAGE FOR NONCONVERGENCE\n",
    "        \n",
    "    # END OF WHILE LOOP --> we are within tolerance of avgDistrictPop. Finalize this tract's Home District stats\n",
    "    if (tractPop[t] < minTractPop or tractArea[t] == 0):  #we bypassed the big loop; this tract is inconsequential\n",
    "        HDvPop[t] = HDpop  #a white lie\n",
    "        HDvGOP[t] = 0.5  #a white lie\n",
    "        HDweight[t] = 0.000001  #to suppress this in total stats\n",
    "    else :\n",
    "        HDvPop[t] = np.sum(wedgePop)\n",
    "        HDvGOP[t] = np.sum(wedgeTotGOP)/np.sum(wedgeTotVote)\n",
    "        HDweight[t] = tractPop[t]/np.sum(tractPop)\n",
    "        nearEdge[t] = nWedges - nActiveWedges  #flagging the number of wedges that were not completely pop-filled\n",
    "        if (debugPrint == \"sorta\"):\n",
    "            print(t,tractCP.x,tractCP.y,HDvPop[t],HDvGOP[t],HDweight[t],\"t, (x,y), HDpop, GOP, HDwt\")\n",
    "        centerPt = tractCP\n",
    "        outerPt2 = Point(tractCP.x+oldR[0]*math.cos(angle[0]), tractCP.y+oldR[0]*math.sin(angle[0]) )\n",
    "        outerPt3 = Point(tractCP.x+oldR[0]*math.cos(angle2[0]),tractCP.y+oldR[0]*math.sin(angle2[0]) )\n",
    "        HDpolly = Polygon([centerPt,outerPt2,outerPt3])   #initiate a polygon that will be the home district\n",
    "        for nW in range(1,nWedges):\n",
    "            outerPt2 = Point(tractCP.x+oldR[nW]*math.cos(angle[nW]), tractCP.y+oldR[nW]*math.sin(angle[nW]) )\n",
    "            outerPt3 = Point(tractCP.x+oldR[nW]*math.cos(angle2[nW]),tractCP.y+oldR[nW]*math.sin(angle2[nW]) )\n",
    "            HDpolly =  HDpolly.union( Polygon([centerPt,outerPt2,outerPt3]) )  #add this wedge to HD district polygon\n",
    "        HDpolly = HDpolly.intersection(origMAP)  #exclude map's convex hull and buffer, just the original union of precincts\n",
    "        HDarea[t] = HDpolly.area #would need to track wedge shapes better to compute a final area \n",
    "\n",
    "    # end of loop on this tract\n",
    "for t in range(nTracts):\n",
    "    if(wrongPop[t] > 0):\n",
    "        HDvPop[t] = wrongPop[t]  #undo the lie that got us out of the loop early\n",
    "HDsumWeight = np.sum(HDweight)\n",
    "print(\"Sum of weights over all precinct home districts should have been 1.000, but was \",HDsumWeight)\n",
    "print(\"Average and max number of wedgePop loops per tract were: \",np.average(tractLoopCounter),np.max(tractLoopCounter) )\n",
    "print(\"min,average,max of Home District areas were: \",np.min(HDarea),np.average(HDarea),np.max(HDarea) )\n",
    "stateGOP2 = 0.\n",
    "for t in range(nTracts):\n",
    "    HDweight[t] = HDweight[t]/HDsumWeight   #renormalizing\n",
    "    stateGOP2 += HDweight[t]*HDvGOP[t]\n",
    "print(\"calculated statewide vote was {0}, should have been {1}\".format(stateGOP2, stateGOP) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 324,
   "id": "b8a28a76-d6a4-412c-a9ab-35703e0b974f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n"
     ]
    }
   ],
   "source": [
    "print(np.sum(HDweight))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 325,
   "id": "24a347a9-8220-4c1a-bcfc-14923f1f98f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sum of weights over all precinct home districs should have been 1.000, but was  1.0002324678376133\n",
      "Average and max number of wedgePop loops per tract were:  6.415697674418604 31.0\n",
      "min,average,max of Home District areas were:  0.0 0.5798135155403557 3.296895210768186\n"
     ]
    }
   ],
   "source": [
    "#use this line to document progress\n",
    "#started 1:32pm 1/16/22 750 tracts by 2:07, 2100 by 3:15, 3866 by 4:43, 4900 by 7:00, done by 7:11\n",
    "print(\"Sum of weights over all precinct home districs should have been 1.000, but was \",HDsumWeight)\n",
    "print(\"Average and max number of wedgePop loops per tract were: \",np.average(tractLoopCounter),np.max(tractLoopCounter) )\n",
    "print(\"min,average,max of Home District areas were: \",np.min(HDarea),np.average(HDarea),np.max(HDarea) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 326,
   "id": "c55ac5fd-7402-47b9-9093-10b9fe0912b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#LET'S WRITE AN OUTPUT FILE BEFORE WE FORGET :-)\n",
    "# now convert output to pandas dataframe and export\n",
    "STATE = \"FL\"\n",
    "tractCPx = [0.]*nTracts\n",
    "tractCPy = [0.]*nTracts\n",
    "tractNo = [0.]*nTracts\n",
    "for t in range(nTracts):\n",
    "    tractCPx[t]=tractGeom[t].centroid.x\n",
    "    tractCPy[t]=tractGeom[t].centroid.y\n",
    "    tractNo[t]=t\n",
    "paramList = [\"STATE\",\"stateGOP\",\"nDistricts\",\"nTracts\",\"nPrecincts\",\"nWedges\",\"popn-toler\"]\n",
    "paramValues = [STATE,stateGOP, nDistricts, nTracts,nPrecincts,nWedges, toler]\n",
    "for i in range(nTracts-len(paramList)):\n",
    "    paramList.append(\".\")\n",
    "    paramValues.append(-99)\n",
    "df = pd.DataFrame( {\"paramList\": paramList,\"paramValues\":paramValues,\"HD-pop\":HDvPop,\"HDvGOP\":HDvGOP,\n",
    "                    \"HDwt\":HDweight,\"HDarea\":HDarea, \"tractNo\":tractNo,\"Loops\":tractLoopCounter,\"tractPop\":tractPop,\n",
    "                   \"centroid x\":tractCPx,\"centroid y\":tractCPy,\"tractUse\":tractUse,\"nearEdge\":nearEdge,\n",
    "                   \"wrongPop\":wrongPop} ) \n",
    "\n",
    "outname = STATE+\"_nD\"+str(nDistricts)+\"tol\"+str(toler)+\"nW\"+str(nWedges)+\".csv\"\n",
    "outpath = \"state_HD_output/\"+outname\n",
    "df.to_csv(outpath)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 342,
   "id": "c4449da0-47a9-40cc-a585-8288447290e6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "167 4.3 ( -80.10139515814367 26.21649460283833 ) 0.42670940772445526 t, pop/target,(x,y), pctR\n",
      "474 0.98 ( -80.1515675163007 26.10340061176503 ) 0.6710238222635215 t, pop/target,(x,y), pctR\n",
      "1454 1.52 ( -85.93701111288497 30.951540298931487 ) 0.41524448097299915 t, pop/target,(x,y), pctR\n",
      "1497 1.07 ( -81.69067891337242 26.62730117184252 ) 0.4770602556336929 t, pop/target,(x,y), pctR\n",
      "1591 0.98 ( -81.95026859596302 26.56768985671524 ) 0.6665909161950089 t, pop/target,(x,y), pctR\n",
      "1592 0.94 ( -81.93662411951773 26.60145246935961 ) 0.6740960249982616 t, pop/target,(x,y), pctR\n",
      "1622 5.69 ( -82.64813228234677 29.47993955981873 ) 0.4298238380540196 t, pop/target,(x,y), pctR\n",
      "2224 3.03 ( -82.7688313870705 27.921516737276477 ) 0.4202597030530061 t, pop/target,(x,y), pctR\n",
      "2230 1.11 ( -82.80954135483299 27.913152613356022 ) 0.5575614036130331 t, pop/target,(x,y), pctR\n",
      "2252 1.41 ( -82.8454906250075 27.853391296511173 ) 0.536541402878683 t, pop/target,(x,y), pctR\n",
      "2257 4.19 ( -82.78138461881379 27.95263148374316 ) 0.3914148669815983 t, pop/target,(x,y), pctR\n",
      "4635 4.48 ( -80.39337058487736 25.512243157365855 ) 0.4496474695111592 t, pop/target,(x,y), pctR\n",
      "4899 0.99 ( -80.08473052935116 26.833220199464098 ) 0.6638162235058149 t, pop/target,(x,y), pctR\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "we will redo tract numbers  [167, 1454, 1497, 1622, 2224, 2230, 2252, 2257, 4635]\n"
     ]
    }
   ],
   "source": [
    "# Looking for nonconvergers ...\n",
    "counter = 0.\n",
    "for t in range (nTracts) :\n",
    "    if wrongPop[t] > 0 :\n",
    "        ratio = round(wrongPop[t]/avgDistrictPop,2)\n",
    "        tractX = vtdGeom[t].centroid.x\n",
    "        tractY = vtdGeom[t].centroid.y        \n",
    "        print(t, ratio,\"(\",tractX,tractY,\")\",HDvGOP[t], \"t, pop/target,(x,y), pctR\")\n",
    "        if notPolyVTD[t] == 0 :\n",
    "            x,y = vtdGeom[t].exterior.xy\n",
    "            plt.plot(x,y)\n",
    "            plt.text(vtdGeom[t].centroid.x+0.0, vtdGeom[t].centroid.y+0.0,ratio, fontsize=9)\n",
    "        else :\n",
    "            plt.text(vtdGeom[t].centroid.x, vtdGeom[t].centroid.y,ratio, fontsize=9)\n",
    "            for geom in vtdGeom[t].geoms:\n",
    "                x,y = geom.exterior.xy\n",
    "                plt.plot(x,y)\n",
    "        if (ratio < 0.9 or ratio > 1.0) :  #these we will redo\n",
    "            if counter == 0 :  #first redo\n",
    "                redo = [t]\n",
    "            else :\n",
    "                redo.append(t)\n",
    "            counter+= 1\n",
    "\n",
    "x,y = MAP.exterior.xy\n",
    "plt.plot(x,y,c=\"purple\")\n",
    "plt.show()\n",
    "print(\"we will redo tract numbers \",redo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 346,
   "id": "e98d9bf6-3bfd-45de-8ed6-2b5b723aaa2f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "finished looping on redo of tract  167\n",
      "finished looping on redo of tract  1454\n",
      "finished looping on redo of tract  1497\n",
      "finished looping on redo of tract  1622\n",
      "finished looping on redo of tract  2224\n",
      "finished looping on redo of tract  2230\n",
      "finished looping on redo of tract  2252\n",
      "finished looping on redo of tract  2257\n",
      "finished looping on redo of tract  4635\n"
     ]
    }
   ],
   "source": [
    "# REDO OF HOME DISTRICT CODE FOR SELECTED TRACTS THAT DID NOT CONVERGE  #1/16/22 -- all these converge no problem, 10sec each\n",
    "#redo = [  ,   ,]   #see above for how we selected the tract NUMBERS TO REDO HERE\n",
    "nRedos = len(redo)\n",
    "oldR = [0.]*nWedges  #wedge radius from previous loop\n",
    "guessedR = [0.]*nWedges  #wedge radius if we extrapolate from population density of most recent wedge piece\n",
    "printPoly = [Polygon([(0,0),(0,1),(1,1)])]*nWedges #for debugging\n",
    "wedgeAngle = 2*pi / nWedges\n",
    "wedgePop = [0.]*nWedges\n",
    "redotractLoopCounter = [0.]* nTracts  #this tracks how many loops per tract to get to target wedge Pop\n",
    "redonearEdge = [0.]* nTracts   #not yet implemented; this will flag tracts near map edge for reprocessing\n",
    "#tractUse = [0.] * nTracts  #for redos, do not track usage -- cannot correct this\n",
    "#precinctUse = [0.] * nPrecincts   \n",
    "redoHDvPop = [0.]*nRedos\n",
    "redoHDvGOP = [0.]*nRedos  #GOP lean of each tract's \"home district\"\n",
    "redoHDweight = [0.]*nRedos  #relative weight of each district.  In absence of splits, will equal precinct pop\n",
    "redoHDarea = [0.]*nRedos  #***NOT YET VETTED geographical area of each home district\n",
    "targetWedgePop = avgDistrictPop / nWedges\n",
    "toler = 0.01  #adjustable - fractional slop in district population.  normally 0.01\n",
    "tolerPop = toler * avgDistrictPop  #absolute slop in district pop\n",
    "nLoopPrint = 8  #at this loop number, we alert user of problem\n",
    "nLoopSuperPrint = 20 # at this loop number, we print more details\n",
    "nLoopFix = 14 #at this loop number, we will shut off a low-pop active wedge\n",
    "nGiveUp = 30\n",
    "wrongPop = [0.]*nTracts\n",
    "normalGain = 0.5  #adjustable - start low for these problem tracts\n",
    "tractPrintInterval = 24  #for tracking progress\n",
    "minTractArea = 0.00001 * origMAP.area / nTracts  #failsafe for later div-by-zero\n",
    "homePopDensity = avgGridDensity  #seed this\n",
    "\n",
    "for redoNumber in range(nRedos) :  #loop only on tracts specified in line at beginning of this block\n",
    "    t = redo[redoNumber]\n",
    "    gain = normalGain  #in case last precinct had convergence problems\n",
    "    debugPrint = \"Nah\"\n",
    "    if (t % tractPrintInterval) == 0 : \n",
    "        print(\"I am working on tract number {0} of {1} tracts\".format(t,nTracts) )\n",
    "    redotractLoopCounter[t] = 0.  #for stability stats, will track how many times we need to loop for each tract\n",
    "    isActiveG = [0]*nGrids  #resets whether each grid is relevant to this tract (we turn on as we grow wedges)\n",
    "    if (tractArea[t] > minTractArea) :  #too lazy to indent everything.  We'll catch zero tractArea later\n",
    "        homePopDensity = tractPop[t]/tractArea[t]  #temporary - estimate the local density for initial step\n",
    "    tractCP = Point(tractGeom[t].centroid.x,tractGeom[t].centroid.y)  #shorthand for centroid of each tract\n",
    "    for nG in range(nGrids):\n",
    "        if gridGeom[nG].contains(tractCP) :  #which grid contains the centroid of this tract?  Turn it on!\n",
    "            isActiveG[nG] = 1\n",
    "            homeGridDensity = gridDensity[nG]\n",
    "    maxStartDensity = max(homePopDensity,homeGridDensity)\n",
    "    minR = (avgDistrictPop / maxStartDensity / pi)**0.5   # a circle's population = pi*r^2 * popdensity\n",
    "    tinyR = 0.1 * minR   #ensures we start with small, but not infinitesimal wedge populations \n",
    "    tinyArea = wedgeTriAR*tinyR*tinyR\n",
    "    guessedR = [ (avgDistrictPop / homeGridDensity / pi)**0.5 ]*nWedges  #*** IS THIS EVEN USED?  CORRECT?\n",
    "    randomAngle = random.uniform(0,2.*pi)  #imparts random orientation to our starting wedge\n",
    "    # ***GROW WEDGES SIMULTANEOUSLY via ARRAYS, SO WE CAN REACT ON FLY TO BOUNDARY STOPS\n",
    "    HDpop = 0.\n",
    "    sumPartialWedgePops = 0.  #this will track total pop of wedges that ran into a boundary before meeting quota\n",
    "    nActiveWedges = nWedges\n",
    "    targetWedgePop = avgDistrictPop / nWedges  #at beginning, all wedges are active\n",
    "    latestWedgeDensity = [0.]*nWedges  #this is the pop'n density of the wedge piece we just added or subtracted\n",
    "    wedgeComplete = [\"No\"]*nWedges\n",
    "    oldR = [0.]*nWedges   #for remembering last loop's wedge radius   \n",
    "    wedgePop = [0.]*nWedges\n",
    "    wedgeTotGOP = [0.]*nWedges\n",
    "    wedgeTotVote = [0.]*nWedges\n",
    "    isOverEdge = [0] *nWedges #each wedge is still fully inside map boundary\n",
    "    for nW in range(nWedges) :  #this loop: set up tiny wedges in each direction to seed each wedge loop\n",
    "        angle[nW] = nW*wedgeAngle+randomAngle   #local variable for orientation of start of wedge\n",
    "        angle2[nW] = angle[nW]+wedgeAngle      #local angle for clockwise end of wedge\n",
    "        pt1[nW] = tractCP\n",
    "        pt2[nW] = Point(tractCP.x+tinyR*math.cos(angle[nW]),  tractCP.y+tinyR*math.sin(angle[nW]) )\n",
    "        pt3[nW] = Point(tractCP.x+tinyR*math.cos(angle2[nW]), tractCP.y+tinyR*math.sin(angle2[nW]) )\n",
    "        wedgePoly = Polygon([pt1[nW], pt2[nW], pt3[nW] ])\n",
    "        wedgePop[nW] = tractPop[t]* tinyArea/max(tractArea[t],minTractArea)  #see above for simple math on starter wedge\n",
    "        if wedgePop[nW] > targetWedgePop :  #debug check\n",
    "            pause=input(\"error! tiny wedge gave overshot population  __\") #should rarely trigger this\n",
    "        # prior to entering while loop, need to pretend we had been through the loop and gotten below two values\n",
    "        oldR[nW] = tinyR\n",
    "        latestWedgeDensity[nW] = 3. * wedgePop[nW]/tinyArea   #the \"3\" is a white lie to keep first guessed R low\n",
    "        #print(wedgePoly,\"is our starter polygon for tract, wedge\",m,nW)\n",
    "    HDpop = np.sum(wedgePop)\n",
    "    if (tractPop[t] < minTractPop or tractArea[t] == 0): #go directly to jail, do not pass Go, this tract doesn't count\n",
    "        HDpop = avgDistrictPop\n",
    "    while abs (HDpop - avgDistrictPop) > tolerPop :  #until we've grown the home district to the right size...\n",
    "        for nW in range(nWedges) :  #for each wedge, we'll build to gain pop or shrink to lose population ...\n",
    "            if isOverEdge[nW] != 1:    #...except we skip underpopulated wedges with no room to grow\n",
    "                neededWedgePop = targetWedgePop - wedgePop[nW]  #note that target is not updated until all nW looped\n",
    "                neededWedgeArea = neededWedgePop / max(0.01*homeGridDensity, latestWedgeDensity[nW])  #avoid div-by-0\n",
    "                if (neededWedgeArea < -1.*oldR[nW]*oldR[nW]*wedgeTriAR) : #guard against complex guessedR\n",
    "                    neededWedgeArea = -1.*gain*oldR[nW]*oldR[nW]*wedgeTriAR  #forcing guessedR to be sqrt(positive no)\n",
    "                guessedR[nW] = (neededWedgeArea/wedgeTriAR + oldR[nW]*oldR[nW]) ** 0.5   #pop=pi(R2^2 -R1^2)* density\n",
    "                guessed_dr = guessedR[nW]-oldR[nW]  #estimated change in radius (+ or -)\n",
    "                dr = gain* guessed_dr  #we set gain < 1 for numerical stability, typically 0.7 or 0.8\n",
    "                if dr > 1 :  #we are growing a wedge piece\n",
    "                    outerR = oldR[nW] + dr\n",
    "                    innerR = oldR[nW]\n",
    "                    oldR[nW] = outerR    #for next loop around\n",
    "                else:    #this wedge piece will be subtracted from current wedge\n",
    "                    outerR = oldR[nW]\n",
    "                    innerR = oldR[nW] + dr  #remember, dr is negative here\n",
    "                    oldR[nW] = innerR             #for next loop around\n",
    "                #now, describe the new wedge to probe for precinct intersections ...\n",
    "                pt1[nW] = Point(tractCP.x+innerR*math.cos(angle[nW]), tractCP.y+innerR*math.sin(angle[nW]) )\n",
    "                pt2[nW] = Point(tractCP.x+outerR*math.cos(angle[nW]), tractCP.y+outerR*math.sin(angle[nW]) )\n",
    "                pt3[nW] = Point(tractCP.x+outerR*math.cos(angle2[nW]),tractCP.y+outerR*math.sin(angle2[nW]) )\n",
    "                pt4[nW] = Point(tractCP.x+innerR*math.cos(angle2[nW]),tractCP.y+innerR*math.sin(angle2[nW]) )\n",
    "                wedgePoly = Polygon([pt1[nW], pt2[nW], pt3[nW],pt4[nW]])  #true for wedge add-on or to-be-trimmed\n",
    "                \n",
    "                printPoly[nW] = wedgePoly  #for debugging\n",
    "                latestWedgePop = 0.  #will be used for to compute latest wedge density\n",
    "                usedTract = [0]*nTracts  #rezero lists of tracts and precincts that could straddle multiple grids\n",
    "                usedPrecinct = [0]*nPrecincts\n",
    "                for nG in range(nGrids) :  # loop over ACTIVE grids to look for intersecting tracts\n",
    "                    gridIntersxn = gridGeom[nG].intersection(wedgePoly)\n",
    "                    if (gridIntersxn.area > 0) :  #this grid is RELEVANT to this wedge\n",
    "                        for tt in range(nGridTracts[nG]) : #look for intersxns with all tracts in this grid\n",
    "                            nTT = gridTractNo[nG][tt] #shorthand for this tract's global tract no\n",
    "                            if(usedTract[nTT] == 0) :  #Did we not already look at this tract in another grid list?\n",
    "                                usedTract[nTT] = 1  #well, now we have!  Probe intersection with wedge\n",
    "                                overlap = tractGeom[nTT].intersection(wedgePoly).area\n",
    "                                if overlap > 0 :\n",
    "                                    fracArea = overlap/tractArea[nTT]\n",
    "                                    latestWedgePop  += fracArea*tractPop[nTT]  #always positive (used in density calc)  \n",
    "                                    # tractUse[nTT] += np.sign(dr)*overlap/tractArea[nTT] * tractPop[t]/avgDistrictPop #SKIP\n",
    "                        # found all possible tract overlaps with this increment / decrement to this wedge.\n",
    "                        for pp in range(nGridPrecincts[nG]):  #same comments as above loop, but now for precincts to get R lean\n",
    "                            nPP = gridPrecinctNo[nG][pp]\n",
    "                            if usedPrecinct[nPP] == 0  :\n",
    "                                usedPrecinct[nPP] = 1\n",
    "                                overlap = vtdGeom[nPP].intersection(wedgePoly).area\n",
    "                                if overlap > 0 :\n",
    "                                    fracArea = overlap/vtdArea[nPP]\n",
    "                                    wedgeTotGOP[nW] += np.sign(dr)*fracArea*vtdGOP[nPP]*vtdPop[nPP]\n",
    "                                    wedgeTotVote[nW] += np.sign(dr)*fracArea*vtdPop[nPP]\n",
    "                                    # precinctUse[nPP] += np.sign(dr)*overlap/vtdArea[nPP] * tractPop[t]/avgDistrictPop  #SKIP\n",
    "                        \n",
    "                wedgePop[nW] += np.sign(dr)*latestWedgePop\n",
    "                \n",
    "                if wedgePoly.area > tinyArea :  #don't update density if we barely changed wedge area (div-by-0 risk)\n",
    "                    latestWedgeDensity[nW] = latestWedgePop/wedgePoly.area  #pop density for this latest piece\n",
    "                if wedgePop[nW] < targetWedgePop : #if we plan to increase wedge size, stop if we're beyond convex hull boundary\n",
    "                    leadingEdge = LineString([pt2[nW],pt3[nW]])\n",
    "                    if leadingEdge.intersects(MAP) :  #still room to grow in part of edge, keep going\n",
    "                        gerrymandering = \"evil\"  #just sayin....\n",
    "                    else:  #our wedge is fully beyond the map.  since map is convex, give up on more map intersection\n",
    "                        isOverEdge[nW] = 1\n",
    "                        nActiveWedges -= 1\n",
    "                        sumPartialWedgePops += wedgePop[nW]  #below line is a debug\n",
    "                        # print(\"a wedge of tract {0} ({1},{2}) over boundary\".format(m,tractCP.x,tractCP.y) )\n",
    "                        \n",
    "        # end of nW loop to adjust all wedge populations by growing or trimming wedges, IDing over-edge wedges\n",
    "        targetWedgePop = (avgDistrictPop - sumPartialWedgePops )/nActiveWedges  #update for beyond-map changes\n",
    "        HDpop = np.sum(wedgePop)\n",
    "        tractLoopCounter[t] +=1   # last line in while loop for this tract's home district pop\n",
    "        \n",
    "        # **** BELOW IS TO CORRECT FOR NONCONVERGENCE *****\n",
    "        if(redotractLoopCounter[t] > nLoopPrint):  #may be becoming unstable. Alert user,   and reduce gain\n",
    "            print(\"loop no {0} for tract no {1} with population {2}\".format(tractLoopCounter[t],t,HDpop) )\n",
    "            gain = max(0.4,gain*0.9)  #attenuate gain, but no lower than 0.6 so we can converge in <20 iterations\n",
    "        if (redotractLoopCounter[t] == nLoopFix) : #find and shut off the least populated \"active\" wedge\n",
    "            problemWedgeNo = 0\n",
    "            maxOffPop = 0.\n",
    "            for nW in range(nWedges):\n",
    "                if isOverEdge[nW]==0 and abs(targetWedgePop-wedgePop[nW]) > maxOffPop  : #worst active wedge so far\n",
    "                    problemWedgeNo = nW\n",
    "                    maxOffPop = abs(targetWedgePop - wedgePop[nW])  #update worst differential\n",
    "            isOverEdge[problemWedgeNo] = 1  #finished loop, ID'd worst wedge.  Cut it off.\n",
    "            nActiveWedges -= 1\n",
    "            sumPartialWedgePops += wedgePop[problemWedgeNo]\n",
    "            targetWedgePop = (avgDistrictPop - sumPartialWedgePops )/nActiveWedges \n",
    "        if (redotractLoopCounter[t] > nLoopSuperPrint) :\n",
    "            for nWW in range(nWedges):                \n",
    "                print(\"wedge no, currentR,guessedR, wedgePop, overEdge?\",nWW,str(round(oldR[nWW],5)), \n",
    "                      str(round(guessedR[nWW],5)), str(round(wedgePop[nWW],4)),isOverEdge[nWW])   #debug\n",
    "                x, y = printPoly[nWW].exterior.xy     #wedge debugging .....\n",
    "                plt.plot(x, y, c=(0.1, 0.2, 0.02+float(nWW)/nWedges) )\n",
    "            plt.show()\n",
    "        if(redotractLoopCounter[t] > nGiveUp):\n",
    "            print(\"I looped {0} times on tract {1}, giving up w pop {2}\".format(nGiveUp,t,HDpop) )\n",
    "            wrongPop[t] = HDpop  #this will flag this HD as triaged\n",
    "            HDpop = avgDistrictPop\n",
    "        # *** END OF TRIAGE FOR NONCONVERGENCE\n",
    "        \n",
    "    # END OF WHILE LOOP --> we are within tolerance of avgDistrictPop. Finalize this tract's Home District stats\n",
    "    if (tractPop[t] < minTractPop or tractArea[t] == 0):  #we bypassed the big loop; this tract is inconsequential\n",
    "        redoHDvPop[redoNumber] = HDpop  #a white lie\n",
    "        redoHDvGOP[redoNumber] = 0.5  #a white lie\n",
    "        redoHDweight[redoNumber] = 0.000001  #to suppress this in total stats\n",
    "    else :\n",
    "        redoHDvPop[redoNumber] = np.sum(wedgePop)\n",
    "        redoHDvGOP[redoNumber] = np.sum(wedgeTotGOP)/np.sum(wedgeTotVote)\n",
    "        redoHDweight[redoNumber] = tractPop[t]/np.sum(tractPop)\n",
    "        redonearEdge[redoNumber] = nWedges - nActiveWedges  #flagging the number of wedges that were not completely pop-filled\n",
    "        if (debugPrint == \"sorta\"):\n",
    "            print(t,tractCP.x,tractCP.y,HDvPop[t],HDvGOP[t],HDweight[t],\"t, (x,y), HDpop, GOP, HDwt\")\n",
    "        centerPt = tractCP\n",
    "        outerPt2 = Point(tractCP.x+oldR[0]*math.cos(angle[0]), tractCP.y+oldR[0]*math.sin(angle[0]) )\n",
    "        outerPt3 = Point(tractCP.x+oldR[0]*math.cos(angle2[0]),tractCP.y+oldR[0]*math.sin(angle2[0]) )\n",
    "        HDpolly = Polygon([centerPt,outerPt2,outerPt3])   #initiate a polygon that will be the home district\n",
    "        for nW in range(1,nWedges):\n",
    "            outerPt2 = Point(tractCP.x+oldR[nW]*math.cos(angle[nW]), tractCP.y+oldR[nW]*math.sin(angle[nW]) )\n",
    "            outerPt3 = Point(tractCP.x+oldR[nW]*math.cos(angle2[nW]),tractCP.y+oldR[nW]*math.sin(angle2[nW]) )\n",
    "            HDpolly =  HDpolly.union( Polygon([centerPt,outerPt2,outerPt3]) )  #add this wedge to HD district polygon\n",
    "        HDpolly = HDpolly.intersection(origMAP)  #exclude map's convex hull and buffer, just the original union of precincts\n",
    "        redoHDarea[redoNumber] = HDpolly.area #would need to track wedge shapes better to compute a final area \n",
    "\n",
    "    # end of loop on this tract\n",
    "    print(\"finished looping on redo of tract \",t)    \n",
    "for redoNumber in range(nRedos):\n",
    "    t = redo[redoNumber]\n",
    "    if(wrongPop[t] > 0):\n",
    "        redoHDvPop[t] = wrongPop[t]  #undo the lie that got us out of the loop early\n",
    "# HDsumWeight = np.sum(HDweight)\n",
    "# print(\"Sum of weights over all precinct home districts should have been 1.000, but was \",HDsumWeight)\n",
    "# print(\"Average and max number of wedgePop loops per tract were: \",np.average(tractLoopCounter),np.max(tractLoopCounter) )\n",
    "# print(\"min,average,max of Home District areas were: \",np.min(HDarea),np.average(HDarea),np.max(HDarea) )\n",
    "# stateGOP2 = 0.\n",
    "# for t in range(nTracts):\n",
    "    # HDweight[t] = HDweight[t]/HDsumWeight   #renormalizing\n",
    "    # stateGOP2 += HDweight[t]*HDvGOP[t]\n",
    "# print(\"calculated statewide vote was {0}, should have been {1}\".format(stateGOP2, stateGOP) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 348,
   "id": "c643cfce-2ba0-400a-b058-38b70a1e7309",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "167 0.42670940772445526 0.5959358888046177 3304508.9080142053 773842.8326444986 t, pct R, HDpop (old, new)\n",
      "1454 0.41524448097299915 0.5800145474364335 1172293.3282999888 774541.1779883557 t, pct R, HDpop (old, new)\n",
      "1497 0.4770602556336929 0.5795536593965854 826449.7079291432 775793.0626293202 t, pct R, HDpop (old, new)\n",
      "1622 0.4298238380540196 0.6092131361046392 4376161.765201239 766745.1475002962 t, pct R, HDpop (old, new)\n",
      "2224 0.4202597030530061 0.5668144519381301 2327174.28023302 773170.8736317176 t, pct R, HDpop (old, new)\n",
      "2230 0.5575614036130331 0.542209035609453 852197.9431255059 774697.8700699711 t, pct R, HDpop (old, new)\n",
      "2252 0.536541402878683 0.6044275995196078 1081413.1747042637 775452.8477253963 t, pct R, HDpop (old, new)\n",
      "2257 0.3914148669815983 0.5879586890427229 3219967.8158555385 763750.1676691435 t, pct R, HDpop (old, new)\n",
      "4635 0.4496474695111592 0.5477170441527741 3447489.674097435 773381.8037149538 t, pct R, HDpop (old, new)\n"
     ]
    }
   ],
   "source": [
    "for r in range(nRedos):\n",
    "    t = redo[r]       \n",
    "    print(t,HDvGOP[t], redoHDvGOP[r], HDvPop[t], redoHDvPop[r],\"t, pct R, HDpop (old, new)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 349,
   "id": "054bc1a4-0533-4a42-b86f-f8c47173edae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "167 1.0335348430384217 1.4729084821699023 t, HDarea (old, new)\n",
      "1454 0.9558656673550292 1.5108109325676395 t, HDarea (old, new)\n",
      "1497 0.9320967483217852 0.5948285353685191 t, HDarea (old, new)\n",
      "1622 0.8794208778688568 1.4427634762109514 t, HDarea (old, new)\n",
      "2224 1.0722087967619973 0.715291493488541 t, HDarea (old, new)\n",
      "2230 1.4209137565691847 1.5915292621864652 t, HDarea (old, new)\n",
      "2252 1.260114833268251 1.1913415404889673 t, HDarea (old, new)\n",
      "2257 1.2965261171311089 1.546867487643159 t, HDarea (old, new)\n",
      "4635 0.6631426919693022 0.7404683088835482 t, HDarea (old, new)\n"
     ]
    }
   ],
   "source": [
    "for r in range(nRedos):\n",
    "    t = redo[r]       \n",
    "    print(t,HDarea[t], redoHDarea[r],\"t, HDarea (old, new)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 350,
   "id": "37f47a77-d58e-4b4c-be60-676819128e21",
   "metadata": {},
   "outputs": [],
   "source": [
    "# (OPTIONAL) IF WE STOPPED AND RESTARTED, read the data back in:\n",
    "import pandas as pd\n",
    "infilename = \"FL_nD28tol0.01nW4.csv\"\n",
    "df2 = pd.read_csv(\"state_HD_output/\"+infilename)\n",
    "HDvPop = df2[\"HD-pop\"]\n",
    "HDvGOP = df2['HDvGOP']\n",
    "HDweight = df2['HDwt']\n",
    "HDarea = df2['HDarea']\n",
    "tractLoopCounter = df2['Loops']\n",
    "tractPop = df2['tractPop']\n",
    "tractCPx = df2['centroid x']\n",
    "tractCPy = df2['centroid y']\n",
    "tractUse = df2['tractUse']\n",
    "# nearEdge = df2['nearEdge']   #add this back in, PLEASE\n",
    "df2.head()\n",
    "nTracts = len(tractPop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e9b2c0c0-fb53-44e5-9155-1963d4833ee8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "750596.7418101031 0.1131774380110593 0.0001361943772 0.0400616118781349 0.7450137754374908\n"
     ]
    }
   ],
   "source": [
    "#  HERE'S A BLOCK TO OVERWRITE THE REDONE DATA\n",
    "for r in range(nRedos):\n",
    "    t = redo[r]\n",
    "    HDvPop[t] = redoHDvPop[r]\n",
    "    HDvGOP[t] = redoHDvGOP[r]\n",
    "    tractArea[t] = redoHDarea[r]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "c80e0880-6811-4408-b847-6d70bd2546ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt   #SKIP THIS BLOCK IF STARTING FROM FIRST BLOCK\n",
    "from scipy.stats import norm\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 352,
   "id": "c8f73bb9-e36b-41c7-9220-1ec09169aa3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's look at some outputs.  First, red/blue by home district  SHOULD BE MIX OF RED AND BLUE\n",
    "nPlot = 5\n",
    "for t in range(nTracts):\n",
    "    if(t % nPlot == 0 and tractPop[t] > minTractPop):\n",
    "        redd = min(max( 0, ( HDvGOP[t] - 0.5) * 3.0 ),1)\n",
    "        bluu = min(max( 0, (0.5 - HDvGOP[t]) * 3.0 ),1)\n",
    "        plt.scatter(tractCPx[t],tractCPy[t],marker='.',color=(redd, 0,bluu ) )\n",
    "x,y = MAP.exterior.xy\n",
    "plt.plot(x,y,color='green')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 353,
   "id": "a5d3b510-6d1e-49ae-9a5d-03352e2b449e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "here is a map of tracts that were used less than 0.85 of expectation\n"
     ]
    },
    {
     "data": {
      "image/png": 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AOOAHHGwNe2+D1h9AqCmCOampno7ts4rNYFbeKtQ/lI41OtKxRkcAMh2ZWPdZmbVjFr/98xszt8/EIAx0rNGRR2Mf5e66d6shABSfZbE0LlDhvqC8e8yT80AoWoNLxB5tXXJ1MG08zXabjbqqGeWqqG4VHhJgCqBzzc58fsfnHBh0gHX91jGs9TC2nNjCfb/cR8WPKjJkwRD2pO7RO6qieNy98fGEGI1IIAvtlGfQMfA7Cyk3gBNYMHmyviF9kCrgRUAIQWz5WN655R32DtzLnN5zaFOlDR/ZPqLmpzW57+f7WHd0nd4xFcVjmlos/JSURLdu3agTE0NoYCBmCdFbIaUmBPjDyWPHrvxCykVUAS9iRoORzjU7M/3+6ewftJ9hNw9j3u55NE1sSpfvurD+2Hq9IyqKRzS1WPhkxgym7t3L6IUL8ReC6M0gTXCiDpRRQ8teNVXAdVQxrCLv3vIuBwYd4J0O77Dy8Eqajm/KU7OfyummqCjF0Q0WC89++SWRRw0EnIbjjQzcpoaWvWqqF4oXST2fyhuL32DMijHUK1OPR5s8Ss8belI1oqre0XSX6chk68mtbDi2gc0nNnM68zT1ourxVPOntOFaFZ+0zWbjxT+HMF+uIGVoirqGIh/X3I1QCBEALAH80Xqt/CKlfE0IURqYCsQA+4D7pJSX7QekCnjBzNoxizeXvJkzxkuLii2474b76Fm/J1XCq+icznMysjP434b/8ds/v7Hy8ErC/cOJLR+LUzqZv3t+zo0MAk2BRAREcDTtKGWDy/J8q+cZfNNgNbSwj1qyfwntvm3HT/f+RM/6PfWO45Wup4ALIFhKmSaEMANLgYFAD+CUlPI9IcQwoJSUcujlXksV8KuzJ3UPv2z9hZ+2/MSao2swGUxMvHsifRr10TtaoTp89jAD5w5k7q65pGenU6t0LW6ucjNp9jTWHF2D2WCmXdV23FbjNhqXa0z1UtUxGowk7U9i5NKRzNk1h5YVWzKw5UC61+uuLpzyMQ6Xg/IflKdzzc5M6aEu5slLoVzII4QIQivg/YHJQJyU8qgQIhqwSikvvU9TLqqAX7vdp3bzxKwnWLRvEf2b9eftDm9TOrC03rGuW6Yjk7YT27L15FbiG8fTq2EvWldufVX3cpyycQqvLHqFfaf3USqgFN3qdiO+cTxxMXGeC64Uqkd+fYSZ22dyYvAJNbZQHvIr4AU6iSmEMAoh1gMngAVSyhVAOSnlUQD3zzwvMRRCJAghVgshVp88efKa30BJV6N0Df7o/QfPtHiGxDWJNB3flPm751OU5zA8Yeb2maw6sorhNw9n3B3juLnKzVdVvAH6NOrD7md3s+ChBdxR+w6mbZtG+0ntafxlY8atGsfe1L0eSq8Ulrvr3M3pzNMkHUjSO4pPudoj8AhgBvAMsFRKGZFrXaqUstTlnq+OwAvHqsOr6PlzT/af2U/9qPpEBkVSu3RtetTrQeeana+6AOrpeNpxyn9Ynr6N+/Jtt28L5TUzHZn0ndmXn7b8lLOsQ7UODGg+gDvr3InJoC5A9jbp9nTKvF+Gx5o8xtguY/WO43Wu6wj8AinlacAKdAaOu5tOcP9U90YqIs0rNmfHgB183uVzKoVVwiVdTNs2jS7fd8HwpoF9p/fpHbHAIoMiMQgDLum68sYFFGAKYEr3KVj7WtkxYAfvdHiHnSk76fFTD2p8WoNRS0eRZk8rtP0p1y/YL5judbszacMk9Y3pKhTkJGYUkC2lPC2ECATmA6OAdkBKrpOYpaWUQy73WuoI3HOyndnc+cOdzNs9j2BzMMcHHyfYrxBvhX6dMrIzmLR+EpM2TOLwucNUCa9Cncg6ZDoy+XHzjyTcmMCXXb/02P4dLgezdsxi7Kqx/LX3L8qHlOeLO76gW91uHtuncnV2JO+g8ZeNaVSuESufWKl3HK9yPUfg0cAiIcRGYBVaG/jvwHvAbUKIncBt7nlFJ7ZDNpbsXwJodxb/4O8PdE6kcbqcvL/sfap+UpWn/ngKu9POLdVuwWwwM3fXXP4++Dc96vXg9bjXPZrDZDDRvV53FsYvxPaYjYqhFekxtQeL9i7y6H6VgqtTpg7Dbh7G6iOrST2vRiYsCHUhTzHR7tt2OQUctII1/b7p3FnnTt0ypWSk8OC0B1mwZwGda3Zm+M3DaVOljVe00afb02nwRQPMBjN/xv9ZrPvX+xLrPivtJ7Vndq/ZdKnVRe84XqNQ2sAV73WhTdcgDBx5/ggNyzbkiVlPkO3MLvIsTpd24U3cpDgW71/MhDsnMKf3HNpWbesVxRu0NtdJ3SZxPP04bSa2wely6h1JAZpVaIZBGFhxaIXeUXyCKuDFRFzVOABc0oW/yZ/hNw/nePpx1h5dWyT735G8g/eWvkfX77sS9X4UnaZ0IiUjhVkPzuLxpo8XSYar1bZqW95q/xYHzhwg5XzKlZ+geFyIXwj1o+qz5MCSK2+sqAJeXORuKvll6y8cOnsIoFB7d+QlIzuDAX8MoN7n9Ri+cDi7U3dzT717+Onen9gzcE/ODS68Vb0y9QB48vcnfb5PfXFxX/37sO6z8k/KP3pH8XqqDbyYcLgclPugHKfOn6J+VH1OpJ+gXlQ9rH2tHmu2WHd0Hb2m92J78naeafEMw28eTnRotEf25SlSSjpN6cSCPQtoXK4xjzV5jF4NexEZFKl3tBLrWNoxqo+pTre63fj+nu/1juMVVBt4MWcymBhx8wgAtpzcwsmMk0SHRLPs4DJWH1nNvtP7mLNzznWf3bc77czbNY8eU3vQbEIzzmadZcFDC/j09k99rniDdrON6fdP5/Mun2MymHh27rNU/Kgig+cPvuiu7UrRKR9SnudaPccPm39gzZE1esfxauoIvBixO+00/rIx25O3X3a7x5s8zoutX6R2ZO0Cve7+0/v5btN3LNy7ENtBG+cd54kMjCThxgResLxQrI5WNxzbwCcrPmHS+klEBkWSnJHMPfXu4Zf7ftE7WolyJvMMNT6tQePyjfnzoT+95uS3XtRd6UuIlYdX8vDMh9mWvI0Xb3qRW6rdgt1pJzkjmUX7FnE68zQL9iwgy5FFu5h23Fn7Tu6pd88lY46fzz7PzO0z+Wb9NyzcsxCJpHG5xsTFxHFLtVu4tfqtBJoDdXqXnrfu6DpG/DWCubvmAiBfU+3jRe3TFZ8ycO5A5vSeQ+eanfWOoytVwEsQKSWHzh6icnjlPNcfTzvOF6u/YNq2aWw+sRmjMPJksyeJbxzPysMrsR2y8cfOPzideZqYiBgeiX2Evo37lsgbSwycM5DJGyeTOlRdWFLU7E479T6vR7A5mHX91pXo8d5VAVfytCd1Dx/ZPuLzVZ/nLIsOiebW6rfycOzDxMXEYRAl91TJc3OfI3FtImnD00r813g9TN08lQemPcC3d39L39i+esfRjSrgymX9ffBvDp89TKtKragUVkkVK7cvVn3BU388xT8D/qFWZC2945Q4Lumi5VctOZZ2jH8G/FOsm+0uR/VCUS7rpso30bN+TyqHV1bFO5e6ZeoCsPXkVp2TlEwGYWD0raM5dPYQn638TO84XkcVcEW5jLpl6hJgCqD71O40S2zGB39/wMEzB/WOVaK0r9aeLrW68G7Su6RkqCtmc1MFXFEuIzo0mg1PbuD1uNcxGUy8uOBFan5WE9tBm97RSpRRt47inP0cry56Ve8oXkW1gSvKVdievJ32k9rjdDlpVakVZYLKMLDlQBqXb6x3tGLv2TnPMnblWN4z9efuDn2oY7HoHanIqDZwRSkEdcvU5dcHfqV+2focOnuIadum0eKrFqw7uk7vaMVefPCd+KdJ3jswjtdu7cAOm/oWpAq4olylFhVbsKjvItb2W8uOATuwO+28uOBFzmef1ztasXZg2WoazxekVoAd9TOZMmyY3pF0pwq4olyHcsHlsFSysHDvQgb8MUDvOMVa/bg4Km8RRO2BLbfAurVL+KhPH71j6UoVcEW5DkIIlj66lJ439OSXbb94fPjekiwbSHG6qDMbHCZYfxskffcdW0twU4oq4IpynQzCQKmAUpzNOovxTSOjlo4iaX8SmY5MvaMVK+usVlxASApUWwaHG8PRGPi2BDelqAKuKIXgpbYvARBoCmTYwmG0/bYtDb9oyJnMMzonKz6axMVhAlxAtSTwT4UNd8CKZUv4ZuhQvePpQhVwRSkEVcKrIF+TZLyUwYnBJ6gYWpFdp3Zhd9r1jlZsNLBYKB2tjTmf5YCwPyAzCjZY4NvRo0tkU4oq4IpSyKKCozAIA2aDmajgKL3jFCt1WrZEAhlAwE4I3AZn28HJCJgyerTO6YqeSe8AilIc9WnUh/eWvse5rHOE+ocipeTj5R8zc/tMSgeWJiooiqjgKMoFl6NWZC3qRNaheqnqahyaK3hgyBD+njmTIEAAEXPg2AA4fDvM+3EmD9hsNCpBF/ioAq4ohczpcvLj5h+RSFIzUwn2C2bgnIGMXTWWRuUakZqZyorDK0jOSMbhcuQ8750O7zCizQgdk3u/+hYLn/79N0/ffDPlXS7OnYXsRZDcCY43hncef5xXvvqKBiWkiKsmFEUpZAZhyOmBsjNlJw/NeIixq8byguUF1vVbx6b+mzj6wlHsL9s5Pvg4n3b+FIAsR5aesX1GfYuFnoMHYwb8gMjlELwXjtwJGx1bGdC+PZtLSHv4FQu4EKKyEGKREGKbEGKLEGKge3ljIYRNCLFJCDFLCBHm+biK4v2EEIztMhZ/oz+3/u9Wvt/0Pc0rNOeDjh9cdHMMIQRlg8vmjHHdukprvSL7nKdHjaJSbCwCEBJqTIXgY7DjfjhZMYs5kyfrHbFIXHEwKyFENBAtpVwrhAgF1gDdgEnAYCnlYiHEo0A1KeUrl3stNZiVUpIcPXeULSe3EGgKpG6Zuvne/Dn1fCqNv2zMmawzvN7udQa2Glii74JUUGttNvq2bo1RSvwAEQCbHgVnAHRb0pCpqzbqHbHQXPNgVlLKo1LKte7pc8A2oCJQB1ji3mwBcE/hxVUU3xcdqt2arnWV1vkWb4BSgaWwPmylSfkmPD//eX7a8lMRpvRdTS0WXv7yS6TBgAMwZULNX8EeCnOqbeL78eP1juhxV/VnXggRAzQBVgCbgbvcq3oCed9BV1GUK6peqjoT7pwAwNA/h3I266zOiXzD/QkJTFq6lG5PPkkaYDgMZf+Ec/Xh/ZXv6x3P4wpcwIUQIcA0YJCU8izwKPC0EGINEArkecWCECJBCLFaCLH65MmThZFZUYqlPal7ADhw5gALdi/QOY3viLVYePWLL+gzZAgZQOgyCN0A66vsZtrWaXrH86gC3dBBCGEGfgfmSSk/ymN9bWCKlLLF5V5HtYErSt5Opp+k7AdlL1o2rss4+jfvr1Mi3/RDYiLzpk2jfY+7+ML4Pzad2MSyR5cRWz5W72jX5ZrvSi+0KwsmAaeklINyLS8rpTwhhDAA3wJWKeU3l3stVcAVJX+TN0xm4d6FhPmFMXbVWASCDU9uoGG5hnpH80lHzx2l+YTmGISBVU+solxIOb0jXbPruSNPa+AhoIMQYr370QV4UAjxD7AdOAJMLNTEilLCxDeOZ1K3Saw5ugaAUP9QwvxV79xrFR0aza8P/EpyRjI9fupRLPvZF6QXylIppZBSNpJSxroff0gpx0gpa7sfw2RR3lxTUYqpU+dPYTtk4/Emj/PPgH+oGlFV70g+7cYKNzLx7on8ffBvnpr9FMWtTKnOporiRaz7rADcXfdun/7K7y2klHSq2Ymnmz/NN+u/YcyKMXpHKlSqgCuKF5m2Tes1YTKYVE+UQvBO0juUGlWKz1d9DsBz854j9XyqzqkKjyrgiuJFWlVsBcDt391OxykdSben65zIt/Wo1yNnumONjkzuNpmIgAj9AhUyVcAVxYsMaDGAH+/5EYAAUwAmgxow9HrcEHUDB587SKNyjVi4ZyF+Rr9iNWSvKuCK4kWEEIQHhAOQ6cgk4J0Avtv4nc6pfFulsEokPZJE6yqt6T29N3/t/UvvSIVGFXBF8TKdanTi1wd+pXqp6gAcOXdE50S+L8w/jNm9ZhPiF8KLC14ky5GF0+X0+V4p6vuZongZIQR31bkLk8HEHd/fwdbkrXpHKhZC/EKYePdEevzUg4B3AnKW3xB1A7N7zSYmIka/cNdIHYEripe6vebt9GrYi2/Xf8um45v0jlMsdK/XnZfbvJwzH+IXwtFzR2n3bTt2ndqlY7Jrowq4ongpIQRvtX8LgG/WXXaUCuUqvNH+DX5/8Hc+7Pghp4acYmH8QtLt6dwy+Rafu1pTFXBF8WI7U3YC2pGiUjgMwsAdte/gecvzmI1mmkQ34Zu7v+HAmQM+d4JTFXBF8VJSSjp/1xnQLglXPCfyZBhmzHzy1yWDrXo1VcAVxUslHUjKme5Wt5t+QYq5NTYbfTt2ITDJwfxjf5I4e5zekQpMFXBF8VIVQivkTPt6dzdvZrNaybbbCV6ifcavrXnDZz5v1Y1QUbzU9G3TAaicHcWEp56iQ3w8NS0WnVP5vjU2G9MnT8YAxDZpwrq5c8kq5yLFfdV9psmOUzoxCe8vjwW6I09hUTd0UJSCOZZ2jAofViD8oKTeDPA/BZX8/HjNalVF/Dp8OnQoY99/H38pyQQEEBIKm/qDyIa7AzoxdsQkrxsJ8npu6KAoShEbPeEFJJLYuRB9CoxAqt3O35Mn6x3NZ/2emMik0aMpJyWlgPKAP3CsKTgCofH/IGxhqtcV78tRBVxRvMyeZUl8ceR7/NOg1DFtmRk4Byz56iv22mx6xit0Nts6Ro4cj822zqP7SZo2jQC0o+4LjwDgXC0IOwhByRBdocJlX8PbqAKuKF5mxKdPkBkCsbPB4NT+k4YCEkhzOtllteobsBAlJk6lTZs+vPTSx7Rv39ejRbzNPffknPS70HAcCtjDIThZ+yPZa8gQj+3fE1QBVxQvst1mY27EDpBQdjuEAZWBcLQjxnCzmZpxcbpmLCw22zr6938Dp9OBlJCVlcXkyTM8tr+uCQncP2QIGWjfZi60gUuj9oeyYdu23OBj5xdUAVcULzLo6/6cqQAGO6RLre07AK3gtIiNZZjVSjUfKzL5mTx5Fi6XC3cZdS91enSfT40aRfyQIQQLwYVRwf3OQWYYhJYu7dF9e4L395NRlGIsJSOF+bvns3v7JtYuT2Je5Q0ANJgBWcBh4DyQGR7O++s820Zc9Izun1rxNhgcxMf3yH/zQrDOZuO7Dz/EJCUB7j2HHIfUasBu3+j7nZs6AlcUHY1cOpJe03vxytaRzAhbCkD1JRCzXeslkQYcAV6fM0fPmB4RH38Xfn6lEMIPo9HMF1+MxGLx7JABsyZPxul0Ygcy0Ap4qYNgD4Wkxb+xzcdOEKsjcEXRkVFoR6GWKXD+CARmgzEbTgGl0ZpPzGFhxBaTZpPcLJaGWK2JWK1riIu7EYulocf3aQJy31DNAUQc0qZTKkkmDBvGR4sXezxHYVFH4Iqioz6N+gCwtzacyQBD9r/r7GgFplGHDrpkKwoWS0OGD3+4SIo3QNf4eExmc868CQg9Bv7n4Hh92LZ2bZHkKCyqgCuKjsL8wwDthOUZ97ILLbGn0drBH/Sxrm3erJHFwvjFi2nfrRt+BgPZgENC2U1wshakONPY6EPNKKqAK4qOKoRWQCDws2un9JLRjrzT0U5eWrp1o5HOzSf/2GzMGDmSf3yosF1OI4uFOi1akOFykYXWnTB6o9ad8HQsfD96tM4JC+6KBVwIUVkIsUgIsU0IsUUIMdC9PFYIsVwIsV4IsVoI0cLzcRWleDEbzUQby3I6FiKDtf7eTsAFGE0mHtL56Psfm43X27XjxxEjeL1du2JTxCMiIzGifdsxAmHHoPRu2HczLJn7Kxt85H0W5AjcAbwgpawHtAKeFkLcAIwG3pBSxgKvuucVRblKVc6WxRkK4aFaAS+NVlTufPxxGlssrDq8ineT3iXTkVnk2aaNHo0jW2uYd2RnM82Hjk4vZ7m7V49Ea6YCqPEXZAfDnnaS331kzJkrFnAp5VEp5Vr39DlgG1AR7b2HuTcLR+vtpCjKVdhss7Fn8yaMmdrJtAtjdJiBu+PjAXh98eu89NdLtJjQglk7ZnE262yR5Tty5AgSch5HjhSP/+brli/HhfaeHGgXSgUchrKr4XhLOGI6qW/AArqqNnAhRAzQBFgBDALeF0IcBD4AhufznAR3E8vqkyd940NRlKIyefRo7GXAnHHx9YjZQtDE3fYdYAoAYNOJTdz1412EvxdOrc9qYXfaPZ6v02OPcRStW+NR93xxYM/KuqgJJdD9s9afYEqHaeFWli/z/u6EBS7gQogQYBowSEp5FugPPCelrAw8B3yd1/OklIlSymZSymZRUVGFkVlRio1du7ZzJgbCDkM22gm1s0BqrnH6Q/1CL33eqV34v+3PzpSd3PPTPTzzxzM4XI5Cz9c1IYFh48cT27Ejw8aPp2tCQqHvQw9Vq1YlzT1t4t9vGDITys02cNycQtd3b2Wtl7eFF6iACyHMaMX7OynldPfivsCF6Z8BdRJTUa7SP8HJSCOU3ah9jd+Ndvl8OrDKXTzGdB7DB7d9QERABIGmwIue//CvDzN923TGrhqL+S0zP2/5+aL1Xyd+xR2d7uDrxK+uOWPXhAQ+mDev2BRvgNqtWuFE6+ljRztp7EIriOE7JGErIaWFg2//mqBnzCsqSC8UgXZ0vU1KmfuWzUeAdu7pDsDOwo+nKMXXWpuNA8HJICFzL+xCu3T+LOBEsMw9bGx4QDgv3PQCqUNTmXrv1IteY9/pfRfN3/fLfWxP3g7AiKHDebzfAP6Yv5DH+w3gpaF5tnKWSF3j4/Hz90cKgTAa0cocGAwGAo1Gyi404J8s+ME4i+SMZJ3T5q8gR+CtgYeADu4ug+uFEF2AJ4APhRAbgHeB4vPnWVGKwAqrFcM5QMDxStpX+AuXeadhYJ512SXPqRJe5aL5BmUbAPB6u9dzltX7vB42m40PP9COtwKRlMHBuPffZ4WXNwkUlSYWC/9btIjn3nmHEePG4RcQgMFoxM/fn+Gff87zr73NxK4TOes4y4A/BugdN19XHAtFSrmUi4cPyM2zI88oSjHWMi6OsFch7SZI6waBv4DJPS6HAwNz5/9Jnz6PMmXKNwBkOjJ5cvaTF73G/N3zAa2nygWNyjXCal2MU7oIRBBDtnaCVMK0yZNpWQzHVbkWTSyWnBPFtRs2ZL3VSmxcHA1yfT67Ag7wqvVV+jTqQ9faXfWKmi91Jaai6KSpxcK99/cm4hcwCMh4FNItgnRMOBGAi+++m0Ji4tdkZGfQ7cduLD+0nIEtB7LrmV3MenAWYzqPYWjroRe97viu44mLa4dfgD+hOC65hZhyqQYWC32GD7+oeAMMvXkoDco2oP/s/kXafbOgVAFXFB19NGUKveN6EzYOzNvA2UnijAXtv6bWsfCTTz5j/OrxzNs9j487fcwnnT+hRukadK3dlUebPErlsMo5rzfhzgm0qtQKi8XCwoUL6P1kP8xmM0II/Pz96eHuW64UjJ/Rj6/u/IrDZw8zZIH3jUmjhpNVFJ2NmTKF2LZt6f9UP/AXcJcDzplgtx9gRwjJlpNbABjYcmDO87IcWdz1w10s2rcIgA7VOvB408dz1lssFiwWC+vj41lltdI8Lq5YDkvraS0rteQFywt8YPuAvo37YqnsPZ+hkLLo7kLRrFkzuXr16iLbn6L4kq8SE3nimYHwVBYkG2BKIIRm03BEbXa7dtM0uilJjyQB2p18unzfhZWHV1IlvArbn95OoDnwCntQrlW6PZ1KH1eiU41O/Hjvj0W+fyHEGills/8uV00oiuIlHk9IYMigwZBqAD/twKrtg63ZlLWJssFlSeyaCIDdaaf71O5sOLaBqfdOZd/Afap4e1iwXzDxjeKZsX2GV3UrVAVcUbzIqFFvEV2rHKXDIun6wS2sqqJ1+5vTew7hAeG8s+Qd6o6tS9KBJCbePZH76t+X04dZ8azHmz6O3Wnn+03f6x0lhyrgiuJlLLVacSriJL+n/UqrSq34qONHJMxKoMrHVXh50cvERMQw4/4ZPNjwQb2jligNyzWkQdkGjFkxhpSMFL3jAOokpqJ4neE3DycqKIq4mDjuqXcP/X7vR9IBre17c//N1C9bX+eEJdMGm42up1rzvvMr3v/7fd679T29I6kjcEXxNoPnD2batml0rtkZs9HMS21eAsBkMFE6sLTO6UqmDTYbj8bF8fsriQTtdvHV4i/Z+PffesdSBVxRvIlLuli8fzHJGcmUGlWKyh9XptZntQgyB7Hs0WVEh0brHbFE+m3yZDLsdhxSErRFkmI6w8PxHdik89AEqoArihcxCANf3PFFzrzY50/0zlq03X0Hrzz6LomJE3VMV3IdP3YMcN/FZhMYM2Bf8yzWuQcc04sq4IriZZ5s9iSD6rwAwMG5xznyXQpzv9nI/PnL6NfvGcoFhNAutgkr1cBURaZ0+fI5Q85ih7A1kFob9pzZr2suVcAVxQuV3lNOm+iVBiFOtFGrAzHh5HxWBhs2rOf2m29WRbyIdIuPRxiNOfPha7WfX2xO1LUZRRVwRfFCt7aPw2AN1mb6ncEYmUUYJwglE4HU7uXocvGjj9x819c1tVi464EHcubNqVBqLZxsKpm7aJpuuVQBVxQvZLE0Z+m7i6g+rwkYQD58BL9yWZds5+23/Cou1tlsLJg6FX+0G04HABUXg3DB/FJrdMulCriieCmLpTlTPhxP+P+CEC5IeQQcVcEPCEX7uWvDBn5OTNQ5afG3ymol2+XCiFbADYDfOSi7BP48YaXXoM5s1OGPqSrgiuLFLJbmjHljDOUnCkzn4NxD4F8DQoBoIAoYO1zdKs3TmsfFYfb3x2kw4BICAWQA/svAfAJ+cczj0Q7tiryIqwKuKF6ub8JjvD/qS6pONuJ3Co70AoOf1iMiA0g5dYr1qinFo5pYLHyzcCHPvP02r335JWaTSbsFngsi/oLsKDjSKJu1RdytUBVwRfEBDyYk8NO8JCr/E4E0wv7e4ArQ+iWD9hVf8awmFgsJw4dzT0ICvZ9/Hj/38qDtELAXTsRBzdZFe5dJVcAVxUc0sVh4496RlJ8DGZVh/4OAu2dbxunTekYrcUIiIjAJQTgQDFSdBzJI8NWpoh2pUBVwRfEhvfs9SeusWMrNgIyqcOZm7WTmTx9/rPtl3SVJs7g4/AICMBkMhJhMvPvGeF5q+zKTNkzi5y0/F1kOVcAVxce8Pm4ctbYaKbUJTraF7HLgcjpZo5pRikxji4XxCxfS/+23SVyyhB4JCbza7lWqRVTjVeurFNWdzlQBVxQf08Bi4YukJPpwO8ZM2HsXCKOB0pGRekcrURpbLDw2fDiN3fcZNRlMdKrRie3J29mdurtIMqgCrig+qIHFwqe//MET0b1Jrwhnajv46Kmn+FX1CdfV8DbD8TP68d7SohkrXBVwRfFh1f4JxO8cHLwJcDp596mn2KDawnVTJbwKTzV7ionrJ7L26FqP7++KBVwIUVkIsUgIsU0IsUUIMdC9fKoQYr37sU8Isd7jaRVFuYgJE9X+gnMV4UgzMLpcrFZt4bp6Le41ooKiePqPpz3eFl6QI3AH8IKUsh7QCnhaCHGDlPJ+KWWslDIWmAZM92BORVHy0DE+nsqbTZTeCbs6Q1plI83i4vSOVaJFBETwdoe3WX5oOX/s/MOj+7piAZdSHpVSrnVPnwO2ARUvrBfaLbHvA37wVEhFUfJW32Lhk8VLGBj2MGEihNNPl6NWs8Z6xyrx+jbuS7WIaoxaNsqj+7mqNnAhRAzQBFiRa3Eb4LiUcmc+z0kQQqwWQqw+efLkNQdVFCVv9S0WXh03kRmP/MbB84d5+a+X9Y5U4pmNZm6tfitJB5JYf2y9x/ZT4AIuhAhBayoZJKU8m2vVg1zm6FtKmSilbCalbBYVFXXtSRVFuaz21drzaOyjfLz8Y95e8rbecUq85y3PA/Dj5h89to8CFXAhhBmteH8npZyea7kJ6AFM9Uw8RVGuxtguY+lRrwevLHqlSK8IVC5Vt0xdbizdjAnLJrDsb8/0DCpILxQBfA1sk1J+9J/VtwLbpZSHPBFOUZSrE2gO5Pse32OpZKHPjD78svUXvSOVWDbbCtZP3MwpThHX91ZsthVXftJVKsgReGvgIaBDrm6DXdzrHkCdvFQUr+Jv8mfWg7NoGt2UXtN6MX/3fL0jlUjDhr2Ec7MT7OCok8Ho0e8X+j4K0gtlqZRSSCkbXeg2KKX8w73uYSnll4WeSlGU6xIZFMmc3nOoF1WPzlM6s/H4Rr0jlSiJiV+zZMlqyA6HXSaoDTNnzsZmW16o+1FXYipKMRUREMHsXrORSB6c9mDO8vPZ5zmRfoIT6Sc4mX6S5IxkUjJScLgcOqYtXkaO/ATtvklBcCAYwoFQybBhbxXqfkyF+mqKoniVSmGVeKLpE0xYO4Eu33XhWNox1h1bl+e2XWt3ZdaDs4o4YfGUnJwBBGkz6QHAGQgSbN++p1D3owq4ohRzN0bfyAQmMGfXHG6qfBP33nAvVcOrUi2iGhLJsbRjvJP0DhVCKugdtdgoU6Y8aWknAQFm9+X0WSHUbVS3UPejCriiFHNB5qCc6cjASE6kn2DB7gX4m/wJ8w+jRqkaCATPtnxWx5TFy/DhT9Ov3+uAhPPulmr/GgQEVCnU/ag2cEUp5uJnxudMrzm6BqfLyf3176dzzc7sOrWLebvnUbN0TeqXra9jyuIlIaEXFStWBYxgCtYWugTLl+8q1P2oI3BFKebm9J7D7d/dTkRABEsfWUq1UtVy1j3d/GlaftWS++rfp2PC4snpLAsEQeBebUF6ANVrF24zlToCV5RirnPNzmx4cgNOl5PBCwZftK5FxRY4XnHwZvs3AdhhszG6e3eer1+f97t3Z4caW/yapaRkaxNGl/bTaaJjR0uh7kMdgStKCdCoXCNurX4ryw4sIzkjmTJBZXLWGQ3are132Gy82qYN0unEBRzaupW1s2fz+uLF1LEUbuEpCZxO94TBXcBdgvXrC7cXijoCV5QSYmjroZw6f4ohC4bkuf7X0aNxOp1kAdlAFuDIzmaLukHENRHCDmRDSCbYjeAwEBtbo1D3oQq4opQQLSu15N4b7uWHzT9wPvv8RevmJiay7Ndfcf7nOS4hqK9uEHGN7ICE6NOQHAzSxdmzaYW6B1XAFaUE6dOoD5mOTJYdXAbALpuNCf37M+appzgvpXbUbQYptO3vfvFF1XxyjcLDg8DPAZVPw55ItHKbVaj7UG3gilKCtKnShlC/UBJmJfBK9WdZdu9QMux2jIATWNcDjjXStq1nrs79Q97UM65PGznyEfq99QoYJRwIwmhMIz6+Y6HuQx2BK0oJEuofyu+9fsdkMPHo2ueY29PO0XpgioSjN/5bvAG2Ze8hZkwMn674VI2Tcg0SEu6g80MNAWheLZakpHFYLI2u8Kyrowq4opQwbau2ZWP/jfQ415zUcmC9H359BjbfCdWCqjD29rE4XnHw6wO/UieyDgPnDqTnzz3JchTu1//iLjHxd+avWwIOA5uSUvFEg4cq4IpSAgWYAhh1zxgeGOdH54nQbpaJ6S2/ZvfgfTzd4mmMBiN31bkL68NWnm3xLDO3z+Smb24i3Z6ud3SfYLNt5skn38dV+gwkB2LPzMZq3VDo+1Ft4IpSQtW0WBj+l5XtVit14+Komc/JyjG3j6FN1Tbc9/N9DJ4/mC+6flHESX1P375vI6UDSp2Hk4G4XNlERoYW+n5UAVeUEqymxZJv4c7t3hvuZVCrQXy8/GPuDmjHwWmLkUC7+HjVS+U/bLbN7Nx5BAwmiMqEfyIBO+vWbQe6Fuq+VAFXFKVAhrYeymfLP2Xghw8SO1dbtuDLLykdE0OV2Fh6DBlCvRJSzG22HVitm4mLa4DFUueidVbresAIke6+mGnhgBlwFXoOVcAVRSmQ1E17KLPTybHqIADpfpzYt4/j+/axYtYsRiUlFfsibrPtIC7uNbKznZjNRqzWNy4q4nFxsUAARJ3WFuwvD/gTH9+50LOok5iKohTIZquV8MNwtgzYzVoRB+2nAfBzOvlt9GgdExaNyZMXY7dLpDRgt0smT1580XqLpQFCBEKlFHAJSA7DaAwq9C6EoAq4oigF1CAujlJHAQNklAc/wJ9/j8SdwNKZM5mbmKhnTI87duyMe0r856dm6NBfkTIUKp2CQ6XBbkIIP49kUQVcUZQCqWuxUOF8BAApFeA8cBateOP+mQWM7N+fzcV0GFqbbQezZq1xz2nvPCws5KJtPvlkOYhyUP4MHC4HhOHnd/E2hUUVcEVRCizcEI5fGpyIhuNooxbCv0U8G3C5XKwrpiMYWq1bcDodaN83XICL9esP5qwfOnQudruEiDRtHJQTMUAQwcFhHsmjCriiKAVWO7YJpY7AqQpQASiF1pTiQBt7zwEIIWhSTEcwjIurj9l8oe+HBAT33NM8Z31iog0QUOq0tiC1NBDEI4945sSuKuCKohTYvUOGEHkE0spAVpDW+mvk3yKeBTRr04YGxbQnisVSh8WL36Bbt1a0aFGP8eP7k5DQPme9EC5AQplkbUFqBH5+gYwadY9H8lyxgAshKgshFgkhtgkhtgghBuZa94wQYod7efE//awoJVxNi4XeLfuCAfY2+bfpRKA1qZwGIkqX1i1fUbBY6jBjxmBWrHjrouIN8MQTzdG6EKbA+QA4U4pBg27yWJaCHIE7gBeklPWAVsDTQogbhBDtgbuBRlLK+sAHHkupKIrXGPHetzR2VmdrG8gIgnPALiADraAfPXVK34A66tatuXYUHpIGZ8No0aIso0YV7hCyuV2xgEspj0op17qnzwHbgIpAf+A9KWWWe90Jj6VUFMWr/PDM77gCDKzuAqfQijdoR+L+mZk6JtPXsGFJSJkGIamQFsDKlbtJTJzjsf1dVRu4ECIGaAKsAGoDbYQQK4QQi4UQzfN5ToIQYrUQYvXJkyevO7CiKPqrF1WPB6r04EgDcJaG6mgnNWsDXR97TOd0nmOzrWLkyDHYbKvyXJ+UtBxIhZAsSDMDRj75ZK7H8hS4gAshQoBpwCAp5Vm0y/BLoTWrvAj8JIQQ/32elDJRStlMStksKiqqkGIriqK384e0ppL9Fq3ppBTQtGNHbk1I0DWXp3yd+DW3tWnPWy+N4Na4O/Ms4lKeB+pASAakVQQCSU313DmBAhVwIYQZrXh/J6Wc7l58CJguNSvROkWW8UxMRVG8Tc8yXQA43hzSymknMM9f9hm+a6XNxtD+CQQ60wmQGZjtx/lu8nd5bBkJ/k4wO9yDWIVTunRVj+UqSC8UAXwNbJNSfpRr1Uygg3ub2mg9iZI9kFFRFC/kd9pO7Gxt2tYfjGZo2eNOftryEzO2zcB20IaU8vIv4iOmTp6Mn8uFGQhAK5wr//zjku1MptLaBgCOYCCYgQPzbF0uFAUZjbA18BCwSQix3r1sBPAN8I0QYjNaH/6+srj8aymKckX14+Ko91YgARmZLO8p8R/SkqVVdzHml2dytmlRsQU9b+hJvxv7Eepf+Dc0KCoXCuWFURiNQOrxY5dsFxDgT9pZdwUvfRLIYPfuPUB9j+QSRVlzmzVrJlevXl1k+1MUxbN22GxssVr5Pupvph+ejUTSrEIzJtw5gWUHljF+zXg2ndhEsDmYumXq8liTx+hZvycmQ97HjperRxKJlBKXdOVMS9zz/5mODIokpBDGH9lis7HBasU/MpJB/fvjdLncWeDe3r35bMoUQBsjpW/fKezcaQTKw+v9YVtjmPoAUVFZnDjx2nXlEEKskVI2u2S5KuCKolyv05mneXDag+w/vZ+PO31Mp5qdctYl7U/i+03fM3vnbA6ePXiZVyk80SHRHHnhyHW9xrTERL7o3x/pcoEQlGncmBNpaRw9fpzb7rorp3j36fMq3303F4gGoqB0Njw7GTbcCDNuJybGn717X76uLPkVcHVDB0VRrltEQARzeufd37lN1Ta0qdoGKSXj14wn3Z6O0WDM97UEl3Rmy2EQBoQQCARCCG3+P9OvWV/j8LnD1/V+piUm8ma/fkTibjaRkv3r1+Mwm5m6eDGN3UMFtGx5BytXrgUigSAgA6rs0V5kSSPgFMOHx19XlstRBVxRlCIhhODJZk96fD97T+/lvaXvXfPzt9tsvPrkk5wHcncAdACO7GxWW600tlgYNnQ4K1fOgRgJNx2D0nthbwUoewbO+8EZCZhJSGh5ne8of6qAK4qi5LLZaiVTSm1YACDYvdwBmM1mmrlHWvz++++hooSH3StNGVBml7bxLAs4ytOxY4xHs6rRCBVFUXJpEBdHiPuaRDv/DhVwY9u2fJ2r+aRG9Wr/di75DDiX6647OyoTFWVn3rx+Hs2qCriiKEoudS0WXv/yS4wGrTwaDQbeHj+eb3IVb4ARbw6Dm4AjAs5Ugr+raSscBkj3o1o1z3cQUU0oiqIo/9E9IYGqDRuy3GqlVVwcTf8zvvmC3Qt4dvNzADxfZQA3jG9H/wE/kb27KhgEyCM89tiDHs+pCriiKEoemloslxTuC0b8NYLtyduZef9M7q57NwA3NGzA6NHTOXLkGI+90YmEhC4ez6gKuKIoymWstNkYPfpDDh05TtPejRE1JKuPrKZ0YOmc4g0XbvQwvEizqQKuKIqSy+nM0xw5d4R/Nu1g5Atvsnb9BhxNDdDUxYrUpeC+FvHZFs/qGxRVwBVFUS7SZHwT9p3ep810cz9wavMrDNzk14ZlM606JLuUKuCKoii5nEzP+8Yz4icDcquZvuMfKuJE+VMFXFGUYm/rya1sPrGZval7OZN1hnvq3cONFW7Mc9uKYRU5dvYYzlfTyTI7czpbOzNM9O7dm4QE77njkCrgiqIUax/bPub5+c/nzAsEI5eOpExQGWIiYri//v20j2nPgTMHtLbvlH+ICIhgXlISLw8bxqaNmwgLj+LFEcNISHhEx3dyKVXAFUUpdpxSa7N+a/FbvGp9lbvq3MWbcW9SrVQ1pJRMWDuB3ad2s+boGl5c8OJFz60WUY0Xb3qRVs0t/Ll4sR7xC0wVcEVRipULoxm+ufhNXrO+xj317uHHe3+8aAzywTcNzpnembKT5YeWUy+qHlFBUVQMq5jveOXexjdSKoqiFFDf2L68nfQ2x9KO4Wf0Y8PxDWQ6MvO9wUOtyFrUiqxVxCkLhxoLRVGUYiU6JBqAmIgYRt4ykl2ndrHr1C6dU3mGKuCKohQrwj2SoJSSssFlAQg2B1/uKT5LNaEoilKsGIR2XDpq2SjKhZQDIMw/TM9IHqMKuKIoxUqASbsrfGpmKgZh4JNOn+QU8uJGFXBFUYqdiXdP5HTmaR5v+nih3J3eW6kCrihKsfNw7MN6RygS6iSmoiiKj1IFXFEUxUddsYALISoLIRYJIbYJIbYIIQa6l78uhDgshFjvfnj+9hOKoihKjoK0gTuAF6SUa4UQocAaIcQC97qPpZQfeC6eoiiKkp8rFnAp5VHgqHv6nBBiG1DR08EURVGUy7uqNnAhRAzQBFjhXjRACLFRCPGNEKJUPs9JEEKsFkKsPnky74HSFUVRlKtX4AIuhAgBpgGDpJRngS+AGkAs2hH6h3k9T0qZKKVsJqVsFhUVdf2JFUVRFKCABVwIYUYr3t9JKacDSCmPSymdUkoXMAFo4bmYiqIoyn8JKeXlN9BGhpkEnJJSDsq1PNrdPo4Q4jmgpZTygSu81klg//WGzqUMkFyIr+dJKqtnqKyeobJ6xrVmrSqlvKQJoyAF/GYgCdgEuNyLRwAPojWfSGAf0O9CQS8qQojVUspmRbnPa6WyeobK6hkqq2cUdtaC9EJZCu5bXFzsj8IKoSiKolw9dSWmoiiKj/L1Ap6od4CroLJ6hsrqGSqrZxRq1iu2gSuKoijeydePwBVFUUosVcAVRVF8lE8WcCFErBBiuXsUxNVCiBbu5b1zjY64XgjhEkLEemNW97pGQgibe5THTUKIAG/MKoSIEUKcz/W5fqlnzstlzbW+ihAiTQgxWK+MubLk97m2yPWZbhBCdPfSnLcJIda4f0fXCCE66JnzClkj3aOnpgkhxuqdE65YA4YLIXYJIXYIITpd9YtLKX3uAcwHbndPdwGseWzTENjjrVnRunBuBBq75yMBo5dmjQE26/1ZXs3vANqVwz8Dg701KxAEmNzT0cCJC/NelrMJUME93QA47MWfaTBwM/AkMFbvnFfIegOwAfAHqgG7r7YG+OQRONrFQxduMx0OHMljmweBH4osUf7yy9oR2Cil3AAgpUyRUjp1yJdbQT5Xb5FvViFEN2APsKXoY+Upz6xSygwppcO9PMC9nZ7yy7lOSnnh890CBAgh/HXIl1t+WdOldu1Kpl7B8pDf7+rdwI9Syiwp5V5gF1c7JInef52u8S9aPeAAcBA4jHaZ6X+32Q008NaswCDgf8A8YC0wxIuzxgDpwDpgMdDGi7MGAzYgBHgd7zgCz/f3FWiJVhTTgO7emjPXNvcCf3rzZ+pe/zDecwSe3+/qWKBPru2+Bu69mtf22psaCyH+BMrnseol4BbgOSnlNCHEfWhv/NZcz20JZEgpN3txVhPaV73mQAawUAixRkq50AuzHgWqSClThBA3AjOFEPWlNiqlt2V9A+1GI2naMD5F41p/X6WUK4D6Qoh6wCQhxBwppceOHq/z/1V9YBTat0ePu56sRe0as+b1C3p138L0/ut0jX/RzvBvH3YBnP3P+o+BEXrnvFxW4AHg21zbvQK86I1Z89jOCjTzxqxo4/bscz9OA6eAAd6YNY/tFun5uV4uJ1AJ+AdorednWdDPFO86As/vd3U4MDzXdvMAy9W8tq+2gR8B2rmnOwA7L6wQQhiAnsCPOuTKS35Z5wGNhBBBQgiTe5utOuTLLc+sQogoIYTRPV0dqIXWxqynPLNKKdtIKWOklDHAJ8C7Ukq9eyPk97lWc//bI4SoCtRB+8Ojl/xyRgCz0YrNMn2iXSLfGuCF8sv6G/CAEMJfCFEN7f/Vyqt5Ya9tQrmCJ4Ax7l/+TCAh17q2wCEppd4F5oI8s0opU4UQHwGr0L42/SGlnK1fTCD/z7Ut8KYQwgE4gSellKd0ynjB5X4HvE1+WW8GhgkhstFG+nxKSqnnsKj55RwA1AReEUK84l7WUUp5QoeMF+T77y+E2Id20tDPfUK7o5RSz4Oj/GrAFiHET2gHbg7gaXmVHRnUpfSKoig+ylebUBRFUUo8VcAVRVF8lCrgiqIoPkoVcEVRFB+lCriiKIqPUgVcURTFR6kCriiK4qP+DzBqpaWS1HjUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now, where are those UNDERPERFORMING tracts (<0.85 usage)\n",
    "maxPlot = 0.85\n",
    "print(\"here is a map of tracts that were used less than {0} of expectation\".format(maxPlot) )\n",
    "for t in range(nTracts):\n",
    "    if(tractUse[t] < maxPlot and tractUse[t] > 0.05):  #ignore skipped tracts\n",
    "        redd = min(max( 0, ( HDvGOP[t] - 0.5) * 3.0 ),1)\n",
    "        bluu = min(max( 0, (0.5 - HDvGOP[t]) * 3.0 ),1)\n",
    "        plt.scatter(tractCPx[t],tractCPy[t],marker='.',color=(redd, 0,bluu ) )\n",
    "\n",
    "x,y = origMAP.exterior.xy   #turn these on if I pull map back in\n",
    "plt.plot(x,y,c=\"green\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 354,
   "id": "876011e8-d37e-44a6-8dd9-a1e4d2f51e58",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "here is a map of tracts that were used more than 1.15 of expectation\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ... And where are the OVERUSED tracts?\n",
    "minPlot = 1.15\n",
    "print(\"here is a map of tracts that were used more than {0} of expectation\".format(minPlot) )\n",
    "for t in range(nTracts):\n",
    "    if(tractUse[t] >minPlot and tractUse[t] > 0.05):  #ignore skipped tracts\n",
    "        redd = min(max( 0, ( HDvGOP[t] - 0.5) * 3.0 ),1)\n",
    "        bluu = min(max( 0, (0.5 - HDvGOP[t]) * 3.0 ),1)\n",
    "        plt.scatter(tractCPx[t],tractCPy[t],marker='.',color=(redd, 0,bluu ) )\n",
    "\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"green\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 357,
   "id": "19bfa7c8-0449-4182-8ed9-f5a1c1276f03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "here is a map of tracts that were used more than 1.3 of expectation\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ... And where are the REALLY OVERUSED tracts?\n",
    "minPlot = 1.3\n",
    "print(\"here is a map of tracts that were used more than {0} of expectation\".format(minPlot) )\n",
    "for t in range(nTracts):\n",
    "    if(tractUse[t] >minPlot and tractUse[t] > 0.05):  #ignore skipped tracts\n",
    "        redd = min(max( 0, ( HDvGOP[t] - 0.5) * 3.0 ),1)\n",
    "        bluu = min(max( 0, (0.5 - HDvGOP[t]) * 3.0 ),1)\n",
    "        plt.scatter(tractCPx[t],tractCPy[t],marker='.',color=(redd, 0,bluu ) )\n",
    "\n",
    "x,y = origMAP.exterior.xy\n",
    "plt.plot(x,y,c=\"green\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 355,
   "id": "f3e9bde3-06f6-402d-bce1-62b5631e8db0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# CORRELATION OF TRACT UNDER-USAGE IN OTHER TRACT'S HOME DISTRICTS vs. being near a boundary\n",
    "fig, ax = plt.subplots()\n",
    "plt.scatter(tractUse,nearEdge,marker='.' )\n",
    "ax.set(xlabel=\"tract use vs. expectation\", ylabel=\"number of unfilled wedges - max = \"+str(nWedges))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 356,
   "id": "6bb5c12a-a6a4-4cb1-9026-d227bc11c2ea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of TRACT usage by tract\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LET'S VISUALIZE OUR tract usage in a histogram  (this is for wedge, not NN approach)\n",
    "n_bins=50\n",
    "print(\"this is a histogram of TRACT usage by tract\")        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(tractUse, bins=n_bins)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 358,
   "id": "121f9869-3d25-4594-93b3-64a57a95aca8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of PRECINCT usage by tract\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LET'S VISUALIZE OUR precinct usage in a histogram  (this is for wedge, not NN approach)  **ONLY from live file, not saved***\n",
    "n_bins=50\n",
    "print(\"this is a histogram of PRECINCT usage by tract\")        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(precinctUse, bins=n_bins)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 359,
   "id": "f6f03dcb-c722-4789-b47f-fb7aa3be97bc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "here's a look at numerical stability - number of loops as a histogram\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"here's a look at numerical stability - number of loops as a histogram\")\n",
    "n_bins=20     \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(tractLoopCounter, bins=n_bins)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 360,
   "id": "974631b2-10ef-4847-af2e-a1e26b6fa768",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of home-district pct GOP by tract\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LET'S VISUALIZE OUR HOME DISTRICT red-blue lean in a histogram  (this is for wedge, not NN approach)\n",
    "n_bins=50\n",
    "print(\"this is a histogram of home-district pct GOP by tract\")        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(HDvGOP, bins=n_bins,weights=HDweight)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 361,
   "id": "58119ef8-13ef-4135-9843-6518025dda07",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of home-district population by tract\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LET'S VISUALIZE OUR HOME DISTRICT population in a histogram  (this is for wedge, not NN approach)\n",
    "n_bins=50\n",
    "print(\"this is a histogram of home-district population by tract\")        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(HDvPop, bins=n_bins)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 362,
   "id": "1f9101bd-108a-48cb-bee5-3f4e04c18132",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of home-district area by tract\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# more HOME DISTRICT STATS in a histogram  (this is for wedge, not NN approach)\n",
    "n_bins=50\n",
    "print(\"this is a histogram of home-district area by tract\")        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(HDarea, bins=n_bins)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 363,
   "id": "d8167a80-2b91-4adc-ab34-9e010838213d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# What is the correlation of HD area to red-blue lean?\n",
    "fig, ax = plt.subplots()\n",
    "plt.scatter(HDarea,HDvGOP,marker='.' )\n",
    "ax.set(xlabel=\"tract area\", ylabel=\"home district pct GOP\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 366,
   "id": "cf95cc7c-e58a-4174-94f6-b6d4c7ccb0ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# What is the correlation of tract usage to red-blue lean?\n",
    "fig, ax = plt.subplots()\n",
    "plt.scatter(HDvGOP,tractUse, marker='.' )\n",
    "ax.set(xlabel=\"home district pct GOP\", ylabel=\"tractUse\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 368,
   "id": "617384b8-1e0b-45a7-ae09-babe8dd9d429",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# What is the correlation of tract usage to tract population?\n",
    "fig, ax = plt.subplots()\n",
    "plt.scatter(tractPop,tractUse, marker='.' )\n",
    "ax.set(xlabel=\"Census tract population\", ylabel=\"tractUse\")\n",
    "ax.set_xlim(left=0,right=10000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 364,
   "id": "91f163ab-6b94-47ee-bd29-be3e751fe2b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# UPDATED VOTES-SEATS CURVE (from votes2seats.ipynb 1/15/22)\n",
    "# LET'S REWORK OUR VOTES - SEATS CALCULATIONS\n",
    "# FIRST, LET'S DO THE BASIC VOTES-TO-SEATS, no fractional seats\n",
    "# INPUTS ARE HDvGOP[nTracts] and HDweight[nTracts]\n",
    "# HDvGOP is the redness lean of each Census tract's Home District\n",
    "# HDweight is the population of this Census tract relative to the state population\n",
    "# stateGOP is the statewide fraction of GOP vote vs. GOP + Dem vote\n",
    "# KEY EQUATION:\n",
    "# expected Seats at a given vote V = sum(HDweight) for tracts with HDvGOP > 0.5 + (V - stateGOP)\n",
    "# for easy calculation, create ~1000 bins, each bin containing HD's in a dV vote window\n",
    "nBins = 1000\n",
    "dV = 1./nBins\n",
    "binWeight = [0.]*nBins\n",
    "\n",
    "for t in range(nTracts):\n",
    "    binNo = int(HDvGOP[t]*nBins)   #which vote bin does this tract's vote go into for the expected statewide vote?\n",
    "    binWeight[binNo] += HDweight[t]\n",
    "    \n",
    "binVote = [0.]*nBins  #this will store the statewide vote for this bin\n",
    "for b in range(nBins) :\n",
    "    binVote[b] = b*dV\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.plot(binVote, binWeight, marker='.',linestyle=\"none\")\n",
    "ax.set(xlabel=\"district pct GOP\", ylabel=\"bin weight\")\n",
    "plt.show()   #this should resemble above histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 365,
   "id": "80bbe6d3-0804-4853-95c5-18cc68377376",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5133838231433627  = HD-average statewide GOP vote, vs inputted  0.517202215682034\n"
     ]
    }
   ],
   "source": [
    "#QUICK calc of statewide GOP vote.  Comment out last line if proceeding directly\n",
    "stateGOP2 = 0.\n",
    "for t in range(nTracts):\n",
    "    stateGOP2 += HDvGOP[t]*HDweight[t]\n",
    "print(stateGOP2,\" = HD-average statewide GOP vote, vs inputted \",stateGOP)\n",
    "#stateGOP = stateGOP2   #may want to comment this out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 369,
   "id": "85608d3f-c3bd-4d91-9378-16270ceeb9b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#continuing with votes-to-seats, let's compute the S(V) curve with no fractional-seat smearing\n",
    "cumVote = [0.]*nBins\n",
    "for b in range(nBins) :\n",
    "    cumVote[nBins-b-1] = np.sum(binWeight[:(b+1)])  #cumulative weight of all Home Districts below vote b*dV\n",
    "    # print(\"bin, bin vote, cumVote for this bin\",b,b*dV,cumVote[b] )\n",
    "    \n",
    "cumSeats = [0.]*nBins  #this will sum the seats earned for a given statewide vote\n",
    "stateVoteBin = int( (stateGOP+0.5*dV)*nBins )   #which bin (out of 1/dV) holds the statewide total vote?\n",
    "for b in range(nBins) :\n",
    "    bb = int( max(0,min(nBins-1,nBins/2 + b-stateVoteBin)) )\n",
    "    cumSeats[b] = 1. - cumVote[bb]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.plot(binVote, cumSeats, marker='.',linestyle=\"none\")\n",
    "ax.set(xlabel=\"statewide vote, nBins =\"+str(nBins), ylabel=\"GOP seats won (no fractl smearing)\",)\n",
    "RANGE = [0.1, 0.9]\n",
    "fifty50 = [0.5, 0.5]\n",
    "expected = [stateGOP, stateGOP]\n",
    "plt.plot(RANGE,fifty50)\n",
    "plt.plot(fifty50,RANGE)\n",
    "plt.plot(expected,RANGE, linestyle=\"--\",color='red')\n",
    "\n",
    "#LET'S ALSO crudely ESTIMATE RESPONSIVENESS near the STATEWIDE VOTE, with a pseudonormal weighting and lst-sq fit\n",
    "stateSigma = 0.03  #User-adjustable, this is the uncertainty in the statewide vote from election to election\n",
    "usedBins = int(stateSigma/dV)\n",
    "nFitPoints = 6*usedBins\n",
    "voteData = [0.]*nFitPoints\n",
    "seatData = [0.]*nFitPoints\n",
    "counter = 0\n",
    "for b in range(nBins):\n",
    "    if ( abs(b-stateVoteBin) <= 2*usedBins ):  #include this S-V pair in our line fit\n",
    "        voteData[counter]=binVote[b]\n",
    "        seatData[counter]=cumSeats[b]\n",
    "        counter += 1\n",
    "        # print(b,counter)\n",
    "        if ( abs(b-stateVoteBin) < usedBins) : #double count this in data set\n",
    "            voteData[counter]=binVote[b]\n",
    "            seatData[counter]=cumSeats[b]\n",
    "            counter +=1\n",
    "fit = np.polyfit(voteData,seatData,1)  #first-order linear regression with old polyfit\n",
    "Rsimple = fit[0]     #slope is fit[0] in y = mx + b, intercept is fit[1]\n",
    "y0 = fit[1]\n",
    "Rx = [stateGOP - 4.*stateSigma, stateGOP + 4.*stateSigma]\n",
    "Ry = [y0 + Rx[0]*Rsimple, y0 + Rx[1]*Rsimple]\n",
    "plt.plot(Rx,Ry ) \n",
    "ax.text(Rx[1]+0.02, Ry[1]+0.02, \"R = \"+str(round(Rsimple,4)), transform=ax.transAxes, fontsize=14,color='purple')\n",
    "expectedSeats = cumSeats[stateVoteBin]\n",
    "ax.text(0.02,expectedSeats+0.03,\"expected seats = \"+str(round(expectedSeats,3)),transform=ax.transAxes,fontsize=9)\n",
    "Ex = [0,stateGOP ]\n",
    "Ey = [expectedSeats, expectedSeats]\n",
    "plt.plot(Ex,Ey, linestyle='-.',color='red')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 370,
   "id": "50bd59d3-cc09-4273-881c-ada4c8472bba",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.611504355999999\n"
     ]
    }
   ],
   "source": [
    "#print(len(voteData))\n",
    "# let's confirm our expected seats in above graph is correct\n",
    "seats1=0.\n",
    "for t in range (nTracts):\n",
    "    if(HDvGOP[t] > 0.500 ):\n",
    "        seats1 += HDweight[t]\n",
    "print(seats1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "a75c0f38-13ee-46fb-9f13-87e7d996f8f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is a histogram of vote bins\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# debugging\n",
    "n_bins=84\n",
    "\n",
    "print(\"this is a histogram of vote bins\")        \n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "ax.hist(voteData, bins=n_bins)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 371,
   "id": "67ebcbfa-b2e3-41fe-8106-51326d25a204",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hi\n"
     ]
    }
   ],
   "source": [
    "# VOTES --> SEATS CURVE, NO FRACTIONAL-SEAT SMEARING (THIS IS WRONG!! OFFSETS BY 2*(STATEGOP - 0.5) USE ABOVE INSTEAD ***)\n",
    "# this block purloined from nonperiodic 1/9/22, needs to be fixed \n",
    "print(\"hi\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 374,
   "id": "7e3774e6-1c82-41f0-b3d9-84017d8eed9b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_57/3612306890.py:17: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  HDweight[hd] = HDweight[hd] / HDsum  #normalize home district weights before we start\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "constant statewide, working on home district number  0\n",
      "constant statewide, working on home district number  200\n",
      "constant statewide, working on home district number  400\n",
      "constant statewide, working on home district number  600\n",
      "constant statewide, working on home district number  800\n",
      "constant statewide, working on home district number  1000\n",
      "constant statewide, working on home district number  1200\n",
      "constant statewide, working on home district number  1400\n",
      "constant statewide, working on home district number  1600\n",
      "constant statewide, working on home district number  1800\n",
      "constant statewide, working on home district number  2000\n",
      "constant statewide, working on home district number  2200\n",
      "constant statewide, working on home district number  2400\n",
      "constant statewide, working on home district number  2600\n",
      "constant statewide, working on home district number  2800\n",
      "constant statewide, working on home district number  3000\n",
      "constant statewide, working on home district number  3200\n",
      "constant statewide, working on home district number  3400\n",
      "constant statewide, working on home district number  3600\n",
      "constant statewide, working on home district number  3800\n",
      "constant statewide, working on home district number  4000\n",
      "constant statewide, working on home district number  4200\n",
      "constant statewide, working on home district number  4400\n",
      "constant statewide, working on home district number  4600\n",
      "constant statewide, working on home district number  4800\n",
      "constant statewide, working on home district number  5000\n",
      "variable statewide, working on bin number  0\n",
      "variable statewide, working on bin number  200\n",
      "variable statewide, working on bin number  400\n",
      "variable statewide, working on bin number  600\n",
      "variable statewide, working on bin number  800\n",
      "hd-based smeared statewide vote was 0.513395 (from mean of 0.513384), expected was 0.517202215682034\n",
      "fSum, f2sum, dV were  0.9999989686562805 0.9999989686562172 0.001\n",
      "exp seat fraction is 0.5862909139139435 (or 0.5797889546247755 if we include state outcome variance) \n",
      "responsiveness for the map = 3.1414450730132635 using district variance 0.05 and statewide variance 0.03\n"
     ]
    }
   ],
   "source": [
    "# THIS BLOCK: COMPUTING FINAL STATS with FRACTIONAL-SEAT SMEARING (about 2min for 3200 tracts)\n",
    "#  NEED ** TO ** REWORK FROM VOTES2SEATS CODE ***\n",
    "nHDs = len(HDweight)\n",
    "seatVar = 0.05  #this is the normal variance in the outcome of a district race\n",
    "stateVar = 0.03  #this is the normal variance in the statewide vote (to account for blue- and red-wave years)\n",
    "\n",
    "maxSD = 3.1  #we truncate normal distributions more than 3.1 sigma away (0.1% tail on either side)\n",
    "#nBins = xxx, dV = 1./nBins  #passed from above sections\n",
    "#nTracts = ..., nHDs = nTracts    #**(passed) this will be passed from above code\n",
    "f_V = [0.]*nBins  #binned votes curve with fractional seats\n",
    "f2_V = [0.]*nBins #binned votes curve with variation in statewide outcome\n",
    "totalF = 0.  #for normalizing f(V)\n",
    "stateAvg1 = 0.\n",
    "printInterval = 200 #for tracking our progress\n",
    "HDsum = np.sum(HDweight)\n",
    "for hd in range(nHDs):\n",
    "    HDweight[hd] = HDweight[hd] / HDsum  #normalize home district weights before we start\n",
    "    stateAvg1 += HDweight[hd]*HDvGOP[hd]  #first pass on hd-based statewide vote (no fractional seat smearing)\n",
    "    \n",
    "for hd in range(nHDs):   #votes curve to seats curve first loop: statewide vote is constant  \n",
    "    if hd % printInterval == 0 :\n",
    "        print(\"constant statewide, working on home district number \",hd) \n",
    "    HDv = HDvGOP[hd] #shorthand for GOP vote in home district number = hd\n",
    "    lowBin =  max(0, int(round( (HDv-maxSD*seatVar)/dV, 0)) )   #b.c. convolution for bins below v = vLow is negligible\n",
    "    highBin = min(nBins-1, int(round( (HDv+maxSD*seatVar)/dV, 0)) )\n",
    "    vLow =  dV * lowBin\n",
    "    vHigh = dV * highBin  \n",
    "    f_V[lowBin] +=  HDweight[hd]*norm.cdf((vLow+0.5*dV - HDv)/seatVar)      #truncate left tail, assign to leftmost bin in this group\n",
    "    f_V[highBin] += HDweight[hd]*(1-norm.cdf((vHigh-0.5*dV - HDv)/seatVar)) #and assign all of right tail to rightmost bin in this group\n",
    "    for bin in range(lowBin+1,highBin,1) : #only convolute between these tails\n",
    "        v = dV * (bin + 0.5)  #mean vote is in middle of bin range\n",
    "        lowD = v - 0.5*dV - HDv  #difference between left edge of bin and home-district's GOP lean\n",
    "        hiD = v + 0.5*dV - HDv   #same, right edge\n",
    "        # delta = v - HDv  #signed difference between middle of this vote interval bin and h.d. GOP lean   \n",
    "        f_V[bin] += HDweight[hd]*( norm.cdf(hiD/seatVar)-norm.cdf(lowD/seatVar) )\n",
    "        # fracOfHDinthisVinterval = same as above\n",
    "        # print(HDv,v,dV,fracOfHDinthisVinterval,\"HDV,v,dV,fracOfHDinthisVinterval\")\n",
    "\n",
    "stateAvg2 = 0.     #let's check the statewide vote\n",
    "for bin in range(nBins):  \n",
    "    if bin % printInterval == 0 :\n",
    "        print(\"variable statewide, working on bin number \",bin) \n",
    "    stateAvg2 += f_V[bin]*((bin+0.5)*dV)\n",
    "        # now do binning for votes curve with statewide variation.  Approximation to rigorous but slow double-convoluting\n",
    "    binV = dV * (bin+0.5)\n",
    "    lowBin2 = max(0, bin - int(round(maxSD*stateVar/dV,0)) )   #again, left & right tail truncation\n",
    "    highBin2 = min(nBins-1,bin + int(round(maxSD*stateVar/dV,0)) )\n",
    "    vLow2 =  dV * (lowBin2+0.5)\n",
    "    vHigh2 = dV * (highBin2+0.5)\n",
    "    f2_V[lowBin2] +=  f_V[bin]*norm.cdf((vLow2+0.5*dV - binV)/stateVar)      #same truncation, but with statewide spread\n",
    "    f2_V[highBin2] += f_V[bin]*(1-norm.cdf((vHigh2-0.5*dV - binV)/stateVar))\n",
    "    for bin2 in range(lowBin2+1, highBin2, 1) : #only convolute between these tails\n",
    "        v = dV * (bin2 + 0.5)  #center of new bin\n",
    "        lowD = v - 0.5*dV - binV  #difference between left edge of new bin and old bin\n",
    "        hiD =  v + 0.5*dV - binV\n",
    "        f2_V[bin2] += f_V[bin]*( norm.cdf(hiD/stateVar)-norm.cdf(lowD/stateVar) )\n",
    "\n",
    "stateAvg1 = round(stateAvg1,6)\n",
    "stateAvg2 = round(stateAvg2,6)\n",
    "print(\"hd-based smeared statewide vote was {0} (from mean of {1}), expected was {2}\".format(stateAvg2, stateAvg1,stateGOP) )\n",
    "fSum = 0.\n",
    "f2Sum = 0.\n",
    "for bin in range (nBins) : #do a quick normalization, though these are close to unity\n",
    "    fSum += f_V[bin]\n",
    "    f2Sum += f2_V[bin]\n",
    "for bin in range (nBins):\n",
    "    f_V[bin] = f_V[bin]/fSum\n",
    "    f2_V[bin] = f2_V[bin]/f2Sum\n",
    "    \n",
    "expSeatFrac = 1.\n",
    "varSeatFrac = 1.\n",
    "print(\"fSum, f2sum, dV were \",fSum, f2Sum, dV)\n",
    "for bin in range (nBins) :\n",
    "    vMID = (bin + 0.5) * dV\n",
    "    vMin = vMID - 0.5 * dV\n",
    "    vMax = vMin + dV\n",
    "    weight = max(0,min( (0.5-vMin)/(vMax - vMin), 1 ) )   #use lever rule if this bin straddles the toss-up point\n",
    "    expSeatFrac -= weight * f_V[bin]\n",
    "    varSeatFrac -= weight* f2_V[bin]\n",
    "print(\"exp seat fraction is {0} (or {1} if we include state outcome variance) \".format(expSeatFrac,varSeatFrac) ) \n",
    "\n",
    "R = f2_V[int(nBins/2)]  / dV  #responsiveness is dS-dV at the toss-up point (after smoothing from state and local uncert'ys        \n",
    "print(\"responsiveness for the map = {0} using district variance {1} and statewide variance {2}\".format(R,seatVar,stateVar) )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 375,
   "id": "1661890d-4bf0-4361-a57a-336189fc85b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "distribution of seats for state =  FL\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LET'S PLOT OUR OUTPUTS\n",
    "print(\"distribution of seats for state = \",STATE)\n",
    "vPlot = [0]*nBins\n",
    "for i in range(nBins) :\n",
    "     vPlot[i]=i*dV+0.5*dV\n",
    "seatRange = [0., np.max(f_V)]\n",
    "exp = [stateGOP,stateGOP]\n",
    "plt.plot(vPlot, f_V, label='S(V) at expd statewide vote')\n",
    "plt.plot(vPlot, f2_V,label=\"S(V) w varied statewide\")\n",
    "plt.plot(exp,seatRange)\n",
    "plt.xlabel('district vote')\n",
    "plt.ylabel('seat frequency')\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 376,
   "id": "6a8e043a-c560-4e06-a917-091d87a6fd3a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# PLOT THE CUMULATIVE SEATS-VOTES CURVE, OVERLAY RESPONSIVENESS  #  **need to check this math**\n",
    "cumSeats = [0.]*nBins\n",
    "for bin in range(1,nBins-1):\n",
    "    cumSeats[bin]=cumSeats[bin-1]+ (0.5*f2_V[nBins-bin]+0.5*f2_V[nBins-bin-1] )\n",
    "cumSeats[nBins-1] = 1.\n",
    "RANGE = [0.1, 0.9]\n",
    "fifty50 = [0.5, 0.5]\n",
    "minVote = stateAvg2 - stateVar\n",
    "maxVote = stateAvg2 + stateVar\n",
    "seatsX = [minVote, maxVote]\n",
    "minSeats = varSeatFrac + R* (minVote - 0.5)\n",
    "maxSeats = varSeatFrac + R* (maxVote - 0.5)\n",
    "seatsY = [minSeats,maxSeats]\n",
    "fifty50 = [0.50, 0.50]\n",
    "stringR = str(round(R,4))\n",
    "plt.plot(vPlot, cumSeats, label='fraction of seats')\n",
    "plt.plot(seatsX,seatsY, label=\"respvness =\"+stringR)\n",
    "plt.plot(RANGE,fifty50)\n",
    "plt.plot(fifty50,RANGE)\n",
    "plt.grid()\n",
    "plt.xlabel('statewide vote')\n",
    "plt.ylabel('fraction of seats')\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "18767504-3fc9-4bef-9fb6-7ead3a92e3e2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
